ELTHAM COLLEGE PAPER 2 by smoothmaths | Jun 22, 2020 | 0 comments Welcome to your ELTHAM COLLEGE 11+ PAPER 2 1. What is the difference between the largest and the smallest of the following numbers: 0.9, 0.17, 0.72, 0.73 0.73 0.17 0.72 0.9 none of the above None 2. What is the smallest four-digit positive integer which has four different digits? 1023 1021 1234 1032 1041 None 3. What is (999 – 99 + 9) ÷ 9 ? 101 100 99 109 105 None 4. Each block shown in this tower will have a number displayed on it. Some are already done.For each block above the bottom row, the number on it is the sum of the numbers on the two blocks it stands upon. What number should replace n? 11 10 6 13 14 None 5. The number 987 654 321 is multiplied by 9. How many times does the digit 8 occur in the result? 9 1 2 3 4 None 6. Which of the following has the same remainder when it is divided by 2 as when it is divided by 3? 7 5 9 11 6 None 7. What is the value of 19 + 99 + 19 × 99? 1999 11 701 13 563 1881 none of the above None 8. In this diagram, what is the value of x? 64 36 100 144 121 None 9. How many triangles of any size are there in this diagram? 12 10 8 14 6 None 10. Which of these calculations produces a multiple of 5? 1 + 2 × 3 + 4 1 × 2 + 3 × 4 1 + 2 × 3 × 4 1 × 2 × 3 × 4 1+2+3+4 None 11. It was reported recently that in an average lifetime of 70 years, each human is likely to swallow about 8 spiders while sleeping. Supposing that the population of the UK is around 60 million, what is the best estimate of the number of spiders that are consumed in this way in the UK each year? 7 000 000 6000 000 80 000 000 900 000 000 100000 None 12. Which of the following is divisible by all of the numbers from 1 to 10 inclusive? 45 × 56 35 x 27 56 × 27 67 × 78 17 x 28 None 13. Which one of these calculations is incorrect? 9x6+73=96+7x3 2x5+69=25+6x9 3x7+48=37+4x8 4x5+67=45+6x7 4x3+24=43+2x4 None 14. If the following fractions are arranged in increasing order of size, which one is in the smallest? \[\frac{1}{2}\] \[\frac{3}{5}\] \[\frac{4}{7}\] \[\frac{5}{9}\] \[\frac{1}{3}\] None 15. In the sequence which begins 2, 3, 5, 10, … each number after the second is the sum of all the previous numbers in the sequence. What is the 10th number in the sequence? 640 170 47 1280 576 None 16. Which of the following calculations is correct for the area of the shape? 9 × 10 – 6 × 4 10 × 5 + 9 × 6 10 x 5+ 9 x 7 10 x 6+ 9 x 5 all of the above None 17. When x = 1.5 what is the value of the perimeter of this triangular area? 12.5 12 13 13.5 14 None 18. Kieran thinks of a number. He doubles it and adds 6. He then divides it by 2. The answer is 8. What was his original number? 5 11 20 -2 10 None 19. I choose three numbers from this number square, including one number from each row and one number from each column.I then multiply the three numbers together. What is the largest possible product? 105 96 162 504 223 None 20. A swimming pool has a length that is four times its width.The length and width are both multiples of 5. The perimeter is less than 150m. How many different widths could it have? Answer: 5 10 12 15 16 None 21. The numbers from 1 to 9 inclusive are to be placed, one number in each square, in to the shape shown below, so that the total of the three numbers in each of the four lines is the same. Which number should replace * ? 7 6 5 4 3 None 22. In this word sum – each letter represents a different digit. What digit does each letter represent? Answer: F=4,O=6,U=5,R=9,T=1,H=3,E=7 F=3,O=6,U=2,R=9,T=1,H=3,E=6 F=4,O=5,U=7,R=9,T=1,H=3,E=8 F=4,O=6,U=5,R=9,T=2,H=4,E=9 F=5,O=6,U=8,R=5,T=1,H=3,E=7 None Time's up
