The Perse School Year 7 Entrance Exams Maths Specimen 1 Online Quiz view all papers Welcome to your THE PERSE SCHOOL 11+ Year 7 Entrance Exams Maths Specimen Paper 11. Write the missing number in the space provided. 56 ÷ _____ = 8 7 5 6 8 9 None 2. Here is a number sequence. Write in the missing number. 3 6 10 15 ______ 21 19 24 22 20 None 3. The diagram below shows a triangle [not drawn to scale]. Calculate each of the angles marked x and y. x =_____°, y =_____° x = 117° , y = 29° x = 110° , y = 45° x = 120° , y = 30° x = 117° , y = 49° x = 115° , y = 27° None 4. Change 0.72 to a fraction leaving your answer in its simplest form \[\frac{18}{25}\] \[\frac{72}{100}\] \[\frac{7}{2}\] \[\frac{2}{7}\] Both 'a' & 'b' None 5. Calculate each of the following (a) 3-2 \[\frac{5}{9}\] \[\frac{4}{9}\] \[\frac{2}{9}\] \[\frac{3}{9}\] \[\frac{5}{9}\] \[\frac{20}{9}\] None (b) 2+4 x \[\frac{3}{5}\] \[\frac{22}{5}\] \[\frac{2}{5}\] \[\frac{2}{9}\] 2\[\frac{1}{2}\] Both 'a' & 'b' None 6. My garden centre sells Summer bedding plants at 85p each. I have £30 to spend. How many plants can I buy? Show your working. 35 34 33 36 38 None 7. Write in what the two missing digits could be: _____ 34 + ____ 97 = 631 0 , 5 1, 4 2, 3 1, 3 All of the Above except 'd' None 8. Brian has 7 dominoes in a bag. He takes out one domino and finds the total of the two numbers. He then puts the domino back in the bag. His 7 dominoes are shown below, together with a graph of his results after doing this experiment 100 times. None (a) Explain why the total 7 never came up. because no dominoes with a total of 7 spots because All dominoes with a total of 7 spots because only 1 dominoes with a total of 7 spots because more dominoes with a total of 8 spots None of the Above None (b) Explain why the total of 6 came up most often. because more dominoes with a total of 6 spots because more dominoes with a total of 8 spots because more dominoes with a total of 4 spots because no dominoes with a total of 7 spots None of the Above None 9. Write in the missing numbers to each of the following: (a) 93 - _____ - 18 = 36 39 19 29 49 None of the Above None (b)( 8 + ____ ) x 7 = 91 5 4 6 3 7 None 10. Which of the following fractions is closet to \[\frac{1}{4}\] \[\frac{11}{40}\] \[\frac{16}{60}\] \[\frac{21}{80}\] \[\frac{26}{100}\] \[\frac{31}{120}\] \[\frac{1}{120}\] \[\frac{26}{100}\] \[\frac{21}{80}\] \[\frac{16}{60}\] 14916 None 11. Susan is making a necklace of beads, using red and yellow beads in the ratio 2 : 3. She has 56red beads altogether. How many yellow beads will she need:How many beads will she use altogether? 84 yellow beads & 140 beads altogether 64 yellow beads & 120 beads altogether 94 yellow beads & 136 beads altogether 74 yellow beads & 130 beads altogether 84 yellow beads & 1150 beads altogether None 12. The three numbers missing from these boxes are all prime numbers. Write in the missing numbers. ______ X _____ X _____ = 385 5, 7, 11 7, 6, 12 5, 8, 13 7, 9, 11 None of the Above None 13. Brian is looking at the schedule of TV programmes for that evening. Brian watches the film on ITV but after 1/2 an hour he changes channel to BBC 1. What is showing on BBC 1 when he changes channel? Top of the Pops News Drama Sports Neighbours None The Drama on BBC 1 lasts for 1 hour and 40 minutes. At what time does it end? 11:05 11:15 11:00 11:25 10:55 None 14. Make a list of all the whole numbers which leave a remainder of 7 when divided into 46. 13, 39 17, 41 13, 41 11, 39 19, 41 None 15. The charge £C made by a caterer for arranging a birthday party for n people is given by theformula: C = 3n +40 (a) What is the charge, in £, for a party of 20 people? £100 £60 £80 £120 £110 None (b) What is the average cost per person for a party of 20 people? £5 £3 £10 £4 £8 None 16. Study the graph below: The co-ordinates of A, B and C are: A (3 , 1) ; B (6 , 2) ; C (12 , 4) The value of D (not shown) also lies on this line. If D is (15 , a), what is the value of a? E is another point (not shown) o this line and E is (b , 8). What is the value of b? If (p , q) is another point on this same line, write down a relationship (equation) between p and q. a = 5, b = 24, p = 3q a = 3, b = 15, p = 4q a = 6, b = 24, p = 3q a = 4, b = 12, p = 5q None of the Above None 17. Find the value of each of the following: (a) 68.9 + 9.86 78.76 77.76 68.76 67.67 None of the Above None (b) 321 - 268 53 23 33 43 63 None (c) 391 x 7 2737 2237 2137 2637 None of the Above None (d) 656 ÷ 8 82 52 72 62 42 None 18. Brian starts with 1000 and subtracts 11 each time. The first four numbers in his sequence are: 1000, 989, 978, 967 If he continues in this way, what will be the first negative number in his sequence? -1 0 10 1 -10 None 19. Find the missing numbers so that the answer is always 56 a = ? b = ? c = ? d = ? e = ? a = 75, b = 39, c = 112, d =10, e = 168 a = 65, b = 36, c = 110 , d =12, e = 172 a = 85, b = 29, c = 114, d = 9, e = 170 a = 45, b = 49, c = 121, d = 11, e = 175 None of the Above None 20. Two rectangles ABCD and PQRS are shown below: Calculate the shaded area. 13\[cm^{2}\] 16\[cm^{2}\] 10\[cm^{2}\] 12\[cm^{2}\] 9\[cm^{2}\] None Time's up
