1. Revision Race: Question 1 Team: A – A* Revision Race: Question 1 Team: A – A* P The diagram shows two regular hexagons, calculate the size of angle ‘p’ Calculate the value of the largest angle in the parallelogram pictured

2. Revision Race: Question 2 Team: A – A* Revision Race: Question 2 Team: A – A* This diagram shows a plan of a room ABCD. Security sensors are installed in corners B and D. At B the sensor can detect movement a distance 10m away. The sensor at D is set up so that the two sensors will cover the whole room. Make an accurate scale drawing and use it to work out the minimum distance that the sensor at D should be set for. A and B are two buoys in the sea off the coast near Morecambe. B is 500m due east of A. (a) Use a scale of 1cm to 50m to make an accurate drawing of A and B. (b) Amy sails her boat so that she is the same distance from A as she is from B. On your diagram construct the locus of points to represent the course Amy sails.

3. Revision Race: Question 3 Team: A – A* Revision Race: Question 3 Team: A – A* Work out the radius of a cylinder of volume 340 cm³ and height 5.2 cm. The sector of a circle of radius 5 cm is subtended by an angle of 76°. Work out the area of the sector. Work out the perimeter of the sector.

4. Revision Race: Question 4 Team: A – A* Revision Race: Question 4 Team: A – A* Calculate the length of the dotted line 6cm 14cm This sector with radius 6cm and circumference 14cm is folded to make a cone. Work out the perpendicular height of the cone. Leave your answer to 1.d.p

5. Revision Race: Question 5 Team: A – A* Revision Race: Question 5 Team: A – A* Work out the size of angle BCE. Work out the size of angle SRQ.

6. A container holds 10 litres of paint A decorator needs to buy 8 gallons Given that 1 gallon = 4.5 litres, how many containers does he need? Revision Race: Question 6 Team: A – A* Revision Race: Question 6 Team: A – A* The density of another type of wood is 720 kg/m³. Calculate the mass in cubic metres of a block of this wood with the dimensions 8m by 1.5m by 0.15m.

7. Revision Race: Question 7 Team: A – A* Revision Race: Question 7 Team: A – A* A company manufactures cylindrical storage tanks of different sizes. The storage tanks are all mathematically similar. The volume of one storage tank is 500 litres. It has a base radius of 50 cm. (a) Calculate the radius of the storage tank with a volume of 4000 litres. 5cm 15cm The two cuboids are mathematically similar. The volume of the smaller one is 100cm 3, what is the volume of the larger cuboid?

8. Revision Race: Question 8 Team: A – A* Revision Race: Question 8 Team: A – A* Enlarge A by factor -2 from (-1, 1) Enlarge A by factor -2 from (-2, 1)

9. Revision Race: Question 9 Team: A – A* Revision Race: Question 9 Team: A – A* In these questions use the following formulae: v = u + at s = ut + 0.5at² v² = u² + 2as v = a final velocity; u = an initial velocity; a = acceleration; s = distance travelled; t = time elapsed Find the distance travelled after 8 seconds when the initial velocity of a ball is 11 m/s and the acceleration is 9.8m/s². In these questions use the following formulae: v = u + at s = ut + 0.5at² v² = u² + 2as v = a final velocity; u = an initial velocity; a = acceleration; s = distance travelled; t = time elapsed Find the velocity of an object which has an initial velocity of 20m/s and acceleration of 32m/s².

10. Revision Race: Question 10 Team: A – A* Team: A – A* Revision Race: Question 10 A farmer wants to fence an area of his land shown above. It has an area of 210 square metres. Show that 2x 2 + 13x + 21 = 210 What length of fencing would he need to fence the three sides? Solve the following equation, leave your answers to 1.d.p 2x² + 12x + 15 = 10 + x

11. Revision Race: Question 11 Team: A – A* Team: A – A* Revision Race: Question 11 The area of B is 50 cm². Work out the length of one side using a trial and improvement method. Give your answer correct to one decimal place. The length of a box is 3 times its depth, x. The width of the box is 2 times its depth, x. The volume of the box = 5000 cm³. Show that 6x³ = 5000. Use trial and improvement to solve the equation. Give your answer correct to 1 decimal place.

12. Revision Race: Question 12 Team: A – A* Team: A – A* Revision Race: Question 12 Calculate ‘a’ to an appropriate degree of accuracy Calculate ‘b’ to an appropriate degree of accuracy

13. Revision Race: Question 13 Team: A – A* Team: A – A* Revision Race: Question 13 Calculate PQ to 1 decimal place x Calculate angle ‘x’ giving your answer correct to 1.d.p

14. Revision Race: Question 14 Team: A – A* Team: A – A* Revision Race: Question 14 PQRT is a parallelogram PQ = a, QR = b, PT = c PQRT is a parallelogram PQ = a, QR = b, PT = c Write PR in terms of a and b Write PS in terms of a and b Write QT in terms a and c Write QS in terms a and c S S

15. Revision Race: Question 15 Team: A – A* Team: A – A* Revision Race: Question 15 If f(x) = x² sketch the graphs of the following y = f(x) + 2 y = -f(x) y = f(2x) y = f(-x)

16. QuestionAnswer Part 1Answer Part 2 1240 degrees105 degrees 2Diagram with arc of 10cm drawn at B, appropriate answer for D Diagram with perp bisector drawn 310.4cm 16.(5..) (cm²) and 16.6(3..) 460cm 5.6cm 568 degrees60 degrees 61296 kg4 containers (3.4 or close seen!) 7100cm2,700cm 3 8Correct transformation 9 401.6 (m) 660 (m/s) 10 52m x = -5.2 and x = -1.6 11X = 9.4 12 16.7 or 17° 10 (cm) 1322.485.5 14 a + b and ½(a + b) -a + b and ½(-a + b) 15 Graph translated 2 spaces in yaxis Graph reflected in x-axis Graph stretched factor ½ in x Graph reflected in y-axis