1. sam had two thousand and forty three . · pdf filesam had two thousand and forty three...

IV

1. Sam had two thousand and forty three pounds.

Pat had five pounds and six pence.

Write down, in figures, how much money Sam and Pat each had.

Sam £ …………………

Pat £ ………………… (Total 2 marks)

2. (a) Write down the fraction of this shape that is shaded.

Write your fraction in its simplest form.

………………………. (2)

(b) Shade 4

3 of this shape.

(1)

(Total 3 marks)

IV

3. Maggie buys

121 kg of carrots at 64p per kg,

4 cakes at 35p each,

6 tins of soup at 43p each.

She pays with a £10 note.

Work out how much change she should get.

£ ……………….. (Total 4 marks)

4. Here is a list of seven numbers

6 8 9 12 14 20 23

From the list, write down

(a) a square number,

…………………… (1)

(b) a number that is a multiple of 7,

…………………… (1)

(c) two numbers that are factors of 40,

………..………….. (1)

(d) two numbers with a difference of 9.

………...…………. (1)

(Total 4 marks)

IV

5. The chart below shows the distances, in miles, between pairs of cities by the fastest route. For

example, the distance between Cardiff and Edinburgh is 400 miles by the fastest route.

London

155 Cardiff

212 245 York

413 400 193 Edinburgh

(a) Write down the distance between London and York by the fastest route.

…………….. miles (1)

Kate drove from London to Cardiff by the fastest route and then she drove from Cardiff to

Edinburgh by the fastest route. Scott drove directly from London to Edinburgh by the fastest

route.

(b) Work out how many more miles Kate travelled than Scott.

……………….. miles (3)

(Total 4 marks)

6. The table shows temperatures at midnight and midday on one day in five cities.

City Midnight

temperature

Midday

temperature

Belfast −1 °C 5 °C

Cardiff −2 °C 3 °C

London −8 °C −1 °C

Manchester −3 °C 1 °C

York −6 °C 4 °C

(a) Which city had the lowest midnight temperature?

……………………………. (1)

(b) At midnight, how many degrees higher was the temperature in Cardiff than York?

IV

…………..°C (1)

IV

(c) Which city had the smallest rise in temperature from midnight to midday?

……………………………. (1)

(d) Which city had the greatest rise in temperature from midnight to midday?

……………………………. (1)

(Total 4 marks)

7. (a) Work out the value of 2 + 100 .

………………….. (1)

(b) Write these numbers in order of size.

Start with the smallest number.

(i) 0.39, 0.4, 0.049, 0.49, 0.409.

………………………………………..

(ii) 4, 3, 1, 5, 7.

………………………………………….. (2)

(c) Find the cube of 5.

…………………. (1)

(Total 4 marks)

8.

20 30 40 50

(a) Write down the number marked with an arrow.

................................. (1)

IV

2 3 4 5

(b) Write down the number marked with an arrow.

................................. (1)

200 300 400 500

(c) Find the number 430 on the number line.

Mark it with an arrow ( ↑ ). (1)

2 3 4 5

(d) Find the number 3.7 on the number line.

Mark it with an arrow ( ↑ ). (1)

(Total 4 marks)

9. Natasha had one pound sixty pence.

Her friend, Kelly, had two pounds five pence.

Write down, in figures, how much money Kelly and Natasha each had.

Natasha £.......................

Kelly £....................... (Total 2 marks)

10. (a) Write down the fraction of this shape that is shaded.

IV


................................. (2)

(b) Shade 3

2 of this shape.

(1)

(Total 3 marks)

11. Write these numbers in order of size.


(i) 75, 56, 37, 9, 59

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

(ii) 0.56, 0.067, 0.6, 0.65, 0.605

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

IV

(iii) 5, – 6, – 10, 2, – 4

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

(iv) 2

1,

3

2,

5

2,

4

3

........................................................................................... (Total 5 marks)

12.

812

4

165

6

3

27

Using only the numbers in the cloud, write down

(i) all the multiples of 6, …………………………….

(ii) all the square numbers, …………………………….

(iii) all the factors of 12, …………………………….

(iv) all the cube numbers. ……………………………. (Total 4 marks)

IV

13. Tanya goes shopping.

She buys

2

1kg of apples at 72p per kg,

4 bananas at 24p each,

5 kg of potatoes at 25p per kg.

She pays with a £5 note.

Work out how much change she should get.

£ ............................. (Total 4 marks)

14. Here is a map of the British Isles.

The temperatures in some places, one night last winter are shown on the map.

IV

(a) (i) Write down the names of the two places that had the biggest difference in

temperature.

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

(ii) Work out the difference in temperature between these two places.

............................°C (3)

(b) Two pairs of places have a difference in temperature of 2 °C.

Write down the names of these places.

(i) ................................................ and ................................................

(ii) ................................................ and ................................................ (2)

(Total 5 marks)

15. Fatima bought 48 teddy bears at £9.55 each.

IV

(a) Work out the total amount she paid.

£ ............................. (3)

Fatima sold all the teddy bears for a total of £696.

She sold each teddy bear for the same price.

(b) Work out the price at which Fatima sold each teddy bear.

£ ............................. (Total 6 marks)

16. Ken had one thousand and twenty pounds.

Lisa had eight pounds and six pence.

Write down, in figures, how much money Ken and Lisa each had.

Ken £ ...............................

Lisa £ ............................... (Total 2 marks)

IV

17.

(a) (i) What fraction of this shape is shaded? Write your fraction in its simplest form.

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

(ii) Shade 4

1of this shape.

(3)

9 is the number that is half way between 6 and 12

6 .........9........ 12

(b) Work out the number that is half way between

(i) 20 ........................ 60

(ii) 100 000 ........................ 200 000

(iii) 6.5 ........................ 6.6

(iv) 4

1 ........................

2

1

(4)

(c) Find the point on the line AB that is exactly 3

1of the way along the line from A.

Mark this point with a cross (×).

A B (1)

(Total 8 marks)

IV

18. Nick takes 26 boxes out of his van.

The weight of each box is 32.9 kg.

(a) Work out the total weight of the 26 boxes.

....................... kg (3)

Then Nick fills the van with large wooden crates.

The weight of each crate is 69 kg.

The greatest weight the van can hold is 990 kg.

(b) Work out the greatest number of crates that the van can hold.

.......................... (4)

(Total 7 marks)

IV

19. Sally wrote down the temperature at different times on 1st January 2003.

Time Temperature

midnight – 6 °C

4 am –10 °C

8 am – 4 °C

noon 7 °C

3 pm 6 °C

7 pm –2 °C

(a) Write down

(i) the highest temperature,

.......................°C

(ii) the lowest temperature. (2)

(b) Work out the difference in the temperature between

(i) 4 am and 8 am,

.......................°C

(ii) 3 pm and 7 pm.

.......................°C (2)

At 11 pm that day the temperature had fallen by 5 °C from its value at 7 pm.

(c) Work out the temperature at 11 pm.

.......................°C (1)

(Total 5 marks)

IV

20. Here is a list of eight numbers.

5 6 12 20 25 26 28 33

(a) From the list, write down

(i) a square number,

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

(ii) a number that is a multiple of 7,

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

(iii) two numbers that are factors of 40,

............ and ............

(iv) two numbers with a sum of 59.

............ and ............ (4)

(b) Tony says that “6 is a cube number because 23 = 6”.

Tony is wrong. Explain why.

........................................................................................................................................... (1)

(Total 5 marks)

21. (a) Simplify y + y

.......................... (1)

(b) Simplify p2 + p

2 + p

2

.......................... (1)

(c) Factorise x2 – 3x

.......................... (2)

(Total 4 marks)

22. (a) Write the number seventeen thousand, two hundred and fifty-two in figures.

…………………….. (1)

IV

(b) Write the number 5367 correct to the nearest hundred.

…………………….. (1)

(c) Write down the value of the 4 in the number 274 863

…………………….. (1)

(Total 3 marks)

23. Work out 286 × 43

…………………….. (Total 3 marks)

24. Here is a list of 8 numbers.

II I6 I8 36 68 69 82 88

(a) Write down two numbers from the list with a sum of 87

…………… , …………… (1)

(b) Write down a number from the list which is

(i) a multiple of 9,

……………………..

(ii) a square number.

…………………….. (2)

IV

-

cube multiple factor product

(c) Use a word from the box to complete this sentence correctly.

11 is a …………..…………… of 88 (1)

Here are the same 8 numbers drawn larger.

II I6 I8 36

68 69 82 88

(d) From these numbers, write down a number which has

(i) exactly one line of symmetry,

……………………..

(ii) 2 lines of symmetry and rotational symmetry of order 2,

……………………..

(iii) rotational symmetry of order 2 but no lines of symmetry.

…………………….. (3)

(Total 7 marks)

25.

Cat facts

40% of people named cats as their

favourite pet.

98% of women said they would rather

go out with someone who liked cats.

About 2

17 million families have a cat.

4

1 of cat owners keep a cat because cats

are easy to look after.

IV

(a) Write 40% as a fraction.

Give your fraction in its simplest form.

…………………….. (2)

(b) Write 98% as a decimal.

…………………….. (1)

(c) Write 7 2

1 million in figures.

…………………….. (1)

(d) Write 4

1 as a percentage.

……………………% (1)

(e) What percentage of people did not name cats as their favourite pet?

……………………% (1)

(Total 6 marks)



(a) 76, 103, 13, 130, 67

……………………………………………………… (1)

(b) –3, 5, 0, –7, –1

IV

……………………………………………………… (1)

(c) 0.72, 0.7, 0.072, 0.07, 0.702

……………………………………………………… (1)

(d) 70%, 4

3 , 0.6,

3

2

……………………………………………………… (2)

(Total 5 marks)

27. Jade made a train journey.

Her train should have arrived at 14 40

It arrived 1 hour 50 minutes late.

(a) At what time did her train arrive?

…………………….. (1)

IV

The railway company gave Jade some money back, because her train was late.

The company used this rule to work out the amount of money.

Find 4

1 of the ticket price

Then round up this answer to the next whole

number of pounds

Jade’s ticket price was £33.56

(b) (i) Work out 4

1 of £33.56

£……………………

(ii) Round up your answer to part (i) to the next whole number of pounds.

£…………………… (3)

(Total 4 marks)

28. Work out 60 × 3

2

…………………….. (2)

(Total 2 marks)

IV

29. 25 = 52 can be read as 25 is the square of 5.

Fill in the missing words in each of the sentences below.

(i) 8 = 64 can be read as 8 is the ……………………. of 64.

(ii) 8 = 23 can be read as 8 is the ………………….. of 2.

(Total 2 marks)

30. (a) Write down the next two terms in this number sequence:

2, 12, 22, 32, …...., ……. (1)

(b) Work out 2305 × 6

.............................. (1)

(c) Work out 22 × 5

2

.............................. (2)

(Total 4 marks)

31. (a) Simplify a × a × a × a × a …………. (1)

(b) Solve the equation x – 3 = 8 x = ………….. (1)

(c) Solve the equation 7x + 2 = 3x – 2 x = …………. (3)

(Total 5 marks)

IV

32. (a) Write these numbers in order of size.


(i) 0.39, 0.4, 0.049, 0.49, 0.409.

………………………………………..

(ii) 4, 3, 1, 5, 7.

………………………………………….. (2)

(b) Find the cube of 5.

…………………. (1)

(c) Find the value of 410 .

…………………. (1)

(Total 4 marks)

33. The chart shows the shortest distances, in kilometres, between pairs of cities.

For example, the shortest distance between London and Manchester is 300 km.

London

196 Nottingham

300 101 Manchester

325 158 56 Liverpool

639 446 346 348 Glasgow

(a) Write down the shortest distance between Nottingham and Liverpool.

…………………………… km (1)

Daniel drives from London to Manchester by the shortest route.

He has driven 137 km.

(b) Work out how many more kilometres he must drive.

…………………………… km (2)

IV

(c) Write down the names of the two cities which are the least distance apart.

…………………………… and …………………………… (1)

(Total 4 marks)

34. Here are some fractions.

8

2

10

3

16

4

20

5

24

8

Two of the fractions are not equivalent to 4

1.

Tick the boxes underneath each of these two fractions. (Total 2 marks)

35. (a) Write 0.45 as a percentage.

……………………………% (1)

(b) Write 4

3 as a percentage.

……………………………% (1)

(c) Write 30% as a fraction in its simplest form.

…………………………… (2)

(Total 4 marks)

36. Write down the value of

(i) 23

……………………………

(ii) 81

…………………………… (Total 2 marks)

37. Here is a recipe for making 10 chocolate chip cookies.

IV

Chocolate Chip Cookies Makes 10 cookies.

100 g of flour

60 g of sugar

50 g of margarine

40 g of chocolate chips

2 eggs

Work out the amounts needed to make 15 chocolate chip cookies.

…………… g of flour

…………… g of sugar

…………… g of margarine

…………… g of chocolate chips

…………… eggs (Total 3 marks)

38.

(a) What fraction of the shape is shaded?

Give your answer in its simplest form.

…………………………… (1)

(b) What percentage of the shape is not shaded?

…………………………% (2)

(Total 3 marks)

IV

39. The table shows the temperature in each of 6 cities on 1st January 2003.

City Temperature

Cairo 15 C

Copenhagen 1 C

Helsinki 9 C

Manchester 3 C

Moscow 14 C

Sydney 20 C

(a) Write down the name of the city which had the lowest temperature.

…………………………… (1)

(b) Work out the difference in temperature between Copenhagen and Cairo.

…………………………C (1)

On 2nd January 2003, the temperature in Moscow had increased by 4 C.

(c) Work out the new temperature in Moscow.

…………………………C (1)

(Total 3 marks)

40. (a) Work out

41.3 × 100

………………………… (1)

(b) Work out

0.4 × 0.6

………………………… (1)

(c) Work out

5.2 1.37

………………………… (1)

(Total 3 marks)

IV

41. 2, 8, 12, 15, 21, 24, 36, 43

Write down a number from the list that is


………………………….

(ii) a cube number.

…………………………. (Total 2 marks)

42. (a) Write 5

1 as a percentage.

…………………………… % (1)

(b) Write 0.7 as a percentage.

………………………… % (1)

(Total 2 marks)

43. Anil sold his car for £600.

He put £250 of the £600 in a bank account.

Write £250 as a fraction of £600.

Give your answer as a fraction in its simplest form.

…………………………… (Total 2 marks)

IV

44. Complete this table

Write a sensible unit for each measurement.

Metric Imperial

The weight of a turkey .........................

pounds

The width of this page centimetres .........................

(Total 2 marks)

45. Here is a map of the British Isles.

The temperatures in some places, one night last winter are shown on the map.

(i) Write down the names of the two places that had the biggest difference in temperature.

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

(ii) Work out the difference in temperature between these two places.

............................°C (Total 3 marks)

IV

46. Fatima bought 48 teddy bears at £9.55 each.

Work out the total amount she paid.

£ ............................. (Total 3 marks)

47. Estimate the value of

6.97

19.8 813

................................. (Total 2 marks)

IV

48. This table shows the heights, in metres, of six mountains.

Mountain Height in metres

Lhotse 1 8516

Kanchenjunga 8586

Makalu 1 8463

Everest 8850

Dhanlagiti 8172

K2 8611

Write the heights in order of size.

Start with the least height.

................ ................ ................ ................ ................ ................ (Total 2 marks)

49. Miriam gave her mother two £5 notes.

Miriam said, “This is 41 of my day’s pay.”

Work out Miriam’s pay that day.

£ ……………….. (Total 2 marks)

IV

50. A school buys 34 books.

Each book costs £5.21

Work out the total cost of the 34 books.

£ …………………. (Total 3 marks)

51. 2 8 15 17 25 35

Write down a number from this list that is


…………………

(ii) a cube number.

………………… (Total 2 marks)

52. (a) Write 4

1 as a percentage.

…………………% (1)

(b) Write 0.23 as a percentage.

…………………% (1)

(c) Write 42% as a fraction.


………………… (2)

(Total 4 marks)

IV

53. Work out the value of 33 × 10

2

……………….. (Total 2 marks)

54.

1211 1

10 2

9 3

8 4

7 56

(a) Write down the time shown on the clock.

…………….. (1)

0 10 20 30 40 50

(b) Write down the reading shown by the arrow ().

………………….. (1)

(Total 2 marks)

55. (a) Write three hundred and fifty thousand in figures.

……………. (1)

IV

(b) (i) Write 25 400 in words.

…………………………………………………………………………………...

(ii) Write down the value of the 5 in 25 400.

…………………. (2)

(c) (i) Write 25 730 correct to the nearest thousand.

………………….

(ii) Write 25 730 correct to the nearest hundred.

…………………. (2)

(Total 5 marks)

56. In a shop the normal price of a jacket is £60

The cost of the jacket in a sale is 4

3 of the normal price.

(a) Work out 4

3 of £60

£………….. (2)

IV

Darren has to travel 8

1 mile to the shop.

(b) Write 8

1 as a decimal.

……………… (2)

(Total 4 marks)


………………… % (1)

(b) Write 10

3 as a percentage.

………………… % (1)

(Total 2 marks)

58. (a) Work out the value of

(i) 42

...……………

(ii) 23

…...…………… (2)

(b) Write as a power of 10

IV

10 × 10 × 10 × 10 × 10

…..…………… (1)

(Total 3 marks)

59. There are 30 students in a class.

20 of these students are female.

Find the fraction of the class that is female.


……………….. (Total 2 marks)

60. Explain why 90 is less than 10.

…………………………………………………………………………………………….

…………………………………………………………………………………………….

…………………………………………………………………………………………….

……………………………………………………………………………………………. (Total 1 mark)

IV

61.

(a) (i) What fraction of this shape is shaded?


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

(ii) Shade 4

1of this shape.

(3)

9 is the number that is half way between 6 and 12.

6 ..........9....... 12

(b) Work out the number that is half way between

(i) 20 ....................... 60

(ii) 100 000 ....................... 200 000

(iii) 6.5 ....................... 6.6

(iv) 4

1 .......................

2

1

(4)

(Total 7 marks)

IV

62. Nick fills his van with large wooden crates.

The weight of each crate is 69 kg.

The greatest weight the van can hold is 990 kg.

Work out the greatest number of crates that the van can hold.

.......................... (Total 4 marks)

63. Here is a list of numbers.

17 24 25 26 35 43 44

From the numbers in the list, write down

(i) the odd number that is larger than 40,

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

(ii) the number that is a multiple of 7,

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

(iii) two numbers that have a difference of 20,

............., .............

(iv) the number that has the same value as 2 + 3 × 5

.......................... (Total 4 marks)

IV

64. Work out

7.6 – 4.83

.......................... (Total 1 mark)

65. 8

5

2

1

4

3

Write these fractions in order of size.

Start with the smallest fraction.

.............................................................................. (Total 2 marks)

66.

7

10

8 30

84

25

(a) From the numbers shown, write down


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

(ii) a cube number.

............................. (2)

(b) Write down the value of 49

............................. (1)

(Total 3 marks)

IV

67. The Maldives is a country made up of 2000 islands.

People live on only 220 of these islands.

Write 220 as a fraction of 2000


............................. (Total 2 marks)

68. Jessica’s annual income is £12 000

She pays 10% of the £12 000 in rent.

She spends 4

1 of the £12 000 on clothes.

Work out how much of the £12 000 Jessica has left.

£ ................................... (Total 3 marks)

IV

69.

(i) Write down the reading shown on the scale.

.......................... kg

(ii) Change 5.7 kg to grams.

.......................... g (Total 2 marks)

70. Here is part of a railway timetable.

Letchworth 11 30 11 55 – – 12 30 12 55

Hitchin 11 34 11 59 12 04 12 29 12 34 12 59

Stevenage 11 39 12 04 12 09 12 34 12 39 13 04

Hatfield 11 53 – 12 23 – 12 53 –

Potters Bar 11 59 – 12 29 – 12 59 –

London 12 17 12 30 12 48 13 05 13 17 13 31

A train leaves Letchworth at 11 55

(a) At what time should this train arrive in London?

.......................... (1)

IV

Another train leaves Letchworth at 12 55

(b) Work out how many minutes it should take this train to get to London.

............... minutes (1)

Jerry is going to London.

He will catch the train in Hatfield.

Jerry needs to arrive in London before 13 00

(c) Write down the time of the latest train he can catch from Hatfield.

.......................... (1)

(Total 3 marks)

71. (a) What fraction of this shape is shaded?

.......................... (1)

(b) Shade 8

5 of this shape.

(1)

IV

(c) What percentage of this shape is shaded?

.......................... % (1)

(Total 3 marks)

72.

Mr Snow stayed some time at the South Pole.

The highest temperature there was –30 °C.

The lowest temperature there was –57 °C.

(a) Work out the difference between the highest temperature and the lowest temperature at

the South Pole.

.......................... °C (1)

IV

Mr Snow returned to his house in London.

The temperature outside his house was –2 °C.

The temperature inside his house was 12 °C higher.

(b) Work out the temperature inside his house.

.......................... °C (1)

(Total 2 marks)


.............................. % (1)

(b) Write 4

1 as a percentage.

.............................. % (1)

(c) Write 19% as a fraction.

................................. (1)

(d) Write 40 as a fraction of 140


.............................. (2)

(Total 5 marks)

IV

74. Find the value of

(i) the square root of 36

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

(ii) 5 × 102

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

(iii) 23

............................. (Total 3 marks)

75. This is a recipe for making Spaghetti Carbonara for 4 people.

Spaghetti Carbonara

Ingredients for 4 people

400 g of spaghetti

120 g of bacon

2 tablespoons of oil

4 eggs

50 g of cheese

Bill is making Spaghetti Carbonara for 6 people.

Work out the amount he needs.

........................ g of spaghetti

........................ g of bacon

........................ tablespoons of oil

........................ eggs

........................ g of cheese (Total 3 marks)

IV



(a) 76, 103, 13, 130, 67

……………………………………………………… (1)

(b) –3, 5, 0, –7, –1

……………………………………………………… (1)

(c) 70%, 4

3, 0.6,

3

2

……………………………………………………… (2)

(Total 4 marks)

77.

Cat facts

40% of people named cats as their

favourite pet.

98% of women said they would rather

go out with someone who liked cats.

About 2

17 million families have a cat.

4

1 of cat owners keep a cat because cats

are easy to look after.

(a) Write 40% as a fraction.


………..…. (2)

(b) Write 72

1 million in figures.

IV

…………………………….. (1)

(c) What percentage of people did not name cats as their favourite pet?

…………... % (1)

(Total 4 marks)

78. (a) Work out 60 × 3

2

………….. (2)

(b) Work out the value of 5t2 – 7 when t = 3

………….. (2)

(c) Simplify 4p × 2q

…………. (1)

(Total 5 marks)

1. sam had two thousand and forty three . · pdf filesam had two thousand and forty three...

Documents