THE PERSE SCHOOL Paper 1 by smoothmaths | Jul 27, 2020 | 0 comments Welcome to your THE PERSE SCHOOL 11+ Year 7 Entrance Exams Maths Specimen Paper 1 1. Write the missing number in the space provided. 56 ÷ _____ = 875689 2. Here is a number sequence. Write in the missing number. 3 6 10 15 ______2119242220 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° 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' 5. Calculate each of the following (a) 3-2 \[\frac{5}{9}\]\[\frac{4}{9}\]\[\frac{2}{9}\]\[\frac{3}{9}\]\[\frac{5}{9}\]\[\frac{20}{9}\] (b) 2+4 x \[\frac{3}{5}\]\[\frac{22}{5}\]\[\frac{2}{5}\]\[\frac{2}{9}\]2\[\frac{1}{2}\]Both 'a' & 'b' 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.3534333638 7. Write in what the two missing digits could be: _____ 34 + ____ 97 = 6310 , 51, 42, 31, 3All of the Above except 'd' 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. (a) Explain why the total 7 never came up.because no dominoes with a total of 7 spotsbecause All dominoes with a total of 7 spotsbecause only 1 dominoes with a total of 7 spotsbecause more dominoes with a total of 8 spotsNone of the Above (b) Explain why the total of 6 came up most often.because more dominoes with a total of 6 spotsbecause more dominoes with a total of 8 spotsbecause more dominoes with a total of 4 spotsbecause no dominoes with a total of 7 spotsNone of the Above 9. Write in the missing numbers to each of the following: (a) 93 - _____ - 18 = 3639192949None of the Above (b)( 8 + ____ ) x 7 = 9154637 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 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 altogether64 yellow beads & 120 beads altogether94 yellow beads & 136 beads altogether74 yellow beads & 130 beads altogether84 yellow beads & 1150 beads altogether 12. The three numbers missing from these boxes are all prime numbers. Write in the missing numbers. ______ X _____ X _____ = 3855, 7, 117, 6, 125, 8, 137, 9, 11None of the Above 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 PopsNewsDramaSportsNeighbours The Drama on BBC 1 lasts for 1 hour and 40 minutes. At what time does it end?11:0511:1511:0011:2510:55 14. Make a list of all the whole numbers which leave a remainder of 7 when divided into 46.13, 3917, 4113, 4111, 3919, 41 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 (b) What is the average cost per person for a party of 20 people? £5£3£10£4£8 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 = 3qa = 3, b = 15, p = 4qa = 6, b = 24, p = 3qa = 4, b = 12, p = 5qNone of the Above 17. Find the value of each of the following: (a) 68.9 + 9.8678.7677.7668.7667.67None of the Above (b) 321 - 2685323334363 (c) 391 x 72737223721372637None of the Above (d) 656 ÷ 88252726242 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?-10101-10 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 = 168a = 65, b = 36, c = 110 , d =12, e = 172a = 85, b = 29, c = 114, d = 9, e = 170a = 45, b = 49, c = 121, d = 11, e = 175None of the Above 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\[cm^{2}\] Time is Up! Time's up