*1.7 Jim buys 6 trays of Cola for £9.99 a tray. Each tray holds 24 cans of Cola. Jim goes to the school fete to sell his Cola. He sells 75 cans at 80p each. He gives 10 cans to his friends. He sells the rest at 50p each. What is Jim’s percentage profit or loss? Give your answer to 1 decimal place. (Total for Question 9 is 5 marks) Practice Paper Set B – Unit 3 (Modular) – Higher – Calculator – Q9 *1.8 Here are two schemes for investing £2500 for 2 years. Scheme A gives 4% simple interest each year. Scheme B gives 3.9% compound interest each year. Which scheme gives the most total interest over 2 years? You must show all your working. (Total for Question 13 is 4 marks) March 2013 – Unit 3 (Modular) – Higher – Calculator – Q13 1.9 Martin bought a computer for £1200 At the end of each year the value of the computer is depreciated by 20%. After how many years will the value of the computer be £491.52? You must show your working. (Total for Question 11 is 3 marks) March 2013 – Unit 1 (Modular) – Higher – Calculator – Q11 1.10 Becky buys a new car for £20 000. The value of this car will depreciate by 15% at the end of the first year then by 10% at the end of every year after the first year. After how many years will the car have a value of less than £15 000? You must show all your working. (Total for Question 10 is 4 marks) June 2013 – Unit 1 (Modular) – Higher – Calculator – Q10 *1.11 Ella wants to invest £6000 in a savings account for 2 years. She finds information about savings accounts at two different banks.
8.4 Here are the equations of 5 straight lines. P y = 2x + 5 Q y = – 2x + 5 R y = x + 5 S y = –x + 6 T y = x + 1 (a) Write down the letter of the line that is parallel to y = x – 5 (1) (b) Write down the letter of the line that is perpendicular to y = 2x – 1 (1) (c) Find the coordinates of the point where the line y = 2x + 5 cuts the y axis, (ii)x axis. (2) Practice Paper Set B – Unit 3 (Modular) – Higher – Calculator – Q13 9.1 (a) Complete the table of values for y = x2 – 3x – 1 x –2 –1 0 1 2 3 4 y 3 –1 –3 –1 (2) (b) On the grid draw the graph of y = x2 – 3x – 1 for values of x from –2 to 4 y 10 8 6 4 2 x –3 –2 –1 O 1 2 3 4 –2 –4 (2) (c) Solve the equation x2 – 3x = 4 (2) Practice Paper Set A – Unit 3 (Modular) – Higher – Calculator – Q11
CB = 9.7 cm. Work out the value of x. Give your answer correct to 1 decimal place. (Total for Question 13 is 3 marks) Mock paper – Unit 3 (Modular) – Higher – Calculator – Q13 16.2 ABCD is a parallelogram. DC = 5 cm Angle ADB = 36° Calculate the length of AD. Give your answer correct to 3 significant figures. ............................................. cm (Total for Question 14 is 4 marks) November 2012 – Unit 3 (Modular) – Higher – Calculator – Q14 16.3 LMN is an equilateral triangle. Work out the height of triangle LMN. Give your answer correct to 3 significant figures. .............................................. cm (Total for Question 17 is 3 marks) Mock paper – Unit 3 (Modular) – Higher – Calculator – Q17 16.4 Here is an isosceles triangle. 10 cm 50° Find the area of the triangle. Give your answer correct to 3 significant figures. ………………. cm2 (Total for Question 13 is 6 marks) Practice Paper Set A – Unit 3 (Modular) – Higher – Calculator – Q13 16.5 GHJ is a right-angled triangle.
20.3 Martin and Luke are students in the same maths class. The probability that Martin will bring a calculator to a lesson is 0.8 The probability that Luke will bring a calculator to a lesson is 0.6 (a) Complete the probability tree diagram. (2) (b) Work out the probability that both Martin and Luke will not bring a calculator to alesson. (2) March 2011 – Unit 1 (Modular) – Higher – Calculator – Q11 20.4. In a newsagent’s shop, the probability that any customer buys a newspaper is 0.6 In the same shop, the probability that any customer buys a magazine is 0.3 (a) Complete the probability tree diagram. (2) (b) Work out the probability that a customer will buy either a newspaper or a magazinebut not both. (3) March 2012 – Unit 1 (Modular)–Higher – Calculator – Q9 20.5 Sally has a fair 4-sided spinner numbered 1, 3, 5 and 7 and a fair 6-sided die. 1 6 7 3 5 35 He spins the spinner once and rolls the die once. To get the score he adds the numbers together. (a) Work out the probability that the score will be 3 (2) (b) Work out the probability the score will be less than 5. (3) Practice Paper Set B – Unit 1 (Modular)–Higher – Calculator – Q13