*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 – Q5 11.1 Work out an estimate for (Total for Question 5 is 3 marks) Practice Paper Set C – Unit 2 (Modular) – Higher – Non-calculator – Q5 11.2 Work out an estimate for the value of . (Total for Question 8 is 2 marks) November 2013 – Unit 2 (Modular) – Higher – Non-Calculator – Q8 12.1 (a) Simplify 4b × 2c (1) (b) Expand 3(2w – 5t) (2) (c) Expand and simplify (x + 7)(x – 2) [Grade C] (2) November 2010 – Unit 2 (Modular) – Higher – Non-calculator – Q2 12.2 (a) Simplify 2e – 8f + 6e + 3f (2) (b) Factorise 4t + 10 [Grade C] (1) (c) Expand and simplify 3 + 2( p – 1) (2) (d) Factorise ax+ bx+ ay + by [Grade B] (2) March 2012 – Unit 2 (Modular) – Higher – Non-Calculator – Q5 12.3 Here are the first five terms of an arithmetic sequence. 4 11 18 25 32 (a) Write down, in terms of n, an expression for the nth term of this sequence. (2) An expression for the nth term of another sequence is 3n2 – 1 (b) Find the fourth term of this sequence. (2) November 2012 – Unit 2 (Modular) – Higher – Non-Calculator – Q8
12.4 A taxi company uses this formula to calculate taxi fares. f = 7d2 + 320 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 – Q2 12.5 t = x2 – 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 – Q3 13.1 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 – Q2 13.2 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. ………………… cm2 (Total for Question 3 is 5 marks) Practice Paper Set A – Unit 3 (Modular) – Higher – Calculator – Q3 13.3 k = 3e + 5 (a) Work out the value of k when e = –2 (2) (b) Solve 4y + 3 = 2y + 14 (2) (c) Solve 3(x – 5) = 21 (2)
March 2012 – Unit 2 (Modular) – Higher – Non-Calculator – Q8 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 15.4 (a) Complete the table of values for y = x + 4 x –2 –1 0 1 2 y 3 4 (2) (b) On the grid, draw the graph of y = x + 4 (2) (c) (i) On the grid, draw the line that is perpendicular to y = 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 *17.1 is 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 – Q1 17.2 AFB and are 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 17.3 A B 95º 120º
72º x C D E ABCD is a quadrilateral 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 – Q3 17.4 x Diagram NOT accurately drawn 65º 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 18.1
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. (2) (b) In the space below, draw a sketch of this prism. (2) March 2012 – Unit 2 (Modular) – Higher – Non-Calculator – Q9 19.2 The diagram shows a solid prism. 2 cm 1 cm 3 cm 4 cm (a) On the grid below, draw the front elevation of the prism from the direction of the arrow. (2) (b) On the grid below, draw the plan of the prism.