maths homework booklet e4 - turton school

Maths Homework Booklet

E4 Section Due by E4.1 E4.2 E4.3 E4.4 E4.5 E4.6 E4.7 E4.8 E4.9 E4.10 E4.11 E4.12 E4.13 E4.14 E4.15 E4.16

Name

Form

Teacher

Hand-in date: _________________ E4.1 Multiply two decimals together 1 Work out

Count the total number of decimal places in the question; the answer must have the same number of decimal places.

a -0.3 0.4 b 0.07 -0.08 c -0.01 -0.4

............................................ ............................................ ............................................

d -0.006 0.5 e 1.2 0.3 f -4.3 -0.02

............................................ ............................................ ............................................

2 Work out

a 2.43 x -2.1 b 1.85 x 0.32 c -92.3 x 5.3

............................................ ............................................ ............................................

d -6.75 x -0.43 e 0.123 x -0.45 f -0.048 x 2.7

............................................ ............................................ ............................................ 8 Work out

a 11 squared

.......................................................................................................................................................

b 1.13

.......................................................................................................................................................

c the square of 110

.......................................................................................................................................................

9 Work out

a (0.6)²

........................................................................................................................................................

b (0.6)³

........................................................................................................................................................

1. Divide thirty-one point five by ten.

11. Calculate ten minus four point three five.

2. What is seven point five divided by one hundred?

12. One book costs one pound ninety-five pence. How much do six books cost?

3. Round four point seven six to one decimal place

13. What is two-thirds of sixty-six?

4. Round 17.64 to the nearest whole number.

14. What fraction of two pounds is twenty pence?

5. Which of the numbers below are exactly divisible by 9?

117 127 225 263 318

15. What is ninety-nine per cent of two hundred?

6. Which is bigger, 40% of 90 or ½ of 80?

16. What is twenty-five multiplied by two hundred?

7. Which decimal is equal to one-fifth?

0.5 0.15 0.2 0.1 0.4

17. What is the difference between 289 and 352.

8. Put these in order of size, smallest first.

60% 0.4 ½

18. What temperature is 20 degrees lower than 6 degrees Celsius?

9. What is the fraction twelve twentieths in its simplest form?

19. Six cakes cost £1.80. How much do ten cakes cost?

10. Which fraction is equal to 2 / 3?

4 / 7 9 / 12 6 / 9

20. In a group of 45 children, there are twice as many boys as girls. How many girls are there?

Hand-in date: _________________ E4.2 Round numbers and measures to an appropriate degree of accuracy

1 Write each of these numbers correct to 1 significant figure.

a 6.4 ...................................... b 3.8 ...................................... c 17.8 ......................................

d 378 ...................................... e 94.79 ......................................

Do not forget that that there must be only one figure in your answer that is not a zero.

2 Write each of these numbers correct to 1 significant figure.

a 0.64 ...................................... b 0.0038 ...................................... c 1.0038 ......................................

d 0.0099 ...................................... e 0.6009 ......................................

Any leading zeroes are not significant figures, so think about the first non-zero figure in each number.

3 Write each of these numbers correct to 3 significant figures.

a 6.456 ...................................... b 3.142 ...................................... c 17.88 ......................................

d 37802 ...................................... e 94.01 ......................................

Don’t forget there is a difference between 6.0 (2 significant figures) and 6.00 (3 significant figures).

4 Write each of these numbers correct to 3 significant figures

a 0.6411 ...................................... b 0.03088 ...................................... c 1.0038 ......................................

d 0.009999 ...................................... e 0.6009 ......................................

Zeroes in the middle of a number are significant.

5 Write these numbers to the number of significant figures indicated in brackets.

a 921 (1) .....................................

b 971 (1) .....................................

c 1127 (2) .....................................

d 3.0781 (3) .....................................

e 0.005642 (3) .....................................

1. Divide forty-seven point five by ten.

11. Calculate ten minus five point six.

2. What is nineteen point five divided by one hundred?

12. One book costs £2.99. How much do six books cost?

3. Round four point two five to one decimal place.

13. What is two-fifths of sixty?


14. What fraction of two pounds is fifty pence?


119 702 432 641 372

15. What is seventy-five per cent of two hundred?


16. What is thirty multiplied by two hundred?

7. Which decimal is equal to one-sixth?

0.6 0.15 0.2 0.3 0.4



0.4 60% ⅕

18. What temperature is 15 degrees lower than seven degrees Celsius?

9. What is the fraction ten fourteenths in its simplest form?

19. Six cakes cost £2.40. How much do ten cakes cost?

10. Which fraction is equal to ¾?

⁴⁄₇ ⁶⁄₈ ⁶⁄₉


Hand-in date: _________________ E4.3 Round numbers (to 1 significant figure) to approximate or estimate answers

1 Work out an estimate in each case by first rounding each number correct to 1 significant figure. a The area of a rectangle 20.3 cm by 39.2 cm.

......................................................................................................................

b The area of a square with a side of length 51 cm.

......................................................................................................................

c The total length of 48 rods each of length 5.8 metres.

......................................................................................................................

2 Work out an estimate for the value of each of

a 17.8 × 31.1 b 99.8 × 41.2

.............................................................. .............................................................. c 19.8 ÷ 3.2 d 617 ÷ 4.9

.............................................................. .............................................................. 4 Work out an estimate of the following and state whether your answer is an underestimate or overestimate.

a 499 × 68 b 7.1 × 20.68

.............................................................. .............................................................. c 18.5 ÷ 4.1 d (21.8 × 11.06) ÷ 4.88

.............................................................. .............................................................. When you round up in the numerator and round down in the denominator then you make the answer bigger

1 Work out estimates for the values of the following.

When multiplying decimals count the total number of figures after the decimal point.

a 6.8 × 0.48 .................................................................. b 0.088 × 0.38 ..................................................................

c 0.75 × 0. 059 .................................................................. d 0.0028 × 0.0788 ..................................................................

e 0.0682 ..................................................................

2 Work out estimates for the values of the following.

a 5.78 ÷ 0.601 .................................................................. b 58. 99 ÷ 0.096 ..................................................................

c 199 ÷ 0.51 .................................................................. d 0.333 ÷ 0. 641 ..................................................................

e 0.028 ÷ 0. 614 ..................................................................

When dividing by a decimal multiply both numbers to make the divisor a whole number.

.

1. Divide one hundred and sixteen point five by one hundred.

11. Calculate ten minus three point nine.

2. What is nineteen point three five multiplied by ten?

12. One book costs £1.99. How much do four books cost?

3. Round seven point seven six to one decimal place.

13. What is five-sixths of sixty?


14. What fraction of a pound is seventy pence?


115 504 968 646 882

15. What is thirty per cent of two hundred?

6. Which is bigger, 80% of 150 or ¾ of 200?

16. What is thirty multiplied by seventy?

7. Which decimal is equal to one-fifth?

0.6 0.15 0.2 0.3 0.4



0.3 75% ⁴⁄₅

18. What temperature is ten degrees higher than -7°C ?

9. What is the fraction ten twelfths in its simplest form?

19. Five cakes cost £3.50. How much do seven cakes cost?

10. Which fraction is equal to ⅕?

⁴⁄₇ ⁶⁄₃₀ ⁵⁄₁₅


Hand-in date: _________________ E4.4 Use unit pricing to solve

1 Three pencils cost 48p. Work out the cost of

a 1 pencil ......................................................................................................................................................

b 5 pencils ....................................................................................................................................................

c 9 pencils. ...................................................................................................................................................

2 Jemilla buys 16 packets of crisps for £7.68. How much will she pay for 20 packets of crisps?

.................................................................................................................................................................................................................................................

4 The cost for an adult ticket for a cinema is £6.95; a ticket for a child is £3.50. Mrs Bennett buys 2 adult tickets and some child tickets. The total cost of the tickets was £45.40. How many child tickets did she buy?

.......................................................................................

5 Emily pays £12.80 per month for her mobile phone and 4.5p for every minute that she uses her phone. One month she uses her phone for 156 minutes. Work out Emily’s bill.

Be careful not to mix up pounds and pence in your calculations.

.......................................................................................

9 The cost of material is directly proportional to its length. 1.5 m of material costs £9.60 How much will 5 m of material cost?

.................................................................................................................................................................................................................................................

.................................................................................................................................................................................................................................................

10 It takes 4 builders 6 days to build a wall. How long will it take

a 2 builders ..................................................................................................................................................................................................................

.................................................................................................................................................................................................................................................

b 3 builders ..................................................................................................................................................................................................................

.................................................................................................................................................................................................................................................

c 6 builders ..................................................................................................................................................................................................................

.................................................................................................................................................................................................................................................

d 12 builders? ...........................................................................................................................................................................................................

1. Divide two hundred and nine point five by one hundred.

11. Calculate ten point two minus three point nine.

2. What is thirty point zero five multiplied by ten?

12. One book costs £1.95. How much do three books cost?

3. Round six point nine five to one decimal place.

13. What is two-sixths of fifty-four?


14. What fraction of a pound is eighty pence?


107 513 944 126 802

15. What is thirty-five per cent of two hundred?

6. Which is bigger, 70% of 200 or ¾ of 160?

16. What is twenty multiplied by eighty?

7. Which decimal is equal to three-fifths?

0.6 0.15 0.2 0.3 0.4

17. What is the difference between 89 and 236


0.9 75% ⁴⁄₅

18. What temperature is nine degrees higher than -3°C ?

9. What is the fraction five twentieths in its simplest form?


10. Which fraction is equal to ⅕?

⁴⁄₇ ⁶⁄₃₀ ⁵⁄₁₅

20. In a group of 80 children, there are three times as many boys as girls. How many girls are there?

Hand-in date: _________________ E4.5 Add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions

1 Work out

a 1 12 3+ b 1 1

4 7−

......................................................................... .........................................................................

c 2 15 6– d 1 2

4 3+

......................................................................... .........................................................................

e 1 46 5

+ f 3 24 3

−

......................................................................... ......................................................................... 3 Work out

a 1 24 35 + 3 b 1 1

233 + 6

......................................................................... .........................................................................

c 325 48 3− d 1 2

5 37 + 4

......................................................................... .........................................................................

5 Anya bought two melons. One melon weighed 341 kg, the other melon weighed 5

8 kg. Work out the total

weight of the two melons.

..............................................................................

6 The distance from Hal’s house to the shops is 126 miles. Hal cycles to the shops from his house. When

he has cycled 454 miles his bike gets a puncture. He pushes his bike the rest of the way to the shops.

How far does Hal push his bike?

..............................................................................

1. Divide two hundred and thirty point one by one hundred.

11. Calculate ten point one minus eight point five.

2. What is ten point nine two multiplied by ten?

12. One book costs 95p. How much do five books cost?

3. Round nine point four two to one decimal place.

13. What is five-sixths of forty-two?


14. What fraction of a pound is twenty-five pence?


243 516 941 166 612

15. What is seventy per cent of three hundred?

6. Which is bigger, 40% of 200 or ⅓ of 150?

16. What is forty multiplied by eighty?

7. Which decimal is equal to two-fifths.

0.6 0.15 0.2 0.3 0.4

17. What is the difference between 95 and 192


0.7 85% ⁴⁄₅


9. What is the fraction eight twentieths in its simplest form?

19. Eight cakes cost £4.00. How much do three cakes cost?

10. Which fraction is equal to ⅔?

⁴⁄₇ ⁶⁄₃₀ ⁶⁄₉


Hand-in date: _________________ E4.6 Using the averages and the range to compare small sets of data

3 Write down the advantages and disadvantages of using the mode as an average. ................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................. 4 Write down the advantages and disadvantages of using the median as an average. ................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................. 5 Write down the advantages and disadvantages of using the mean as an average. ................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................

1. Divide 37.9 by ten.

11. Calculate ten minus seven point three.

2. What is 38.75 divided by one hundred?

12. One book costs £2.98. How much do 4 books cost?

3. Round 38.86 to one decimal place.

13. What is two-fifths of 45?


14. What fraction of £3.00 is fifty pence?


116 713 495 640 360

15. What is 65 % of two hundred?


16. 40 x 300

7. Which decimal is equal to six- tenths?

0.6 0.15 0.2 0.3 0.4

17. What is the difference between 164 and 220?


0.1 30% ⅕

18. What temperature is twenty degrees lower than nine degrees Celsius?

9. What is the fraction ten twelfths in its simplest form?

19. Seven cakes cost £2.10. How much do ten cakes cost?

10. Which fraction is equal to ⅖?

⁴⁄₇ ⁴⁄₁₀ ⁶⁄₉


.

Hand-in date: _________________ E4.7 Write one value as a percentage of another

Remember to write one amount as the percentage of another, form a fraction then multiply by 100.

1 Write

a £5 as a percentage of £20 .........................................................................................................................................

b 5 kg as a percentage of 25 kg ................................................................................................................................

c 3 m as a percentage of 60 m ...................................................................................................................................

d 60p as a percentage of £4 ........................................................................................................................................

e 75 cm as a percentage of 3 m .................................................................................................................................

f 700 m as a percentage of 14 km ...........................................................................................................................

2 Change these test results into percentages. Give your answers to 3 significant figures.

a 43 out of 250 .................................................................................................................................

b 69 out of 320 .................................................................................................................................

c 42 out of 215 ................................................................................................................................

d 38 out of 72 ...................................................................................................................................

e 45 out of 120 ................................................................................................................................

f 37 out of 40 ..................................................................................................................................

g 259 out of 1000 ...........................................................................................................................

h 78 out of 356 ................................................................................................................................

3 At a school, 34 students were absent out of a total of 456. What percentage of students were absent? .................................................................................................................................................................................................................................................. 4 Adam scored 76 out of 104 in a Biology test and 53 out of 75 in a French test. In which test did he do better? Give a reason for your answer.

..................................................................................................................................................................................................................................................

.................................................................................................................................................................................................................................................. 5 A football stadium has a capacity of 14 500. At a match one weekend, 8900 people were present. Work out the percentage of the stadium that was occupied. ..................................................................................................................................................................................................................................................

1. Divide 41.5 by one hundred.

11. 10 – 4.7

2. 18.96 x 10

12. One book costs £3.99. How much do two books cost?


13. What is three-fifths of thirty?


14. What fraction of a pound is forty pence?


112 502 968 646 882

15. Find 25% of 160

6. Which is bigger, 40% of 120 or ¼ of 200?

16. What is fifty multiplied by seventy?

7. Which decimal is equal to two-fifths?

0.6 0.15 0.2 0.3 0.4



0.8 30% ³⁄₅

18. What temperature is twelve degrees higher than -6°C ?

9. What is the fraction ¹⁵⁄₂₀ in its simplest form?


10. Which fraction is equal to ¼?

⁴⁄₁₆ ⁶⁄₃₀ ⁵⁄₁₅


Hand-in date: _________________ E4.8 Find the percentage change to a value without a calculator


11. 10 – 3.3

2. 27.49 x 10

12. One book costs £1.99. How much do five books cost?


13. What is two-fifths of twenty-five?


14. What fraction of a pound is 35 pence?


112 501 968 646 882

15. Find 60% of 300


16. What is thirty multiplied by sixty?

7. Which decimal is equal to three-fifths?

0.6 0.15 0.2 0.3 0.4



0.5 65% ³⁄₅


9. What is the fraction ¹²⁄₁₈ in its simplest form?

19. Seven cakes cost £3.50. How much do nine cakes cost?

10. Which fraction is equal to ⅓?

⁶⁄₃₀ ⁴⁄₁₂ ⁵⁄₁₆


Hand-in date: _________________ E4.9 Compare and order fractions, decimals and percentages, including those greater than 1

1 Write each percentage as a fraction.

a 83% ................................................ b 17% ................................................

c 3% ................................................ d 51% ................................................ e 29% ................................................

2 Write each percentage as a fraction in its lowest terms.

a 4% ................................................ b 10% ................................................ c 50% ................................................

d 25% ................................................ e 75% ................................................ f 80% ................................................

g 5% ................................................ h 28% ................................................ i 30% ................................................

j 88% ................................................

3 Write each percentage as a decimal.

a 45% ................................................ b 4% ................................................ c 70% ................................................

d 1% ................................................ e 37% ................................................

Remember: 70% means 70 out of 100 or 70100 .

4 Write each list in order of size, start with the smallest number.

a 27% 0.3 14 b 0.42 45%

25 c 0.64

23 60%

58

................................. ................................. .................................

5 Write the following sets of numbers in ascending order.

a 4

5 , 0.45, 0.85, 1925 , 78% b 1

4 , 20%, 1 310 , 2

5 , 1.35

....................................................................... ....................................................................... c 57

100 , 1 35 , 0.58, 165%, 3

5 d 920 , 1.43, 1 11

25 , 34%, 1.4

....................................................................... .......................................................................

1. Divide 348 by one hundred.

11. 10.4 – 4.8

2. 10.89x 10



13. What is four-fifths of twenty?


14. What fraction of a pound is ninety pence?


102 501 968 646 882

15. Find 20% of 120


16. What is ninety multiplied by seventy?

7. Which decimal is equal to ⁶ ⁄₂₀ ?

0.6 0.15 0.2 0.3 0.4


8. Put these in order of size, smallest first. 0.5 75% ⁴⁄₅

18. What temperature is ten degrees lower than 4°C ?

9. What is the fraction ⁸⁄₂₀ in its simplest form?

19. Six cakes cost £3.60. How much do seven cakes cost?

10. Which fraction is equal to ⅛?

⁴⁄₆ ⁴⁄₃₀ ²⁄₁₆


Hand-in date: _________________ E4.10 Multiply simple pairs of proper fractions, writing the answer in its simplest form

In all these questions give your answer in its simplest form.

1 Work out

a 153 × b 3

10 3× c 310 15× d 7

8 16×

................................................. ................................................. ................................................. ............................................... 2 Work out

a 8 239 × b 1 4

7 5× c 4 1

5 2× d 2 1

3 9×

................................................. ................................................. ................................................. ...............................................

e 3 57 6

× d 7 28 21

× g 9 714 12

× h 10 621 25

×

................................................. ................................................. ................................................. ............................................... 5 Work out

a 312 102 × b 4 1

5 31×

......................................................................... .........................................................................

c 3 18 21× d 2 1

233 4×

......................................................................... .........................................................................


11. 10.1 – 2.7

2. 46.99 x 10

12. One book costs £1.98. How much do three books cost?


13. What is two thirds of twenty-four?


14. What fraction of a pound is seventy-five pence?


115 502 968 646 880

15. Find 40% of 150

6. Which is bigger, 40% of 1,000 or ¼ of 1,200?

16. What is sixty multiplied by seventy?

7. Which decimal is equal to ⁴⁄₂₀ ?

0.6 0.15 0.2 0.3 0.4


8. Put these in order of size, smallest first. 0.3 25% ²⁄₅

18. What temperature is ten degrees lower than -7°C ?

9. What is the fraction ¹²⁄₁₆ in its simplest form?

19. Six cakes cost £4.20. How much do seven cakes cost?


⁴⁄₈ ⁶⁄₉ ⁵⁄₁₅


Hand-in date: _________________ E4.11 Complete a table of values for a function and use it to draw a linear graph

1 Complete the table of values for the straight line equation. Plot the points and join them up. Write the equation on the graph. a

x 0 1 2 3 4

y = x + 5

b

x –3 –2 –1 0 1

y = 2x + 5

Hint You only need to plot three points to draw a straight line.

c

x –4 -3 -1 0 2 3 4

y = 12

x –5


11. 20 – 14.6 =

2. 0.035 x 10

12. One book costs £0.95. How much do six books cost?


13. What is five-eighths of sixty-four?


14. What fraction of a pound is forty pence?


111 532 967 646 880

15. Find 30% of 250.


16. What is fifty multiplied by seventy?

7. Which decimal is equal to ⅘ ?

0.6 0.8 0.2 0.3 0.4


8. Put these in order of size, smallest first. 0.85 75% ⅘


9. What is the fraction ¹⁸⁄₂₀ in its simplest form?


10. Which fraction is equal to ⅗?

⁴⁄₁₂ ⁶⁄₁₀ ⁵⁄₁₅


Hand-in date: _________________ E4.12 Derive and apply formulae to calculate the volume of cuboids; solve problems involving cubes and cuboids

1 Work out the volume of the following shapes. a b c

..................................................... ..................................................... ..................................................... 2 A cube has a volume of 27 cm3.

Calculate the length of one side of the cube.

...............................................................................

Hint The volume of a cuboid is length × width × height.

3 Work out the volumes of the following cuboids. a Length 5 cm, width 21 mm, height 20 mm

........................................................................................................................................................

b Length 2 12 m, width 3.4 m, height 50 cm

........................................................................................................................................................ c Length 0.5 m, width 0.6 m, height 400 cm

........................................................................................................................................................

4 Calculate the volume of this prism which is made up of two cuboids.

........................................................................................................................................................


11. 20.3 – 9.8 =

2. 0.308 x 10



13. What is three-sixths of thirty?


14. What fraction of a pound is ninety pence?


111 532 967 646 831

15. Find 25% of 180.


16. What is thirty multiplied by eighty?

7. Which decimal is equal to ⁷⁄₁₀ ?

0.6 0.15 0.2 0.7 0.4



0.5 55% ³⁄₅

18. What temperature is twelve degrees higher than -15°C ?

9. What is the fraction ¹⁰⁄₁₂ in its simplest form?

19. Four cakes cost £3.20. How much do nine cakes cost?

10. Which fraction is equal to ⅛?

⁴⁄₃₂ ⁶⁄₃₀ ⁵⁄₁₅


Hand-in date: _________________ E4.13 Divide a decimal by a whole number

1 Work out a 1.6 ÷ 2 b 1.5 ÷ 3 c 2.4 ÷ 4

............................................ ............................................ ............................................ d 48.2 ÷ 8 e 68.4 ÷ 4 f 3.75 ÷ 5

............................................ ............................................ ............................................

2 Work out a 0.0042 ÷ 3 b 0.00145 ÷ 5 c 0.0951 ÷ 3

............................................ ............................................ ............................................ d 0.0048 ÷ 6 e 0.00128 ÷ 4 f 0.0805 ÷ 7

............................................ ............................................ ............................................

3 Work out a 1.6 ÷ 20 b 1.5 ÷ 30 c 2.4 ÷ 40

............................................ ............................................ ............................................

d 0.0048 ÷ 60 e 0.00128 ÷ 40 f 0.0805 ÷ 70

............................................ ............................................ ............................................


11. 20.6 – 7.7 =

2. 1.047 x 100



13. What is five-ninths of thirty-six?


14. What fraction of a pound is ten pence?


111 522 967 936 831

15. Find 60% of 120.


16. What is forty multiplied by seventy?

7. Which decimal is equal to ⁸⁄₂₀ ?

0.6 0.15 0.2 0.3 0.4



0.5 75% ⅔

18. What temperature is ten degrees lower than -8°C ?

9. What is the fraction ¹²⁄₃₀ in its simplest form?

19. Six cakes cost £2.40. How much do four cakes cost?

10. Which fraction is equal to ⅗?

⁴⁄₂₀ ⁶⁄₃₀ ⁹⁄₁₅

20. In a group of 30 children, there are four times as many boys as girls. How many girls are there?

Hand-in date: _________________ E4.14 Divide a proper fraction by another proper fraction or a whole number

1 Work out

a 45 2÷ b 3

4 2÷ c 23 3÷ d 7

8 3÷

.......................................... .......................................... .......................................... ..........................................

To divide a fraction by a whole number, multiply by the reciprocal. For example, to divide by 2, multiply by 12

.

2 Work out

a 113 2÷ b 1 1

8 3÷ c 1 25 3÷ d 31

9 5÷

.......................................... .......................................... .......................................... ..........................................

e 3 24 5÷ f 8 4

9 5÷ g 6 37 4÷ h 9 4

10 5÷

.......................................... .......................................... .......................................... ..........................................

To divide fractions, turn the second fraction upside down and multiply. 3 Work out

a 5 26 3÷ b 84

5 9÷ c 367 4÷ d 12 21

25 20÷

.......................................... .......................................... .......................................... ..........................................

4 Work out, giving your answer in its simplest form.

a 24

5÷ 2 1

10 b

4 1

6÷ 3 1

3 c

11

8÷ 6 3

4 d

2 2

15÷ 214

25

............................... ............................... ............................... ...............................


11. 20 – 16.3 =

2. 47.9 x 100



13. What is three-sevenths of forty-two?


14. What fraction of a pound is twenty-five pence?


111 522 967 646 318

15. Find 15% of 160.


16. What is forty multiplied by ninety?

7. Which decimal is equal to ¼ ?

0.6 0.15 0.25 0.3 0.4


8. Put these in order of size, smallest first. 0.3 25% ⅓

18. What temperature is fifteen degrees lower than -7°C ?

9. What is the fraction ⁴⁄₂₀ in its simplest form?

19. Ten cakes cost £3.50. How much do three cakes cost?

10. Which fraction is equal to ⅚?

⁸⁄₂₂ ²⁵⁄₃₀ ⁵⁄₁₅

20. In a group of 45 children, there are four times as many boys as girls. How many girls are there?

Hand-in date: _________________ E4.15 Use algebraic methods to solve linear equations in one variable, for equations in the forms 𝒙𝒙 + 𝒂𝒂 = 𝒃𝒃, 𝒏𝒏𝒙𝒙 = 𝒃𝒃 and 𝒏𝒏𝒙𝒙 ± 𝒂𝒂 = 𝒃𝒃, where n can be a fraction. Solve

1 2a = 12

.....................................

.....................................

.....................................

..................................... 5 2c = 9

.....................................

.....................................

.....................................

..................................... 9 5g − 3 = 7

.....................................

.....................................

.....................................

..................................... 13 7 + 2e = 4

.....................................

.....................................

.....................................

.....................................

17 4.6 = 1.2x – 5

.....................................

.....................................

.....................................

.....................................

2 24 = 3b

.....................................

.....................................

.....................................

..................................... 6 11 = 4d

.....................................

.....................................

.....................................

.....................................

10 32 = 7h – 3

.....................................

.....................................

.....................................

.....................................

14 12 = 11 – 3f

.....................................

.....................................

.....................................

.....................................

18 5.4 = 9.1 + 10y

.....................................

.....................................

.....................................

.....................................

3 x + 6 = 11

.....................................

.....................................

.....................................

..................................... 7 2e + 5 = 13

.....................................

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11 3 + 2k = 7

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15 9 = 2g – 5

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19 8 + 23 w = 4

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4 9 = y – 2

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..................................... 8 17 = 3f + 5

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..................................... 12 1 = 9 – 4m

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..................................... 16 20 = 7 + 5h

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..................................... 20 1.3 = 2.1 − 45 z

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11. Calculate 10.5 – 4.7

2. 0.056 x 10



13. What is three-sevenths of sixty-three?


14. What fraction of a pound is eighty pence?


102 502 968 646 882

15. What is 45% of three hundred?


16. What is forty multiplied by seventy?

7. Which decimal is equal to ⁶⁄₂₀ ?

0.6 0.15 0.2 0.3 0.4


8. Put these in order of size, smallest first. 0.9 85% ⅘

18. What temperature is twelve degrees lower than -3°C ?

9. What is the fraction ²⁄₂₀ in its simplest form?

19. Six cakes cost £6.30. How much do five cakes cost?


⁴⁄₁₄ ⁶⁄₉ ⁵⁄₁₅


Hand-in date: _________________ E4.16 For non-grouped data given in the form of a table, find the mean, median, mode and range.

1 The frequency table shows the number of siblings the members of a school class have.

Number of siblings 0 1 2 3 4 5

Frequency 4 8 7 4 3 2

a Write down the mode. .......................................................................................................................................................................................................

b Work out the median number of siblings. ........................................................................................................................................................

c Work out the mean number of siblings. ..............................................................................................................................................................

d Work out the range. ..............................................................................................................................................................

Two more people join the class. They have 1 and 4 siblings respectively. d Write down what effect this will have on: i the mode

........................................................................................................................................................................................................................

ii the median ..................................................................................................................................................................................................................

iii the mean. ......................................................................................................................................................................................................................

2 The frequency table shows the actual weekly wages of 40 factory employees.

Weekly wage (£s) 240 250 300 500 600 800

Frequency 11 6 7 2 6 8

a Write down the mode.

....................................................................................................................................................................................................................................................... b Work out the median weekly wage.

......................................................................................................................................................................................................................................................... c Work out the mean weekly wage.

.........................................................................................................................................................................................................................................................

d Work out the range.

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1. 20 + = 100 ÷ 4

10. In a sale, there is 50% off all prices. A chair costs £45 in the sale. How much was it before the sale?

2. ( 5 x 6 ) + ( 4 x 2 ) =

3. Divide forty-eight by eight.

11. What is the mean of these numbers?

6 , 7 , 11

4. What number is half-way between twenty-four and forty?

5. The coordinates of a square are;

(2,1), (6,1), (2,5) and (?,?)

12. Six times a number is three thousand. What is the number?

6. Calculate ten minus four point three five.

7. What is two-thirds of sixty-six?

13. Two angles in a triangle add up to 125 degrees.

What is the size of the third angle?

8. What is twenty-five multiplied by two hundred?

9. What temperature is twenty degrees lower than 6°C?

14. A rectangle measures twelve centimetres by four centimetres. What is its area?

maths homework booklet e4 - turton school

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