8 2x – 3 Find the length of the smallest side. (Total for Question 8 is 4 marks) Practice Paper Set B – Unit 3 (Modular) – Higher – Calculator – Q8 11.3 (a) Solve 5x + 4 = 2(4x – 3) x = …………………….. (3) (b) Solve [Grade A] x = ………………… (3) Practice Paper Set B – Unit 3 (Modular) – Higher – Calculator – Q10 11.4 (a) Solve 3x – 5 = 7x + 30 (2) (b) Solve (3) Practice Paper Set C – Unit 3 (Modular) – Higher – Calculator – Q10 11.5 (a) Solve 2x + 3 = x – 4 x = .............................................. (2) (b) Solve 4(x – 5) = 14 x = .............................................. (2) March 2013 – Unit 3 (Modular) – Higher – Calculator – Q12 11.6 Dan has some marbles. Ellie has twice as many marbles as Dan. Frank has 15 marbles. Dan, Ellie and Frank have a total of 63 marbles. How many marbles does Dan have? (Total for Question 8 is 3 marks) June 2013 – Unit 3 (Modular) – Higher – Calculator – Q8 *12.1 This formula is used to work out the body mass index, B, for a person of mass M kg and height H metres. B = A person with a body mass index between 25 and 30 is overweight. Arthur has a mass of 96 kg. He has a height of 2 metres. Is Arthur overweight? You must show all your working. (Total for Question 14 is 3 marks) November 2011 – Unit 2 (Modular) – Higher – Non-Calculator – Q6
March 2012 – Unit 2 (Modular) – Higher – Non-Calculator – Q7 25.2 Here is a list of ingredients for making apple crumble for 2 people. Apple Crumble for 2 people 10 ounces apples 4 ounces flour 2 ounces sugar 1 ounce butter 1 tablespoon water 1 teaspoon baking powder 1 ounce = 28 grams 1 tablespoon = 15 ml 1 teaspoon = 5 ml Anne is going to make apple crumble for 5 people. (a) Work out how much flour she needs. Give your answer in grams. ............................................. grams (3) David is making an apple crumble. He uses 140 grams of butter. (b) Work out how many people he is making apple crumble for. (2) November 2012 – Unit 2 (Modular) – Higher – Non-Calculator – Q2 25.3. Jonty is going to completely fill an empty tank with water. The tank holds 2 m3. How many litres of water does he need? ……………………. litres (Total for Question 8 is 3 marks) Practice Paper Set A – Unit 3 (Modular) – Higher – Calculator – Q8 *25.4 Rodney bought some old railway track at an auction. Each piece of track was 20 metres long. Each piece of track weighed 40 kg per metre length. Rodney has a lorry that can carry a maximum of 45 tonnes. What is the maximum number of railway tracks that Rodney can fit onto the lorry? (Total for Question 10 is 6 marks) Practice Paper Set B – Unit 2 (Modular) – Higher – Non-Calculator – Q10
30 <t ≤ 40 7 40 <t ≤ 50 5 On the grid below, draw a frequency polygon for this information. (Total for Question 5 is 2 marks) June 2013 – Unit 1 (Modular) – Higher – Calculator – Q5 31.1 The table gives information about the speeds of 75 cars on a road. Speed (s km/h) Frequency 30 s < 40 7 40 s < 50 22 50 s < 60 34 60 s < 70 12 Work out an estimate for the mean speed. ....................................................... km/h(4) June 2012 – Unit 1 (Modular) – Higher – Calculator – Q6 31.2 Faisel weighed 50 pumpkins. The grouped frequency table gives some information about the weights of the pumpkins. Weight (w kilograms) Frequency 0 <w 4 11 4<w 8 23 8<w 12 14 12<w 16 2 Work out an estimate for the mean weight. ............................................. kg (4) November 2012 – Unit 1 (Modular) – Higher – Calculator – Q3 31.3 The table shows information about midday temperatures. Temperature (t °C) Number of days 10 t <15 6 15 t <20 4 20 t <25 24 25 t <30 44 30 t <35 10
34.2 Here is a four-sided spinner. The sides of the spinner are labelled A, B, C and D. The table shows the probability that the spinner will land on A or on B or on D. Letter A B C D Probability 0.12 0.39 0.18 Amber spins the spinner once. (a) Work out the probability that the spinner will land on C. (2) Lucy is going to spin the spinner 50 times. (b) Work out an estimate for the number of times the spinner will land on A. (2) November 2012 – Unit 1 (Modular) – Higher – Calculator – Q2 34.3 Denzil has a 4-sided spinner. The sides of the spinner are numbered 1, 2, 3 and 4 The spinner is biased. The table shows each of the probabilities that the spinner will land on 1, on 3 and on 4 The probability that the spinner will land on 3 is x. Number 1 2 3 4 Probability 0.3 x 0.1 (a) Find an expression, in terms of x, for the probability that the spinner will land on 2. Give your answer in its simplest form. (2) Denzil spins the spinner 300 times. (b) Write down an expression, in terms of x, for the number of times the spinner is likely to land on 3. (1) June 2011 – Unit 1 (Modular) – Higher – Calculator – Q5 34.4 The probability that a pea plant will grow from a seed is 93%. Sarah plants 800 seeds. Work out an estimate for the number of seeds that will grow into pea plants. (Total for Question 2 is 2 marks) March 2013 – Unit 1 (Modular) – Higher – Calculator – Q2