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HW 1 General Revision HW 2 Percentages HW 3 Volume HW 4 Linear Relationships

HW 1 General Revision HW 2 Percentages HW 3 Volume HW 4 Linear Relationships HW 5 Algebraic Operations HW 6 Circle HW 7 All of Unit 1 HW 8 All of Unit 1 HW 9 Trigonometry HW 10 HW 11 Simultaneous Equations HW 12 Graphs, Charts and Tables HW 13 HW 14 Statistics

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HW 1 General Revision HW 2 Percentages HW 3 Volume HW 4 Linear Relationships

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  1. HW 1 General Revision HW 2 Percentages HW 3 Volume HW 4 Linear Relationships HW 5 Algebraic Operations HW 6 Circle HW 7 All of Unit 1 HW 8 All of Unit 1 HW 9 Trigonometry HW 10 HW 11 Simultaneous Equations HW 12 Graphs, Charts and Tables HW 13 HW 14 Statistics HW 15 All of Unit 1 and 2 HW 16 All of Unit 1 and 2

  2. Int 2 Maths Mixed Homework Exercise 1 Int 2 Maths Mixed Homework Exercise 1 Calculate the size of the side k. Calculate the size of the side k. 1) 1) 23 cm 23 cm k k 14o 14o 2) Calculate 2) Calculate b) 64% of 893 kg b) 64% of 893 kg a) 47% of $5672 a) 47% of $5672 3) Calculate area and circumference of this circle. Give your answers correct to 2 significant figures. 3) Calculate area and circumference of this circle. Give your answers correct to 2 significant figures. 20 cm 20 cm 4) Expand and simplify. 4) Expand and simplify. b) 9 ( k + 2 ) - 5 ( k - 4 ) b) 9 ( k + 2 ) - 5 ( k - 4 ) a) 4 ( w + 3 ) + 6 ( w - 6 ) a) 4 ( w + 3 ) + 6 ( w - 6 ) 5) Factorise. 5) Factorise. b) 6xy + 9y b) 6xy + 9y a) 4x + 20 a) 4x + 20 6) Calculate 6) Calculate b) 17.5% of £800 b) 17.5% of £800 a) 12.5% of £1016 a) 12.5% of £1016

  3. Int 2 Maths Mixed Homework Exercise 2 Int 2 Maths Mixed Homework Exercise 2 1) 1) Round the number 683 169 to Round the number 683 169 to a) 1 sig fig b) 2 sig figs c) 4 sig figs a) 1 sig fig b) 2 sig figs c) 4 sig figs 2) A house was valued at £172 000 three years ago. Since then it has appreciated by 5%, 7% and 8% in successive years. Find the actual increase in the value of the house to the nearest pound. 2) A house was valued at £172 000 three years ago. Since then it has appreciated by 5%, 7% and 8% in successive years. Find the actual increase in the value of the house to the nearest pound. 3) A man places £7800 in the bank and leaves it there for six years. If the rate offered is 7.2% p.a. then how much interest has he gained over the 6 year period? 3) A man places £7800 in the bank and leaves it there for six years. If the rate offered is 7.2% p.a. then how much interest has he gained over the 6 year period? 4) Amy received a 8% pay rise taking her annual salary to £20 520. What did she earn in a year before this pay rise ? 4) Amy received a 8% pay rise taking her annual salary to £20 520. What did she earn in a year before this pay rise ? 5) A shopkeeper buys 24 bottles of wine for £108. He sells them for £6.50 each. Express his profit as a percentage of the cost price. Give your answer correct to two decimal places. 5) A shopkeeper buys 24 bottles of wine for £108. He sells them for £6.50 each. Express his profit as a percentage of the cost price. Give your answer correct to two decimal places. 6) A flagpole is supported by two wires secured to the ground at the same point as shown in the diagram. The smaller wire is 34 m long. The longer wire is 52 m long. 6) A flagpole is supported by two wires secured to the ground at the same point as shown in the diagram. The smaller wire is 34 m long. The longer wire is 52 m long. Find the height at which the small wire is attached to the mast. Find the height at which the small wire is attached to the mast. a) a) 52 m 52 m 34 m 34 m Find the distance between the two wires when they are attached to the flag pole. Find the distance between the two wires when they are attached to the flag pole. b) b) 26 m 26 m

  4. Int 2 Maths Mixed Homework Exercise 3 Int 2 Maths Mixed Homework Exercise 3 1) A caravan was valued at £16 000 two years ago. Since then it has depreciated by 8% and 7.3% in successive years. Find the current value of the caravan. 1) A caravan was valued at £16 000 two years ago. Since then it has depreciated by 8% and 7.3% in successive years. Find the current value of the caravan. 2) Calculate 2) Calculate a) b) a) b) % of £79500 % of 4200 m % of £79500 % of 4200 m 3) Find the area and the perimeter of this shape. 3) Find the area and the perimeter of this shape. 9 cm 9 cm 5 cm 5 cm 4 cm 4 cm 4) Mr Evans’ car has depreciated in value by 11% over the last year. It is now worth £4628. What was the value of the car this time last year ? 4) Mr Evans’ car has depreciated in value by 11% over the last year. It is now worth £4628. What was the value of the car this time last year ? 5) Calculate the volume of this cylinder. Give your answer in litres. 5) Calculate the volume of this cylinder. Give your answer in litres. 50 cm 50 cm 95 cm 95 cm 6) Find the volume of this hemi - sphere to 3 sig figs. 6) Find the volume of this hemi - sphere to 3 sig figs. [ (sphere) ] [ (sphere) ] 30 cm 30 cm

  5. Int 2 Maths Mixed Homework Exercise 4 Int 2 Maths Mixed Homework Exercise 4 1) £4800 is put into a bank account and left there for 6 years. If the bank offers a rate of 2.72% p.a. How much interest has this money made during this time ? 1) £4800 is put into a bank account and left there for 6 years. If the bank offers a rate of 2.72% p.a. How much interest has this money made during this time ? 2) 2) Write down the equation of this straight line. Write down the equation of this straight line. y y 4 4 2 2 x x 0 0 -4 -2 2 4 -4 -2 2 4 -2 -2 -4 -4 Calculate the volume of this prism. Calculate the volume of this prism. 3) 3) 17 cm 17 cm 9 cm 9 cm 4 cm 4 cm 27 cm 27 cm The equation of a straight line is y = 3x - 2. Copy and complete the table and hence make a neat sketch of this line. The equation of a straight line is y = 3x - 2. Copy and complete the table and hence make a neat sketch of this line. 4) 4) x -2 -1 0 1 2 x -2 -1 0 1 2 y y You achieved 45 out of 70 in a Maths test. Express this as a percentage. Give you answer correct to 3 significant figures. You achieved 45 out of 70 in a Maths test. Express this as a percentage. Give you answer correct to 3 significant figures. 5) 5) 6) Calculate 6) Calculate a) 12 + 5 x 9 b) 111 – 72 ÷ 4 a) 12 + 5 x 9 b) 111 – 72 ÷ 4

  6. Int 2 Maths Mixed Homework Exercise 5 Int 2 Maths Mixed Homework Exercise 5 The equation of a straight line is y = 2x - 3. Copy and complete the table and hence make a neat sketch of this line. The equation of a straight line is y = 2x - 3. Copy and complete the table and hence make a neat sketch of this line. 1) 1) x -2 -1 0 1 2 x -2 -1 0 1 2 y y 4 4 Make a neat sketch of the graph of y = - x+ 2 where the x - axis runs from -6 to 6. Make a neat sketch of the graph of y = - x+ 2 where the x - axis runs from -6 to 6. 2) 2) 3 3 3) Expand 3) Expand (d + 5)(d - 9) (4r - 3) 2 (d + 5)(d - 9) (4r - 3) 2 a) b) a) b) 4) Factorise 4) Factorise 5y2 – 10y – 15 5y2 – 10y – 15 14x + 21 14x + 21 a) b) a) b) 5) Write down the equation of this line. 5) Write down the equation of this line. 4 4 2 2 x x 0 0 -4 -2 2 4 -4 -2 2 4 -2 -2 -4 -4 6) Factorise 6) Factorise 5c2 - 31c - 28 5c2 - 31c - 28 p2 + 5p - 24 p2 + 5p - 24 a) b) a) b) 7) Alison bought her flat for £56 000. She sold it 10 years later for £87 920. What percentage profit did Alison make? 7) Alison bought her flat for £56 000. She sold it 10 years later for £87 920. What percentage profit did Alison make?

  7. Int 2 Maths Mixed Homework Exercise 6 Int 2 Maths Mixed Homework Exercise 6 1) The capacity of the liquid in this cylinder is 2957 cm3. Find the depth of the liquid to 2 significant figures. 1) The capacity of the liquid in this cylinder is 2957 cm3. Find the depth of the liquid to 2 significant figures. 8.2 cm 8.2 cm 2) Find the perimeter and area of this minor sector. Give your answers correct to 3 significant figures. 2) Find the perimeter and area of this minor sector. Give your answers correct to 3 significant figures. 137o 137o 7.2 cm 7.2 cm 3) The arc length of this shape is 8.16 cm2. Calculate co to 4 significant figures. 3) The arc length of this shape is 8.16 cm2. Calculate co to 4 significant figures. co co 8.7 cm 8.7 cm 1 1 Make a neat sketch of the graph of y = - x - 3 where the x - axis runs from -6 to 6. Make a neat sketch of the graph of y = - x - 3 where the x - axis runs from -6 to 6. 4) 4) 2 2 5) Factorise the following: 5) Factorise the following: a) t2 + 4t d) 3p2 - 48 a) t2 + 4t d) 3p2 - 48 b) x2 - 16 e) 4k2 – 6k - 10 b) x2 - 16 e) 4k2 – 6k - 10 c) 2w2 + 5w + 2 f) a2b2– 9b2 c) 2w2 + 5w + 2 f) a2b2– 9b2 6) Find the volume of this cone to 2 significant figures. 6) Find the volume of this cone to 2 significant figures. 5.92 cm 5.92 cm 1 1 [ (cone) ] [ (cone) ] V = r2h V = r2h 3 3 27.86 cm 27.86 cm

  8. Int 2 Maths Mixed Homework Exercise 7 Int 2 Maths Mixed Homework Exercise 7 1) Find the volume of this shape. The circle has a diameter of 8 cm. 1) Find the volume of this shape. The circle has a diameter of 8 cm. 17 cm 17 cm 23 cm 23 cm 15 cm 15 cm 2) The area of this shape is 9.83 cm2. Calculate the diameter of the circle. Give your answer correct to 2 sig figs. 2) The area of this shape is 9.83 cm2. Calculate the diameter of the circle. Give your answer correct to 2 sig figs. 23o 23o 3) Calculate the gradient of the line joining these pairs of points. 3) Calculate the gradient of the line joining these pairs of points. a) (7,3) and (9,7) b) (-3,4) and (2,-7) a) (7,3) and (9,7) b) (-3,4) and (2,-7) 4) £700 is put into a bank account and left there for 4 years. If the bank offers a rate of 5.72% p.a. how much interest has this money made during this time ? 4) £700 is put into a bank account and left there for 4 years. If the bank offers a rate of 5.72% p.a. how much interest has this money made during this time ? 1 1 Does the point (4,2) lie on the line y = - x – 4 ? You must show all working. Does the point (4,2) lie on the line y = - x – 4 ? You must show all working. 5) 5) 2 2 A A 6) 6) a) a) Calculate all the missing angles. ABCD is a tangent kite. Calculate all the missing angles. ABCD is a tangent kite. 12 mm 12 mm 5 mm 5 mm xo xo yo yo B B D D zo zo 57o 57o b) b) Calculate the length of the line BD. Calculate the length of the line BD. C C

  9. Int 2 Maths Mixed Homework Exercise 8 Int 2 Maths Mixed Homework Exercise 8 Find the area of this shape. Find the area of this shape. 1) 1) 14 cm 14 cm 10 cm 10 cm 26 cm 26 cm 5 5 Make a neat sketch of the graph of y = - x - 4 where the x - axis runs from -6 to 6. Make a neat sketch of the graph of y = - x - 4 where the x - axis runs from -6 to 6. 2) 2) 3 3 Calculate the size of the missing angles. Calculate the size of the missing angles. 3) 3) 22o 22o 4) The points ( 0 , -4) ( 5 , 26) and ( 14, 80 ) all lie on the same straight line. What is the equation of this line ? 4) The points ( 0 , -4) ( 5 , 26) and ( 14, 80 ) all lie on the same straight line. What is the equation of this line ? 5) Multiply out the brackets and simplify: 5) Multiply out the brackets and simplify: a) (t - 4)(t + 4) b) 10 - 8(s2 - 4) a) (t - 4)(t + 4) b) 10 - 8(s2 - 4) 6) Factorise fully: 6) Factorise fully: a) g3 - 4g b) 3y2 - 21 a) g3 - 4g b) 3y2 - 21 c) 8l2 - 10l - 3 c) 8l2 - 10l - 3

  10. Int 2 Maths Mixed Homework Exercise 9 Int 2 Maths Mixed Homework Exercise 9 1 1 1) Find 12 % of £1403.60 by doing only one sum. 1) Find 12 % of £1403.60 by doing only one sum. 2 2 Find x in each of these triangles. Find x in each of these triangles. 2) 2) 25 m 25 m xo xo x x a) b) a) b) 37 m 37 m 7 cm 33o 7 cm 33o Q Q 3) 3) Find the length of the side QP. Find the length of the side QP. 15 cm 15 cm 52o 52o P 23o P 23o R R 4) 4) Find the size of angle XYZ. Find the size of angle XYZ. 35 m 35 m Y Y Z Z 39 m 39 m 14o 14o X X 5) 5) Find the length of LN. Find the length of LN. L L 70o 70o 40o 40o K M K M N N 73 m 73 m

  11. Int 2 Maths Mixed Homework Exercise 10 Int 2 Maths Mixed Homework Exercise 10 1) Samantha get a 7% pay rise. She now earns £26 750. How much did she earn before her pay rise? 1) Samantha get a 7% pay rise. She now earns £26 750. How much did she earn before her pay rise? 1 1 2) 2) The equation of a straight line is y = - x - 4. Copy and complete the table and hence make a neat sketch of this line. The equation of a straight line is y = - x - 4. Copy and complete the table and hence make a neat sketch of this line. 2 2 -4 -2 0 2 4 -4 -2 0 2 4 x x y y 3) Calculate the perimeter of this shape. 3) Calculate the perimeter of this shape. 30o 30o 115o 115o 97m 97m 47o 47o 95o 95o 4) Calculate the size of the largest angle in this triangle. 4) Calculate the size of the largest angle in this triangle. 14 m 14 m 16 m 16 m 15 m 15 m 5) Calculate the area of the shape. 5) Calculate the area of the shape. 19 cm 19 cm 12 cm 12 cm 34o 34o 27o 27o 33 cm 33 cm

  12. Int 2 Maths Mixed Homework Exercise 11 Int 2 Maths Mixed Homework Exercise 11 Sketch the straight lines y = 4x + 1 and y = -2x + 1. Sketch the straight lines y = 4x + 1 and y = -2x + 1. a) a) 1) 1) b) b) Write down the coordinates where the lines cross. Write down the coordinates where the lines cross. Solve this system of equations. Solve this system of equations. 2) 2) 7x – 3y = -13 7x – 3y = -13 3x + y = -5 3x + y = -5 Find the area of this equilateral triangle. Find the area of this equilateral triangle. 3) 3) 25 mm 25 mm An aircraft is picked up by two radar stations, A and B. Station B is 70 km away and due East of station A. The plane is on a bearing of 47o from station A and 320o from station B. How high is the plane above the ground? An aircraft is picked up by two radar stations, A and B. Station B is 70 km away and due East of station A. The plane is on a bearing of 47o from station A and 320o from station B. How high is the plane above the ground? 4) 4) 5) a) Find the area of this shape. 5) a) Find the area of this shape. b) Find the perimeter of this shape. b) Find the perimeter of this shape. 127o 127o 14 m 14 m 1 1 6) Find 12 % of £6800 by doing only one sum. 6) Find 12 % of £6800 by doing only one sum. 2 2 7) It costs £18 for an adult to go to the football. It costs £7.50 for a child to go to the football. A group of 8 people go to the football. It costs £112.50. How many adults went to the football? 7) It costs £18 for an adult to go to the football. It costs £7.50 for a child to go to the football. A group of 8 people go to the football. It costs £112.50. How many adults went to the football?

  13. Int 2 Maths Mixed Homework Exercise 12 Solve this system of equations. 1) 7x – 5y = 35 9x – 4y = 45 2) Twenty people are asked about their favourite X factor judge. Here are the results. • Louis Walsh • 4 Simon Cowell • Danni Minogue • 8 Cheryl Cole Show this information in a pie chart. Calculate x, y and zo. 3) x cm 12.5cm 10cm zo 24cm y cm M is the centre of the circle and TCD is a tangent. Copy the diagram and mark in all the angles, given ACT = 50o 6) A M B T D C

  14. Int 2 Maths Mixed Homework Exercise 13 1) Central High School have 90 S3 students. 30 travel to school by bus, 40 on foot, 15 on bike and the rest by car. Show this information in a pie chart. Graphs, Charts and Tables – check NAB

  15. Int 2 Maths Mixed Homework Exercise 14 3) The number of absences in a school were recorded each week for two months. 12, 8, 7, 19, 23, 25, 20, 14 Show this information in a box plot. Statistics

  16. Int 2 Maths Mixed Homework Exercise 5 3) Factorise p2 - 10p + 24 a) b) 2p2 + 11p - 40 4) The arc length of this shape is 8.16 cm. Calculate co to 4 significant figures. co 8.7 cm 1 6) Find 12 % of £15 000 by doing only one sum. 2

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