S3 General Mixed Homeworks

19 ------ More Area and Volume 20 ------ Bearings and Direction21 ------ More Brackets and Equations22 ----- Similar Shapes23 ----- Fractions and Percentages24 ----- More Trigonometry25 ----- The Circle 26 ----- Money: Wages and Salaries27 ----- The Straight Line28 ----- Formulae29 ----- Symmetry30 ------ Ratio31 ------ Pairs of Straight Lines32 ------ 3D Shape

General Maths Mixed Homework Exercise 19

C=/ *789–

456+

123

0 . =

2) It takes a team of six workers 8 hours to paint a wall.How long would this job take if there were only 4 workers ?

1) Find the surface area of this cuboid.C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

9 cm3 cm

5 cm

6) Find the volume and surface area of this triangular prism.C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

6 cm

4 cm

5 cm

20 cm

3) Convert to metres,C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

a) 0·045 km b) 0·3 mm

4) Find the value of p in this number line.

56 80

p

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

5) Expand and simplify,C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =a) 5 ( p + 3 ) – 2p - 6 b) 6 ( a + 7 ) – 5a - 17

General Maths Mixed Homework Exercise 19

C=/ *789–

456+

123

0 . =

2) It takes a team of six workers 8 hours to paint a wall.How long would this job take if there were only 4 workers ?

1) Find the surface area of this cuboid.C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

9 cm3 cm

5 cm

6) Find the volume and surface area of this triangular prism.C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

6 cm

4 cm

5 cm

20 cm

3) Convert to metres,C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

a) 0·045 km b) 0·3 mm

4) Find the value of p in this number line.

56 80

p

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

5) Expand and simplify,C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =a) 5 ( p + 3 ) – 2p - 6 b) 6 ( a + 7 ) – 5a - 17

General Maths Mixed Homework Exercise 20

2)

1)

14 cm

27 cm

C=/ *789–

456+

123

0 . =

a) Find the curved surface area of this cylinder.

b) Find the total surface area of this cylinder.

Find the volume of this prism.C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

6 cm

9 cm

5 cm

30 cm

3) Find the length of the side marked j cm. C=/ *789–

456+

123

0 . =

j cm

7·3 cm 56o

4) The mass of 56 identical bricks is 144·48 kg. Find the mass of 39 of these bricks.

C=/ *789–

456+

123

0 . =

5)a)A boat is on a bearing of 56o and 25 km from the harbour.Copy and complete this diagram.Use the scale 1 cm = 5 km.

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

N

H

b)A yacht is on a bearing of 126o and 40 km from the boat.Show this on your diagram.

General Maths Mixed Homework Exercise 20

2)

1)

14 cm

27 cm

C=/ *789–

456+

123

0 . =

a) Find the curved surface area of this cylinder.

b) Find the total surface area of this cylinder.

Find the volume of this prism.C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

6 cm

9 cm

5 cm

30 cm

3) Find the length of the side marked j cm. C=/ *789–

456+

123

0 . =

j cm

7·3 cm 56o

4) The mass of 56 identical bricks is 144·48 kg. Find the mass of 39 of these bricks.

C=/ *789–

456+

123

0 . =

5)a)A boat is on a bearing of 56o and 25 km from the harbour.Copy and complete this diagram.Use the scale 1 cm = 5 km.

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

N

H

b)A yacht is on a bearing of 126o and 40 km from the boat.Show this on your diagram.

General Maths Mixed Homework Exercise 21

1) Evaluate,

a) 43 + 24 b) 35 - 43 C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

2) A van leaves at 6:55pm and arrives at its destinationat 10:10pm. During this time the van has travelled 208 km. Find the average speed of the van for thisjourney.

C=/ *789–

456+

123

0 . =

3) In this question , you can choose x from the numbers{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,10 } . C = / *

7 8 9 –

4 5 6 +

1 2 3

0 . =Solve,a) x < 3 b) x ≥ 8 c) 3x + 1 ≥ 22

4) In this question , you can choose x from the numbers{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,10 } .

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =Solve,a) x ≤ 4 b) 2x + 3 > 17 c) 5x + 3 ≥ x + 19

5) C=/ *789–

456+

123

0 . =

Copy and complete this electricity bill.

Householder: J Brownlie Period: 01/02/07 - 01/03/07

Present Reading

Previous Reading

Units used

UNITS CHARGES

units @ 17•2p/unit

+ VAT (8%)

Amount due

09043

08386

6) Find the mean, median, range and mode for this data set.C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =73 78 73 69 75 76

7) A new plasma screen TV is available to buy for £540. The store offers 0% finance over a two yearperiod with a 10% deposit.Find the cost of each monthly instalment.

C=/ *789–

456+

123

0 . =

General Maths Mixed Homework Exercise 21

1) Evaluate,

a) 43 + 24 b) 35 - 43 C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

2) A van leaves at 6:55pm and arrives at its destinationat 10:10pm. During this time the van has travelled 208 km. Find the average speed of the van for thisjourney.

C=/ *789–

456+

123

0 . =

3) In this question , you can choose x from the numbers{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,10 } . C = / *

7 8 9 –

4 5 6 +

1 2 3

0 . =Solve,a) x < 3 b) x ≥ 8 c) 3x + 1 ≥ 22

4) In this question , you can choose x from the numbers{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,10 } .

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =Solve,a) x ≤ 4 b) 2x + 3 > 17 c) 5x + 3 ≥ x + 19

5) C=/ *789–

456+

123

0 . =

Copy and complete this electricity bill.

Householder: J Brownlie Period: 01/02/07 - 01/03/07

Present Reading

Previous Reading

Units used

UNITS CHARGES

units @ 17•2p/unit

+ VAT (8%)

Amount due

09043

08386

6) Find the mean, median, range and mode for this data set.C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =73 78 73 69 75 76

7) A new plasma screen TV is available to buy for £540. The store offers 0% finance over a two yearperiod with a 10% deposit.Find the cost of each monthly instalment.

C=/ *789–

456+

123

0 . =

General Maths Mixed Homework Exercise 22

1)

2)

Find the length of the unknown side in each of these right angled triangles.

C=/ *789–

456+

123

0 . =

6 m

8 m

x ma) b)

12 cm

5 cmx cm

These are similar rectangles. Find the length of the side marked k cm.

10 cm 15 cm

12 cmk cm

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

3) Mr Harris bought a bicycle for £60. He repaired and and then sold it for £84.

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =a) Calculate his profit.

b) Calculate his percentage profit.

4)A flight to Cape Town from London takes 11 hours.The plane travels at 520 miles per hour.How far is it from London to Cape Town?

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

5) You invest £600 in a bank account which offers 3•4% interest pa.How much will you have in your bank account after seven months?

C=/ *789–

456+

123

0 . =

6) Expand and simplify. C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

a) 3(a – 6) + 2(a + 10)

b) 7(p – 1) + 5(p + 2) + 3p

c) 40 + 8(q – 2) + 4(q – 3) + 4q

General Maths Mixed Homework Exercise 22

1)

2)

Find the length of the unknown side in each of these right angled triangles.

C=/ *789–

456+

123

0 . =

6 m

8 m

x ma) b)

12 cm

5 cmx cm

These are similar rectangles. Find the length of the side marked k cm.

10 cm 15 cm

12 cmk cm

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

3) Mr Harris bought a bicycle for £60. He repaired and and then sold it for £84.

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =a) Calculate his profit.

b) Calculate his percentage profit.

5) You invest £600 in a bank account which offers 3•4% interest pa.How much will you have in your bank account after seven months?

C=/ *789–

456+

123

0 . =

6) Expand and simplify. C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

a) 3(a – 6) + 2(a + 10)

b) 7(p – 1) + 5(p + 2) + 3p

c) 40 + 8(q – 2) + 4(q – 3) + 4q

4)A flight to Cape Town from London takes 11 hours.The plane travels at 520 miles per hour.How far is it from London to Cape Town?

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

General Maths Mixed Homework Exercise 23

1) These are similar triangles. Find x.

C=/ *789–

456+

123

0 . =

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

3 cm 9 cm

6 cmx cm

2) Evaluate.

a) b) c) d)2

7of 126

3

5of 850

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

1

2of 128

1

8of 232

3)A pair of shoes usually costs £96.

They are reduced by a in a sale.

Find the new price of the shoes.

1

3

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

4) A monthly train ticket costs £125.Fares increase by 10%.What is the new cost of the monthly train ticket?

5) Find,C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

a) 14

+ 13

b) 58

- 12

6) Find, 12

a) 7 + 34

414

b) 9 - 12

2 C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

7) Find,C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

a) 14

x 23

b) 58

- 6

7

General Maths Mixed Homework Exercise 23

1) These are similar triangles. Find x.

C=/ *789–

456+

123

0 . =

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

3 cm 9 cm

6 cmx cm

2) Evaluate.

a) b) c) d)2

7of 126

3

5of 850

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

1

2of 128

1

8of 232

3)A pair of shoes usually costs £96.

They are reduced by a in a sale.

Find the new price of the shoes.

1

3

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

4) A monthly train ticket costs £125.Fares increase by 10%.What is the new cost of the monthly train ticket?

5) Find,C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

a) 14

+ 13

b) 58

- 12

6) Find, 12

a) 7 + 34

414

b) 9 - 12

2 C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

7) Find,C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

a) 14

x 23

b) 58

- 6

7

General Maths Mixed Homework Exercise 24C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

More TRIG

General Maths Mixed Homework Exercise 25C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

CIRCLE

General Maths Mixed Homework Exercise 25C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

MONEY, WAGES AND SALARIES