Aldenham School13 + Entrance Paper Sample Paper Online Quiz view all papers Welcome to your ALDENHAM SCHOOL 13 + Entrance Paper SAMPLE PAPER 21.(a) What is the square root of 81? 9 3 18 81 Both a & b None (b) Work out 596 x 23 13708 12608 13608 12708 13798 None 2. Emiliano asked 10 of his friends how many hours they spent using a computer each week. The results are as follows. 8 14 20 5 0 14 9 17 3 10 (a) Find the median of these numbers. 9.5 19 10 5 4.5 None (b) Find the range of these numbers 20 10 17 14 None of the Above None 3. Write 0.5, 48% and \[\frac{9}{20}\] in order of size starting with the smallest. You must show your working. 9/20, 48%, 0.5 0.5, 48%, 9/20 48%, 0.5, 9/20 9/20, 0.5, 48% None of the Above None (ii) How many tiles are in Pattern 12? 38 34 36 48 None of the Above None (c) There are 317 tiles in Pattern 105. How many tiles are in Pattern 104? 314 311 317 320 None of the Above None (d) Find a rule linking the pattern number (n) and the number of tiles (N). 3n + 2 3n 2n + 3 n + 2 n + 3 None 6.(a) Work out the size of angle x. x = 138o 148o 142o 132o 144o None (b) Xavier says that if this diagram was drawn accurately then ABC would be a straight line. Is he right? You must explain your answer. Xavier is not right Xavier is right Xavier is not right None 7.(a) Share £320 in the ratio 2 : 3 £128 : £192 £160 : £106 £800: £533 £64 : £64 All of the Above except 'a' None (b) Work out:\[3\frac{2}{5}+4\frac{3}{10}=\] 7\[\frac{7}{10}\] 7\[\frac{1}{3}\] 1\[\frac{1}{3}\] 8\[\frac{3}{7}\] Both b & c None (c) Work out and simplify.\[\frac{3}{4} × \frac{2}{7}=\] 3/14 3/8 7/11 4/7 Both a & b None (d) A bracelet is made using only silver and gold, in the ratio is 5 : 3. What fraction of the bracelet is composed of gold? 3/8 3/4 1/4 1/3 3/3 or 1 None 8. Solve the equations: (a) 5n + 7 = 52 n = ? 9 6 10 8 None of the above None (b) 5p - 6 = 2p + 18 p = ? 8 4 20 6 9 None 10. (a) Simplify 5c + 4c – c 8c 9c 6c None of the above All of the Above except 'a' None (b) Simplify 7x + 2y – 3x – 5y 4x - 3y 9x - 8y 7x - 3y 4x + 3y None of the above None 11. This shape is made up of rectangles. (a) Write down an expression, in terms of x and y, for the perimeter of the shape. 2(3x + 5y) 5(x + 2y) 3(2x + 3y) 4(x + 2y) None of the above None (b) If x = 2 cm and y = 5 cm, find the area of the shape 70 40 30 20 None of the above None 13. Here is a formula relating the quantities A, x and y. A = [\y^{3}\] + 4x (a) Work out the value of A when y = 5 and x = −10. 85 165 125 Both a & b None of the above None (b) Work out the value of x if A = 20 and y = 2 3 7 12 4 Both a & b None 14. The diagram shows two parallel lines with a straight line crossing them diagonally. Work out the value of: (a) angle x°, giving your reason 35o 45o 60o 30o None of the above None (b) angle y°, giving your reason 145o 125o 120o 150o None of the above None (15) Factorise the expression 4x + 10 2(2x + 5) 2(x + 5) 4(x + 5) Both a & b None of the above None 16. On her way to work Mrs Shah passes through three sets of traffic lights. She records the number of times she stops at traffic lights each day.Number of stops each dayFrequency(number of days) 02 111 212 315 What is the mean number of stops per day? 2 8 3 4 6 None 17.(a) A bike costs £130. Its price is reduced by 15% in a sale. Find the sale price. £110.5 £149.5 £100.5 £120.5 £115.5 None (b) Dany, Claire and Ollie are having a debate. Dany says that if you increase an amount by 20% and then decrease it by 20% that you will end up with your original amount. Ollie says that it will be less. Claire says that it will be more. Who is correct? Explain your answer. Ollie is correct Claire is correct Ollie is not correct Claire is not correct None of the above None 18. (a) 30 students from Year 7 are asked how they travel to school. Their replies, walk (W), bus (B) or car (C), are shown below. C C B W B W C B W C B B W W W C W C B B W W B W B W B W W C (i) Complete the tally column and the frequency column in the table TallyFrequencyWalk (W) Bus (B) Car (C) Total 30 ||||| ||||| ||| & 13 ||||| |||| & 9 ||||| ||||| || & 12 ||||| ||||| & 10 None of the above None (ii) Which reply is the most common? Walk Bus Car Both a & b None of the above None (iii) What fraction of the students travel by bus? 1/3 2/3 7/30 13/30 None of the above None (b) 30 students from Year 11 are also asked how they travel to school. Their results are shown in the table. FrequencyWalk (W)13Bus (B)14Car (C)3 Total 30 More People from year11 travel in Bus Less People from year7 travel in Bus Less People from year11 travel in Bus More People from year 7 travel in Bus Both a & b None Compare how Year 7 and Year 11 travel to school.(i) Write down one difference. More People from year11 travel in Bus Less People from year7 travel in Bus Less People from year11 travel in Bus More People from year 7 travel in Bus Both a & b None (ii) Write down one similarity. Equall Number of People go by Walk Equall Number of People go by Bus Equall Number of People go by Car Equall Number of People go by Van None of the above None 19. Calculate the length of the side x. 13 12 5 11 None of the above None 20. Susan completes a journey in two stages. In stage 1 of her journey, she drives at an average speed of 80 km/h and takes 1 hour 45 minutes. (a) How far does Susan travel in stage 1 of her journey? 140km 60km 100km 80km 120km None (b) Altogether, Susan drives 190 km and takes a total time of 2 hours 15 minutes. What is her average speed, in km/h, in stage 2 of her journey? 100km 180km 60km 80km 120km None 21. Two families go to a pantomime. The James family of two adults and one child pay £36. The Irish family of three adults and three children pay £66. Work out the cost of an adult ticket and the cost of a child ticket. Adult Ticket = £14 Adult Ticket = £10 Adult Ticket = £16 Adult Ticket = £12 Adult Ticket = £8 None Child ticket £ Child Ticket = £8 Child Ticket = £2 Child Ticket = £9 Child Ticket = £6 Child Ticket = £14 None 22. A local bike shop is having a 20% off sale on all of its bikes. Ben buys a bike for £432 in the sale. (a) How much would his bike have cost without the discount? £540 £480 £450 £640 £650 None (b) Ben’s new bike has a wheel diameter of 40cm. Roughly how many revolutions will each wheel make if he cycles for 1 km? 796.1 1591.5 1256.6 125.6 None of the Above None Time's up
