1. S3 General Mixed Homeworks 19 ------ More Area and Volume 20 ------ Bearings and Direction 21 ------ More Brackets and Equations 22 ----- Similar Shapes 23 ----- Fractions and Percentages 24 ----- More Trigonometry 25 ----- The Circle 26 ----- Money: Wages and Salaries 27 ----- The Straight Line 28 ----- Formulae 29 ----- Symmetry 30 ------ Ratio 31 ------ Pairs of Straight Lines 32 ------ 3D Shape

2. General Maths Mixed Homework Exercise 19 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. 9 cm 3 cm 5 cm 6)Find the volume and surface area of this triangular prism. 6 cm 4 cm 5 cm 20 cm 3)Convert to metres, a) 0·045 kmb) 0·3 mm 4) Find the value of p in this number line. 56 80 p 5) Expand and simplify, a) 5 ( p + 3 ) – 2p - 6 b) 6 ( a + 7 ) – 5a - 17 General Maths Mixed Homework Exercise 19 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. 9 cm 3 cm 5 cm 6)Find the volume and surface area of this triangular prism. 6 cm 4 cm 5 cm 20 cm 3)Convert to metres, a) 0·045 kmb) 0·3 mm 4) Find the value of p in this number line. 56 80 p 5) Expand and simplify, a) 5 ( p + 3 ) – 2p - 6 b) 6 ( a + 7 ) – 5a - 17

3. General Maths Mixed Homework Exercise 20 2) 1) 14 cm 27 cm a) Find the curved surface area of this cylinder. b) Find the total surface area of this cylinder. Find the volume of this prism. 6 cm 9 cm 5 cm 30 cm 3) Find the length of the side marked j cm. j cm 7·3 cm 56 o 4) The mass of 56 identical bricks is 144·48 kg. Find the mass of 39 of these bricks. 5)a) A boat is on a bearing of 56 o and 25 km from the harbour. Copy and complete this diagram. Use the scale 1 cm = 5 km. N H b) A yacht is on a bearing of 126 o and 40 km from the boat. Show this on your diagram. General Maths Mixed Homework Exercise 20 2) 1) 14 cm 27 cm a) Find the curved surface area of this cylinder. b) Find the total surface area of this cylinder. Find the volume of this prism. 6 cm 9 cm 5 cm 30 cm 3) Find the length of the side marked j cm. j cm 7·3 cm 56 o 4) The mass of 56 identical bricks is 144·48 kg. Find the mass of 39 of these bricks. 5)a) A boat is on a bearing of 56 o and 25 km from the harbour. Copy and complete this diagram. Use the scale 1 cm = 5 km. N H b) A yacht is on a bearing of 126 o and 40 km from the boat. Show this on your diagram.

4. General Maths Mixed Homework Exercise 21 1) Evaluate, a) 4 3 + 2 4 b) 3 5 - 4 3 2)A van leaves at 6:55pm and arrives at its destination at 10:10pm. During this time the van has travelled 208 km. Find the average speed of the van for this journey. 3) In this question, you can choose x from the numbers { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,10 }. Solve, a) x < 3 b) x ≥ 8c) 3 x + 1 ≥ 22 4) In this question, you can choose x from the numbers { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,10 }. Solve, a) x ≤ 4 b) 2 x + 3 > 17c) 5 x + 3 ≥ x + 19 5)Copy and complete this electricity bill. Householder: J Brownlie Period: 01/02/07 - 01/03/07 Present Reading Previous Reading Units used UNITSCHARGES units @ 172p/unit + VAT (8%) Amount due 09043 08386 6)Find the mean, median, range and mode for this data set. 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 year period with a 10% deposit. Find the cost of each monthly instalment. General Maths Mixed Homework Exercise 21 1) Evaluate, a) 4 3 + 2 4 b) 3 5 - 4 3 2)A van leaves at 6:55pm and arrives at its destination at 10:10pm. During this time the van has travelled 208 km. Find the average speed of the van for this journey. 3) In this question, you can choose x from the numbers { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,10 }. Solve, a) x < 3 b) x ≥ 8c) 3 x + 1 ≥ 22 4) In this question, you can choose x from the numbers { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,10 }. Solve, a) x ≤ 4 b) 2 x + 3 > 17c) 5 x + 3 ≥ x + 19 5)Copy and complete this electricity bill. Householder: J Brownlie Period: 01/02/07 - 01/03/07 Present Reading Previous Reading Units used UNITSCHARGES units @ 172p/unit + VAT (8%) Amount due 09043 08386 6)Find the mean, median, range and mode for this data set. 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 year period with a 10% deposit. Find the cost of each monthly instalment.

5. General Maths Mixed Homework Exercise 22 1) 2) Find the length of the unknown side in each of these right angled triangles. 6 m 8 m x m a)b) 12 cm 5 cm x cm These are similar rectangles. Find the length of the side marked k cm. 10 cm 15 cm 12 cm k cm 3)Mr Harris bought a bicycle for £60. He repaired and and then sold it for £84. 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? 5) You invest £600 in a bank account which offers 34% interest pa. How much will you have in your bank account after seven months? 6) Expand and simplify. 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. 6 m 8 m x m a)b) 12 cm 5 cm x cm These are similar rectangles. Find the length of the side marked k cm. 10 cm 15 cm 12 cm k cm 3)Mr Harris bought a bicycle for £60. He repaired and and then sold it for £84. a) Calculate his profit. b) Calculate his percentage profit. 5) You invest £600 in a bank account which offers 34% interest pa. How much will you have in your bank account after seven months? 6) Expand and simplify. 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?

6. General Maths Mixed Homework Exercise 23 1) These are similar triangles. Find x. 3 cm 9 cm 6 cm x cm 2) Evaluate. a) b) c) d) 2 7 of 126 3 5 of 850 1 2 of 128 1 8 of 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 4) A monthly train ticket costs £125. Fares increase by 10%. What is the new cost of the monthly train ticket? 5) Find, a) 1 4 + 1 3 b) 5 8 - 1 2 6) Find, 1 2 a) 7 + 3 4 4 1 4 b) 9 - 1 2 2 7) Find, a) 1 4 x 2 3 b) 5 8 - 6 7 General Maths Mixed Homework Exercise 23 1) These are similar triangles. Find x. 3 cm 9 cm 6 cm x cm 2) Evaluate. a) b) c) d) 2 7 of 126 3 5 of 850 1 2 of 128 1 8 of 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 4) A monthly train ticket costs £125. Fares increase by 10%. What is the new cost of the monthly train ticket? 5) Find, a) 1 4 + 1 3 b) 5 8 - 1 2 6) Find, 1 2 a) 7 + 3 4 4 1 4 b) 9 - 1 2 2 7) Find, a) 1 4 x 2 3 b) 5 8 - 6 7

7. General Maths Mixed Homework Exercise 24 More TRIG

8. General Maths Mixed Homework Exercise 25 CIRCLE

9. General Maths Mixed Homework Exercise 25 MONEY, WAGES AND SALARIES