Work out how much Jo has to pay for the units she has used... (Total for Question 7 is 4 marks) June 2012 Unit 2 (Modular) Higher Non-Calculator Q7

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1 1.1 Here is part of Jo s electricity bill. Work out how much Jo has to pay for the units she has used.... (Total for Question 7 is 4 marks) June 2012 Unit 2 (Modular) Higher Non-Calculator Q7 1.2 Grant drives a lorry to deliver some equipment from a factory to a hospital. The distance from the factory to the hospital is 200 miles. The lorry uses one litre of fuel to go 5 miles. A litre of fuel for the lorry costs 1.50 Work out the total cost of the fuel the lorry used.... (Total for Question 2 is 3 marks) March 2013 Unit 2 (Modular) Higher Non-Calculator Q2 2.1 Sandy has a 4-sided spinner. The sides of the spinner are labelled A, B, C and D. The spinner is biased. The table shows the probability that the spinner will land on A or on B or on C. Side A B C D Probability (a) Work out the probability that the spinner will land on D. Sandy spins the spinner 300 times. (b) Work out an estimate for the number of times the spinner will land on A. June 2012 Unit 1 (Modular) Higher Calculator Q1

2 2.2 Priya is raising money for a charity by selling tomato plants that she has grown from seeds. She sells 48 tomato plants for 1.35 each. Priya keeps 15% of the money she gets to pay for the growbags and seeds that she used. She sends the rest of the money to the charity. How much money did she send to the charity? Fatima bought 48 teddy bears at 9.55 each. She sold all the teddy bears for a total of 696. She sold each teddy bear for the same price. (Total for Question 3 is 6 marks) November 2011 Unit 2 (Modular) Higher Non-Calculator Q3 Work out the profit that Fatima made on the teddy bears. (Total for Question 5 is 4 marks) Practice Paper Set A Unit 2 (Modular) Higher Non-calculator Q5 3.1 Using the information that write down the value of (a) (b) (c) = Bethanusesthis formula to work out her gas bill November 2012 Unit 2 (Modular) Higher Non-Calculator Q7 Cost = Fixed charge + Cost per unit units used Last month the Cost of her gas bill was 165 Her fixed charge was 45 The cost per unit was 50p How many units did she use? (Total for Question 2 is 3 marks) Practice Paper Set A Unit 2 (Modular) Higher Non-calculator Q2 6.1 Work out Give your answer in its simplest form. (Total for Question 4 is 2 marks) June 2012 Unit 2 (Modular) Higher Non-Calculator Q4 (1) (1) (1)

3 6.2 Work out (Total for Question 1 is 2 marks) November 2011 Unit 2 (Modular) Higher Non-Calculator Q1 6.3 All of the students in a science class went to one revision class. 1 of the students went to the physics revision class. 6 2 of the students went to the biology revision class. 9 All of the other students went to the chemistry revision class. What fraction of the students went to the chemistry revision class? (Total for Question 1 is 3 marks) Practice Paper Set A Unit 2 (Modular) Higher Non-calculator Q1 *6.4 Susan has 2 dogs Each dog is fed 8 3 kg of dog food each day. Susan buys dog food in bags that each weigh 14kg. For how many days can Susan feed the dogs from 1 bag of dog food? You must show allyour working... days (Total for Question 7 is 5 marks) Practice Paper Set C Unit 2 (Modular) Higher Non-calculator Q7 6.5 Work out Work out 15% of 80 (Total for Question 3 is 2 marks) March 2013 Unit 2 (Modular) Higher Non-Calculator Q3 (Total for Question 3 is 2 marks) November 2010 Unit 2 (Modular) Higher Non-calculator Q3 7.2 Lydia is buying a ring. The ring costs 60 She pays a deposit of 40%. Work out how much she pays as the deposit.... June 2011 Unit 2 (Modular) Higher Non- Calculator Q3 7.3 A TV costs 400 Peter pays a deposit of 15%. How much does Peter still have to pay for the TV? (Total for Question 5 is 3 marks) June 2012 Unit 2 (Modular) Higher Non-Calculator Q5

4 7.4 A shop sells freezers and cookers. The ratio of the number of freezers sold to the number of cookers sold is 5 : 2 The shop sells a total of 140 freezers and cookers in one week. *(a) Work out the number of freezers and the number of cookers sold that week. Jake buys this freezer in a sale. The price of the freezer is reduced by 20%. (3) (b) Work out how much Jake saves. 7.5 There are 200 counters in a bag. The counters are blue or red or yellow. 35% of the counters are blue. 1 of the counters are red. 5 Work out the number of yellow counters in the bag. 7.6 One day a supermarket has 8420 customers. 65% of the customers pay with a debit card. 1 of the customers pay with a credit card. 5 The rest of the customers pay with cash. Work out how many customers pay with cash. (Total for Question 3 is 5 marks) March 2011 Unit 1 (Modular) Higher Calculator Q3 (Total for Question 3 is 4 marks) June 2013 Unit 2 (Modular) Higher Non-Calculator Q3 (Total for Question 2 is 4 marks) November 2013 Unit 3 (Modular) Higher Calculator Q2 8.1 Graham and Michael share 35 in the ratio 5 : 2 Work out the amount of money that Graham gets. (Total for Question 3 is 2 marks) June 2012 Unit 2 (Modular) Higher Non-Calculator Q3 8.2 Grace and Jack share 140 in the ratio 3 : 4 Work out the amount of money that Jack gets. (Total for Question 1 is 2 marks) November 2010 Unit 2 (Modular) Higher Non-calculator Q1

5 8.3 A pile of sand has a weight of 60 kg. The sand is put into a small bag, a medium bag and a large bag in the ratio 2 : 3 : 7 Work out the weight of sand in each bag. small bag...kg medium bag... kg large bag...kg (Total for Question 2 is 3 marks) November 2011 Unit 1 (Modular) Higher Calculator Q2 8.4 There are some sweets in a bag. 18 of the sweets are toffees. 12 of the sweets are mints. (a) Write down the ratio of the number of toffees to the number of mints. Give your ratio in its simplest form. There are some oranges and apples in a box. The total number of oranges and apples is 54 The ratio of the number of oranges to the number of apples is 1 : 5 (b) Work out the number of apples in the box. *8.5 Mrs Collins is organising a school trip. 120 students are going on the trip. Practice Paper Set C Unit 1 (Modular) Higher Calculator Q7 The ratio of the number of staff to the number of students must be 1 : 15 Mrs Collins books three coaches for the trip. Each coach has 42 seats. Are there enough seats for all the students and staff? You must show all your working. (Total for Question 2 is 4 marks) March 2012 Unit 1 (Modular) Higher Calculator Q2 8.6 Ali, Ben and Candice share 300 in the ratio 2 : 3 : 5 How much money does Candice get? (Total for Question 2 is 2 marks) March 2011 Unit 2 (Modular) Higher Non-calculator Q2

6 8.7 Build-a-mix makes concrete. 1 cubic metre of concrete has a weight of 2400 kg. 15% of the concrete is water. The rest of the ingredients of concrete are cement, sand and stone. The weights of these ingredients are in the ratio 1 : 2 : 5 (a) Work out the weight of cement, of sand and of stone in 1 cubic metre of concrete. cement =... kg sand =... kg stone =... kg (4) Build-a-mix needs to make 30 cubic metres of concrete. Build-a-mix has only got 6.5 tonnes of cement. * (b) Will this be enough cement for Build-a-mix to make 30 cubic metres of concrete? You must show all of your working. (3) June 2011 Unit 1 (Modular) Higher Calculator Q identical calculators cost a total of Work out the cost of 7 of these calculators. (Total for Question 1 is 2 marks) Mock paper Unit 3 (Modular) Higher Calculator Q1 9.2 Here is a list of ingredients needed to make 12 scones. Ingredients for 12 scones 220 g self-raising flour 40g butter 150 ml milk 2 tablespoons sugar Viv is making scones for 15 people. She is making 2 scones for each person. Work out the amount of each ingredient she needs. 9.3 Richard s car uses 1 litre of petrol every 8 miles. Petrol costs 1.30 per litre. Richard drives 240 miles. Work out the total cost of the petrol the car uses. Self-raisingflour...g Butter...g Milk...ml Tablespoons of sugar... (Total for Question 1 is 3 marks) March 2012 Unit 2 (Modular) Higher Non-Calculator Q1... (Total for Question 1 is 3 marks) November 2012 Unit 2 (Modular) Higher Non-Calculator Q1

7 9.4 A small photograph has a length of 4 cm and a width of 3 cm. Shez enlarges the small photograph to make a large photograph. The large photograph has a width of 15 cm. Small photograph Large photograph The two photographs are similar rectangles. Work out the length of the large photograph. (Total for Question 1 is 3 marks) June 2012 Unit 3 (Modular) Higher Calculator Q1 9.5 Stacey went to the theatre in Paris. Her theatre ticket cost 96 The exchange rate was 1 = 1.20 (a) Work out the cost of her theatre ticket in pounds ( ). Stacey bought a handbag in Paris. The handbag cost In Manchester, the same type of handbag costs The exchange rate was 1 = 1.20 *(b) Compare the cost of the handbag in Paris with the cost of the handbag in Manchester. (3) June 2012 Unit 1 (Modular) Higher Calculator Q2 9.6 Here are the ingredients needed to make 16 chocolate biscuits. Chocolate biscuits Makes 16 chocolate biscuits 100 g of butter 50 g of caster sugar 120 g of flour 15 g of cocoa Sabrina has 250 g of butter 300 g of caster sugar 600 g of flour and 60 g of cocoa Work out the greatest number of chocolate biscuits Sabrina can make. You must show your working. (Total for Question 5 is 3 marks) June 2013 Unit 2 (Modular) Higher Non-Calculator Q5

8 9.7 Lewis has a copper pipe with a length of 150 cm and a mass of 800 grams. He cuts a piece of the copper pipe with a length of 90 cm. Work out the mass of this piece of copper pipe.... grams (Total for Question 4 is 2 marks) November 2013 Unit 3 (Modular) Higher Calculator Q4 *10.1 Wheat biscuits of the same size can be bought in large boxes, medium boxes and smallboxes. A large box costs 3.69 and contains 48 biscuits. A medium box costs 1.78 and contains 24 biscuits. A small box costs 1.14 and contains 12 biscuits. Which size of box is the best value for money? Explain your answer. You must show all your working. (Total for Question 3 is 4 marks) Mock paper Unit 3 (Modular) Higher Calculator Q3 *10.2 Gordon owns a shop. Here are the prices of three items in Gordon s shop and in a Supermarket. Gordon s Shop 400 g loaf of bread litre of milk tea bags 2.42 Supermarket 400 g loaf of bread litre of milk tea bags 2.28 Gordon reduces his prices by 5%. Will the total cost of these three items be cheaper in Gordon s shop than in the Supermarket? (Total for Question 4 is 3 marks) November 2012 Unit 3 (Modular) Higher Calculator Q4 *10.3 Margaret is in Switzerland. The local supermarket sells boxes of Reblochon cheese. Each box of Reblochon cheese costs 3.10 Swiss francs. It weighs 160 g. In England, a box of Reblochon cheese costs per kg. The exchange rate is 1 = 1.65 Swiss francs. Work out whether Reblochon cheese is better value for money in Switzerland or in England. (Total for Question 5 is 4 marks) November 2010 Unit 1 (Modular) Higher Calculator Q5

9 *10.4 Soap powder is sold in three sizes of box. A 2 kg box of soap powder costs 1.89 A 5 kg box of soap powder costs 4.30 A 9 kg box of soap powder costs 8.46 Which size of box is the best value for money? Explain your answer. You must show all your working. (Total for Question 5 is 4 marks) June 2012 Unit 3 (Modular) Higher Calculator Q Work out an estimate for (Total for Question 5 is 3 marks) Practice Paper Set C Unit 2 (Modular) Higher Non-calculator Q Work out an estimate for the value of. 4.8 (Total for Question 8 is 2 marks) November 2013 Unit 2 (Modular) Higher Non-Calculator Q (a) Simplify 4b 2c (b) Expand 3(2w 5t) (c) Expand and simplify (x + 7)(x 2) [Grade C] 12.2 (a) Simplify 2e 8f + 6e + 3f November 2010 Unit 2 (Modular) Higher Non-calculator Q2 (b) Factorise 4t + 10 [Grade C] (c) Expand and simplify 3 + 2( p 1) (d) Factorise ax+ bx+ ay + by [Grade B] March 2012 Unit 2 (Modular) Higher Non-Calculator Q5 (1) (1)

10 12.3 Here are the first five terms of an arithmetic sequence (a) Write down, in terms of n, an expression for the nth term of this sequence. An expression for the nth term of another sequence is 3n 2 1 (b) Find the fourth term of this sequence. November 2012 Unit 2 (Modular) Higher Non-Calculator Q A taxi company uses this formula to calculate taxi fares. f = 7d wheref is the taxi fare, in pence, and d is the distance travelled, in km. Aziz uses this taxi company to travel a distance of 8 km. Work out the taxi fare. (Total for Question 2 is 3 marks) March 2013 Unit 3 (Modular) Higher Calculator Q t = x 2 5y x = 6 y = 4 Work out the value of t. (Total for Question 3 is 2 marks) November 2013 Unit 2 (Modular) Higher Non-Calculator Q Brian is x years old. Peter is 4 years older than Brian. Amy is 2 years younger than Brian. The total of their ages is 26 years. Work out the value of x. (Total for Question 2 is 4 marks) November 2012 Unit 3 (Modular) Higher Calculator Q Here is a parallelogram. x cm The height of the parallelogram is x cm. The perimeter of the parallelogram is 44 cm. The length of the parallelogram is three times as long as the height. The slant length of the parallelogram is 2 cm longer than the height. Find the area of the parallelogram. cm 2 (Total for Question 3 is 5 marks) Practice Paper Set A Unit 3 (Modular) Higher Calculator Q3

11 13.3 k = 3e + 5 (a) Work out the value of k when e = 2 (b) Solve 4y + 3 = 2y + 14 (c) Solve 3(x 5) = 21 3 <n < 4 nis an integer. (d) Write down all the possible values of n Here are the first five terms of an arithmetic sequence. June 2013 Unit 3 (Modular) Higher Calculator Q (a) (i) Find the next term of this sequence. (ii) Explain how you found your answer. (b) Write down an expression, in terms of n, for the nth term of the sequence. March 2012 Unit 2 (Modular) Higher Non-Calculator Q Here are the first four terms of an arithmetic sequence (a) What is the next term of this sequence? (b) Write down an expression, in terms of n, for the nth term of the sequence. March 2011 Unit 2 (Modular) Higher Non-calculator Q1 (1)

12 14.3 Here are some patterns made from sticks. (a) Pattern number 1 Pattern number 2 Pattern number 3 Complete the table Pattern number Number of sticks (3) (b) Explain if a complete pattern can be made from 99 sticks. (c) Write down an expression, in terms of n, for the number of sticks in Pattern number n. Practice Paper Set B Unit 2 (Modular) Higher Non-Calculator Q Here are the first four terms of an arithmetic sequence (a) Find the 10th term of this sequence. (1) (b) Find an expression, in terms of n, for the nth term of the sequence. November 2011 Unit 2 (Modular) Higher Non-Calculator Q Here are the first 5 terms of an arithmetic sequence (a) Write down an expression, in terms of n, for the nth term of this sequence. The nth term of a different sequence is 2n 2 4 (b) Find the 3rd term of this sequence. June 2011 Unit 2 (Modular) Higher Non- Calculator Q The first five terms of an arithmetic sequence are (a) Write down an expression, in terms of n, for the nth term of this sequence. An expression for the nth term of a different sequence is 20 5n (b) Work out the 10th term of this sequence. March 2013 Unit 2 (Modular) Higher Non-Calculator Q7

13 14.7 Here are some patterns made from white centimetre squares and grey centimetre squares. Pattern 1 Pattern 2 Pattern 3 A Pattern has 20 grey squares. (a) Work out how many white squares there are in this Pattern. (b) Find an expression, in terms of n, for the total number of centimetre squares in Pattern n. November 2013 Unit 2 (Modular) Higher Non-Calculator Q On the grid, draw the graph of y = 2x 3 for values of x from 2 to 2 (Total for Question 9 is 3 marks) June 2012 Unit 2 (Modular) Higher Non-Calculator Q9

14 15.2 On the grid, draw the graph of y = 4x 2 for values of x from x = 2 to x = 3 (Total for Question 8 is 3 marks) March 2012 Unit 2 (Modular) Higher Non-Calculator Q8

15 15.3 On the grid, draw the graph of y = 2x + 3 for values of x from x = 3 to x = 1 (Total for Question 3 is 3 marks) March 2011 Unit 2 (Modular) Higher Non-calculator Q3

16 15.4 (a) Complete the table of values for y = 2 1 x + 4 x y 3 4 (b) On the grid, draw the graph of y = 2 1 x + 4 (c) (i) On the grid, draw the line that is perpendicular to y = 2 1 x + 4 and passes through the point with coordinates (0, 4) (ii) Find the equation of this line. [Grade B] (3) November 2011 Unit 2 (Modular) Higher Non-Calculator Q8

17 *17.1 BDEis an isosceles triangle. DB = DE. The straight line ABC is parallel to the straight line DEF. Work out the size of the angle marked x. You must give reasons for each stage in your working. (Total for Question 1 is 4 marks) June 2012 Unit 2 (Modular) Higher Non-Calculator Q AFB and CHDare parallel lines. EFD is a straight line. Work out the size of the angle marked x. (Total for Question 13 is 3 marks) November 2010 Unit 2 (Modular) Higher Non-calculator Q4

18 17.3 A B 95º 120º 72º x C D E ABCD is a quadrilateral CDE is a straight line. Find the size of angle x. (Total for Question 3 is 3 marks) Practice Paper Set B Unit 2 (Modular) Higher Non-calculator Q x 65º Diagram NOT accurately drawn D E F ABCD is a parallelogram. ABC and DEF are straight lines. Find the value of the angle marked x. You must give reasons to explain your answer. (Total for Question 2 is 4 marks) Practice Paper Set C Unit 2 (Modular) Higher Non-calculator Q2

19 18.1 (a) Reflect shape P in the line x = 3 (b) Describe fully the single transformation that maps shape A onto shape B. November 2012 Unit 3 (Modular) Higher Calculator Q10 (3)

20 18.2 (a) Rotate triangle T 90 clockwise about the point (0, 0). (b) Describe fully the single transformation which maps shape P onto shape Q. (3) Mock paper Unit 3 (Modular) Higher Calculator Q11

21 18.3 Describe fully the single transformation which maps triangle A onto triangle B. (Total for Question 6 is 3 marks) June 2012 Unit 3 (Modular) Higher Calculator Q6

22 18.4 y O 1 P x (a) Rotate triangle P 180 about the point ( 1, 1). Label the new triangle A. 6 (b) Translate triangle P by the vector.label the new triangle B. 1 y R 2 1 Q O (c) Describe the single transformation that moves shape Q to shape R. Practice Paper Set A Unit 3 (Modular) Higher Calculator Q4 x

23 18.5 Describe fully the single transformation that maps triangle A onto triangle B (Total for Question 7 is 3 marks) March 2013 Unit 3 (Modular) Higher Calculator Q7 On the grid, enlarge the shape with scale factor 3, centre A. (Total for Question 2 is 3 marks) June 2013 Unit 3 (Modular) Higher Calculator Q2

24 18.7 Two shapes are shown on the grid. (a) Describe fully the transformation that maps shape P onto shape Q. (b) Rotate triangle A 90 clockwise about the point (0, 2). Label the new triangle B. November 2013 Unit 3 (Modular) Higher Calculator Q1

25 19.1 The diagram shows the front elevation and the side elevation of a prism. Front elevation Side elevation (a) On the grid, draw a plan of this prism. (b) In the space below, draw a sketch of this prism. March 2012 Unit 2 (Modular) Higher Non-Calculator Q9

26 19.2 The diagram shows a solid prism. 2 cm 1 cm 3 cm 4 cm (a) arrow. On the grid below, draw the front elevation of the prism from the direction of the (b) On the grid below, draw the plan of the prism. Practice Paper Set C Unit 3 (Modular) Higher Non-Calculator Q3

27 19.3 Here are the plan and front elevation of a prism. The cross section of the shape is represented by the front elevation. Plan Front Elevation (a) On the grid below draw a side elevation. (b) In the space below draw a 3D sketch of the shape. Practice Paper Set A Unit 2 (Modular) Higher Non-Calculator Q8

28 19.4 Here is a solid prism. On the grid, draw an accurate side elevation of the solid prism from the direction of the arrow. (Total for Question 10 is 2 marks) March 2013 Unit 2 (Modular) Higher Non-Calculator Q10

29 19.5. Here is a box in the shape of a cuboid. (a) Complete an accurate drawing of the cuboid on the isometric grid. One edge of the cuboid has been drawn for you. The box is made to hold cubes. Each cube has edges of length 2 cm. (b) Work out the largest number of cubes that can fit into the box. November 2013 Unit 2 (Modular) Higher Non-Calculator Q6

30 20.1 Use ruler and compasses construct an angle of 45º at A You must show all construction lines A (Total for Question 6 is 3 marks) Practice Paper Set C Unit 3 (Modular) Higher Calculator Q6 Work out the area of this triangle. (3) June 2011 Unit 2 (Modular) Higher Non-Calculator Q Here is a right-angled triangle. The shape below is made from 4 of these triangles. Work out the perimeter of the shape.... cm (Total for Question 3 is 3 marks) November 2012 Unit 2 (Modular) Higher Non-Calculator Q3

31 22.1 Here is a circle. 8 cm The radius of the circle is 8 cm. (a) Work out the circumference of the circle. (b) Work out the area of the circle.. cm.. cm² Practice Paper Set C Unit 3 (Modular) Higher Calculator Q Susan has a round cake. The cake has a diameter of 20 cm. Susan wants to put a ribbon round the cake. What is the least length of ribbon she can use? (Total for Question 3 is 3 marks) November 2012 Unit 3 (Modular) Higher Calculator Q Here is a circle. The radius of the circle is 4 cm. Work out the circumference of the circle.... cm (Total for Question 5 is 2 marks) March 2013 Unit 3 (Modular) Higher Calculator Q5

32 *22.4 The diagram shows a flower bed in the shape of a circle. The flower bed has a diameter of 2.4 m. Sue is going to put a plastic strip around the edge of the flower bed. The plastic strip is sold in 2 metre rolls. How many rolls of plastic strip does Sue need to buy? You must show all your working. (Total for Question 4 is 4 marks) June 2013 Unit 3 (Modular) Higher Calculator Q Ouzma wants to find out the method of transport people use to travel to a shopping centre. Design a suitable data collection sheet she could use to collect this information. (Total for Question 3 is 3 marks) November 2010 Unit 1 (Modular) Higher Calculator Q James wants to find out how long his friends spend using the internet. He uses this question on his questionnaire. (a) Write down two things wrong with this question. (b) Write a better question for James to use on his questionnaire to find out how long his friends spend using the internet. November 2011 Unit 1 (Modular) Higher Calculator Q (a) Dan is doing a survey to find out how much time students spend playing sport. He is going to ask the first 10 boys on the register for his PE class. This may not produce a good sample for Dan s survey. Give two reasons why. (b) Design a suitable question for Dan to use on a questionnaire to find out how much time students spend playing sport. March 2011 Unit 1 (Modular) Higher Calculator Q1

33 children went on a school trip. 35 of the children were boys. They went to London, York or to a theme park. 10 boys and 15 girls went to London. 5 boys went to York. 25 of the children went to the theme park. (a) Use this information to complete the two-way table. Theme London York Park Boys Total Girls Totals (3) One of the 80 children is to be chosen at random. (b) What is the probability that this child went to London. Practice Paper Set C Unit 1 (Modular) Higher Calculator Q There are a total of 96 children in Years 4, 5 and 6 37 of these children cannot swim. 11 children in Year 4 cannot swim. 21 children in Year 5 can swim. There are 30 children in Year 6 18 of these 30 children can swim. (i) Work out the number of children in Year 4 who can swim. (ii) Work out the total number of children in Year 5 (4) June 2011 Unit 1 (Modular) Higher Calculator Q There are 200 students at a college. Each student studies one of Art, Graphics or Textiles. Of the 116 female students, 26 study Graphics. 22 male students study Textiles. A total of 130 students study Art. The number of students who study Graphics is the same as the number of studentswho study Textiles. Work out how many male students study Art. (Total for Question 6 is 4 marks) November 2012 Unit 1 (Modular) Higher Calculator Q A teacher asked 30 students if they had a school lunch or a packed lunch or if they went home for lunch. 17 of the students were boys. 4 of the boys had a packed lunch. 7 girls had a school lunch. 3 of the 5 students who went home were boys. Work out the number of students who had a packed lunch. (Total for Question 4 is 4 marks) March 2011 Unit 1 (Modular) Higher Calculator Q4

34 children went on a school activities day. Some children went bowling. Some children went to the cinema. The rest of the children went skating. 66 of these children were girls. 28 of the 66 girls went bowling. 36 children went to the cinema. 20 of the children who went to the cinema were girls. 15 boys went skating. Work out the number of children who went bowling. (Total for Question 6 is 4 marks) November 2010 Unit 1 (Modular) Higher Calculator Q A survey was carried out for a magazine. 90 cat owners were asked to write down the make of cat food their cats liked best. The bar chart shows information about the results. The information in the bar chart is going to be shown in a pie chart. Use the information in the bar chart to complete the pie chart. (Total for Question 4 is 3 marks) November 2012 Unit 1 (Modular) Higher Calculator Q4

35 28.2 Each year group in a school raised money for charity. The incomplete table and pie chart show some information about this. Complete the table. Year Group Amount raised (Total for Question 7 is 3 marks) March 2012 Unit 1 (Modular) Higher Calculator Q7

36 29.1 The scatter graph shows information about 8 people. It shows each person s height and the circumference of their head. The table gives this information for 2 other people. Height (cm) Circumference of head (cm) (a) On the scatter graph, plot the information from the table.(1) (b) Describe the correlation. (1) (c) Draw a line of best fit on your scatter graph.(1) (d) Estimate the circumference of the head of a person who is 156 cm tall...cm(1) November 2011 Unit 1 (Modular) Higher Calculator Q5

37 29.2 The scatter graph shows information about the ages and values of seven Varley motor scooters. Another Varley motor scooter is 5 years old. It has a value of 300 (a) Show this information on the scatter graph. (b) Describe the relationship between the age and the value of Varley motor scooters. A Varley motor scooter is 4 years old. (c) Estimate its value. (1) (1)... June 2012 Unit 1 (Modular) Higher Calculator Q3

38 29.3 Some children took part in a piano competition. Each child was given a mark from Judge A and from Judge B. The scatter graph below shows some of this information. (a) Describe the correlation. (1) Judge A gives 44 marks to another child. (b) Use the scatter graph to estimate Judge B s mark for this child... marks November 2012 Unit 1 (Modular) Higher Calculator Q5

39 29.4 A beach cafe sells ice creams. Each day the manager records the number of hours of sunshine and the number of ice creams sold. The scatter graph shows this information. On another day there were 11.5 hours of sunshine and 73 ice creams sold. (a) Show this information on the scatter graph. (1) (b) Describe the relationship between the number of hours of sunshine and the number of ice creams sold. (1) One day had 10 hours of sunshine. (c) Estimate how many ice creams were sold. March 2011 Unit 1 (Modular) Higher Calculator Q2

40 30.1 The list below shows the weight, in grams, of 15 baskets of strawberries Show this information in an ordered stem and leaf diagram. You must include a key Here are the heights, in cm, of 20 sunflower plants. (Total for Question 1 is 3 marks) November 2012 Unit 1 (Modular) Higher Calculator Q (a) Draw an ordered stem and leaf diagram for these heights. (b) Find the median height.... cm (1) March 2012 Unit 1 (Modular) Higher Calculator Q5 (3)

41 31.1 Marta asked some students how many cans of drink they each drank yesterday. The table shows her results. Number of cans Frequency Work out the total number of cans these students drank yesterday. (Total for Question 1 is 2 marks) March 2012 Unit 1 (Modular) Higher Calculator Q Julie is x years old. Kevin is x + 3 years old. Omar is 2x years old. Write an expression, in terms of x, for the mean of their ages. November 2011 Unit 1 (Modular) Higher Calculator Q Josh asked 30 adults how many cups of coffee they each drank yesterday. The table shows his results. Number of cups Frequency Work out the mean. (Total for Question 9 is 3 marks) Practice Paper Set C Unit 1 (Modular) Higher Calculator Q9

42 31.4 There are 15 bags of apples on a market stall. The mean number of apples in each bag is 9 The table below shows the numbers of apples in 14 of the bags. Number of apples Frequency Calculate the number of apples in the 15th bag. (Total for Question 6 is 3 marks) March 2011 Unit 1 (Modular) Higher Calculator Q Josh plays a game with two sets of cards. Josh takes at random one card from each set. He adds the numbers on the two cards to get the total score. (a) Complete the table to show all the possible total scores. Set A Set B (1) (b) What is the probability that Josh s total score will be greater than 12? Josh s year group are raising money for a sponsored skydive. 60 students are each going to play Josh s card game once. Each student pays 50p to play the game. Josh pays 1.50 to any player getting a total of 8 (c) Show that Josh can expect to make a profit of 21 from his game. (4) November 2011 Unit 1 (Modular) Higher Calculator Q8

43 33.1 Laura has a four-sided spinner. The spinner is biased. The table shows each of the probabilities that the spinner will land on 1 or land on 3 The probability that the spinner will land on 2 is equal to the probability that it will land on 4 Number Probability Laura is going to spin the spinner once. (a) Work out the probability that the spinner will not land on 1 (b) Work out the probability that the spinner will land on 2 November 2010 Unit 1 (Modular) Higher Calculator Q Here is a five-sided spinner. The table shows the probabilities that the spinner will land on 1 or 2 or 3 or 4 or 5 Number Probability Pete spins the spinner once. (a) Work out the probability that the spinner will land on a number greater than 2 Elinor is going to spin the spinner 200 times. (b) Work out an estimate for the number of times the spinner will land on 5 March 2012 Unit 1 (Modular) Higher Calculator Q Tim plays a game. He can win the game or he can lose the game or he can draw the game. The probability that Tim will win the game is The probability that Tim will lose the game is x. (a) Give an expression, in terms of x, for the probability that he will draw the game. Tim plays the game 240 times. (b) Work out an estimate for the number of times he will win the game. November 2013 Unit 1 (Modular) Higher Calculator Q2