Exam Question Bank. Name Class
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1 M6 Exam Question Bank Name Class 1
2 1. (a) Multiply out a(a + 5) (a)... [1] (b) Factorise 8t 1 (b)... [1]
3 . Find the angles marked with letters. Give a reason for each of your answers. y 65 0 Not to Scale 37 0 x x =... o because [] y =... o because [] 3
4 3. CHOC TIME Put a scratch card in each tube of chocolates. Some scratch cards win a prize. (a) The probability of not winning a prize is 0.7. What is the probability of winning a prize? (a)... [1] (b) The Tops of the tubes come in three colours, yellow red and green. The probability that a particular top is yellow is 0.1 The probability that it is red is equal to the probability that it is green. What is the probability that a particular top is green? (b)... [1] 4
5 4. y A x Translate Shape A left 5 squares then 6 squares down [] 5
6 5. (a) Write these fractions in order of size, smallest first Show how you decide Smallest [] (b) Work out (b)... [] 6
7 6. (a) Work out (i) (a)(i)... [1] (ii) (ii)... [] (b) Simplify the ratio 10:180 (b)... [] 7
8 7. During one week, 30 babies were born in a Leeds hospital. Their weights are summarised in the table below. Weight (w kg) 1 < w < < w < 3 3 < w < 4 4 < w < 5 5 < w < 6 Frequency (a) Draw a frequency diagram to represent this information. Frequency (b) What is the modal group? Weight (w kg) [3]... [1] 8
9 8. A park is in the shape of a trapezium 10m 15m Not to scale 5m Calculate the area of the park you can use the formula 1 (a+b) h... m [3] 9
10 9. (a) In a lottery, Martin won 18 and Pat won 4 Work out the ratio of Martin's winnings to Pat's winnings Give your answer in the simplest form (b) A B Share 0 in the ratio 3: (a)... :... [] A gets... B gets... [] 10
11 10. (a) Find the area of the triangle below 4cm 10cm (a)...cm [] (b) Find the area of the circle below (use r ) radius = 5cm (b)...cm [] 11
12 11) y A x Rotate rectangle A 90 o clockwise about point (0, 0). Label it B [3] 1
13 1. (a) Find the value of x + 3x when x = 5 (a)...[1] (b) Find the value of x + x when x = 5 (b)...[] 13
14 13. Draw an enlargement of this shape using a scale factor of and centre C C [3] 14
15 14. Work out (a) 4 15 (a)... [1] (b) 9 1 (b)... [] 15
16 15. (a) Multiply out m(m + 3) (a)... [1] (b) Factorise t 4t (b)... [1] 16
17 16. (a) Calculate (a)... [] (b) Calculate (Give your answer correct to 1 decimal place) (b)... [] 17
18 17. The diagram shows a prism with measurements in centimetres Draw a full size elevation from the direction of the arrow. [3] 18
19 18. The diagram shows the same prism with measurements in centimetres Work out the total volume of the prism....cm 3 [3] 19
20 19. Solve (a) 3(x ) = 18 (a)... [] (b) 6x 1 = x + 19 (b)... [3] (c) 5x + 3 = 3x + 10 (c)... [3] 0
21 0. (a) Work out (a)... [] (b) Oranges cost.15 per kilogram Work out the total cost of.4kg of oranges You must show your working (b)... [3] 1
22 1. The diagram shows triangle R y R x (a) Rotate triangle R through 90 o anticlockwise about (0, 0). Label the triangle S. [] 5 (b) Reflect triangle R in the x axis. Label the triangle T. [] (c) Translate triangle R 4 squares to the left, 5 squares down. Label the triangle U. []
23 . (a) Complete the table for y = 3x y x y [] 7 6 (b) Draw the graph for y = x 3 5 [] 4 3 (c) Find the value of x when the line crosses the x axis as a decimal (c) x =... [1] x 3 3
24 3. The local shop sells bags of potatoes They record the number of bags sold at different prices Here are the results. Price (p) Number of bags sold (a) The first seven points have been plotted on the scatter diagram Plot the remaining five points [] (b) Describe the correlation... [1] (c)(i) Draw a line of best fit [1] (ii) Use your line to complete this sentence At a price of 50p the shop expects to sell... bags. [1] 4
25 Number of bags Price (p)
26 4. Carl walked home from school. The graph below represents his journey Home 4 Distance from school (km) 3 1 School Time (a) Carl stopped to talk to a friend For how long did he stop? (a)... minutes [1] (b) How long did the journey take altogether? (b)... minutes [] (c) How far was Carl from home at 1610? (b)... km [] 6
27 5. Draw a regular hexagon with its vertices on the circle below Show all your construction lines [3] 7
28 6. Solve (a) (4x ) = 16 (a)... [] (b) 6x + 3 = 5x + 7 (b)... [3] (c) 5x + 7 = 3x + 1 (c)... [3] 8
29 7. Work out (simplify where necessary) (a) (a)... [] (b) (b)... [] 9
30 8. (a) Write as a power t t t t t t (b) Work out the value of x + 3x when (a)... [1] (i) x = 5 (i)... [1] (ii) x = 5 (ii)... [] 30
31 9. Mr Cornish sold ice cream at the local park He drew these scatter diagrams Diagram A Diagram B Total takings ( ) Temperature ( o C) Number of ice cerams sold Price (p) of one ice cream Describe the relationship shown in diagram A Diagram A... [1]... State the correlation shown in diagram B Diagram B... [1] 31
32 30. Here is the sketch of a triangle 8cm C Not to Scale Complete a full size drawing of this triangle below A 35 o 5cm B [4] 3
33 31. This stem and leaf diagram shows the times it took students in class 11S to get from home to school one day Key : 3 1 = 31 minutes (a) What was the modal time taken? (a)... minutes [1] (b) What was the range of times taken? (b)... minutes [1] (c) What was the median of the times taken? (c)... minutes [1] 33
34 3. A football team recorded the number of goals it scored each week one season Number of goals Total Frequency (a) What was the modal number of goals scored?... goals [1] (b) What was the mean number of goals scored?... goals [3] 34
35 33. The diagram shows triangle A and its enlarged triangle B y A B x (a) What is the scale factor of enlargement?... [1] (b) Write down the coordinates of enlargement? (...,...) [1] 35
36 34. The picture shows a circular coffee table The diameter of the top of the table is 90cm Calculate the area of the top of the table... cm [3] 36
37 35. Calculate the values of the following (a) (b) (a)... [1] (c) (b)... [] (c)... [1] 37
38 36. (a) Multiply out (3a + 4) (a)... [1] (b) Multiply out x(x 4) (c) Factorise 3n + 6 (b)... [1] (d) Factorise x + 3x (c)... [1] (d)... [1] 38
39 37. E D Not to Scale A y In the diagram, AC is Parallel to ED (a) Find angle x Give a reason for your answer x =... o because [] (b) Find angle y Give a reason for your answer y =... o because... B x C (c)... [] The exterior angle of a regular polygon is 40 o How many sides does the polygon have?...[] 39
40 38. (a) Complete the table for y = 7 3x y x y [] 7 6 (b) Draw the graph for y = 7 3x (c) Use the graph to solve the equation 7 3x = 5 (c) x =... [1] [] x 40
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