THE KING'S SCHOOL Paper 1 by smoothmaths | Jul 26, 2020 | 0 comments Welcome to your THE KING'S SCHOOL CHESTER 11+ ENTRANCE EXAMINATION MATHEMATICS Sample Paper 1 1. Calculate the following, showing your working clearly (i) 12.31 + 1.75 14.06 13.06 29.81 1.406 1.523 None (ii) 2.76 - 1.842 0.918 0.928 1.918 1.122 1.223 None (iii) 128 x 47 6016 1408 6066 6916 6716 None (iv) 110 x 0.2 22 220 0.22 2.2 112 None 2. Place the following numbers in order of size from smallest to largest: 4.2101 4.1021 4.0121 4.0211 4.0121,4.0211,4.1021,4.2101 4.0121,4.1021,4.0211,4.2101 4.0211,4.0121,4.1021,4.2101 4.1021,4.0121,4.0211,4.2101 4.2101,4.1021,4.0211,4.0121 None 3. Circle the amounts below which can be made using three UK coins 71p 72p 73p 74p 75p 71p,72p,75p 71p,73p,75p 71p,74,75p 72p,73p,75p 73p,74p,75p None 4. Divide 623 by 8, giving your answer and the remainder. answer=77,remainder=7 answer=77,remainder=6 answer=78,remainder=7 answer=77,remainder=4 answer=72,remainder=6 None 5. Complete the boxes with +, - , x , ÷ to make the statements correct. The first one has been done for you as an example. (i) 21 ———— 3 = 5 ———— 2 ÷,+ ÷,- ÷,x x,+ x,÷ None (ii) 18 ———— 6 = 120 ———— 12 x,- x,+ ÷ ,x x,÷ ÷ ,+ None 6. (i) Round 12.7 to the nearest whole number 13 12 11 14 none of the above None (ii) Round 44 350 to the nearest 1000 44000 4400 440 40000 4000 None 7. Two of the shapes below fit together to make a square. Which are they? D&E A&F C&B B&F C&E None 8. Write these fractions in order of size from the smallest to the largest. \[\frac{1}{2}\] \[\frac{3}{8}\] \[\frac{1}{3}\] \[\frac{5}{12}\] \[\frac{7}{24}\] \[\frac{7}{24}\] \[\frac{1}{3}\] \[\frac{3}{8}\] \[\frac{5}{12}\] \[\frac{1}{2}\] \[\frac{7}{24}\] \[\frac{3}{8}\] \[\frac{1}{3}\] \[\frac{5}{12}\] \[\frac{1}{2}\] \[\frac{1}{3}\] \[\frac{7}{24}\] \[\frac{3}{8}\] \[\frac{5}{12}\] \[\frac{1}{2}\] \[\frac{3}{8}\] \[\frac{1}{3}\] \[\frac{7}{24}\] \[\frac{5}{12}\] \[\frac{1}{2}\] \[\frac{1}{2}\] \[\frac{1}{3}\] \[\frac{3}{8}\] \[\frac{5}{12}\] \[\frac{7}{24}\] None 9. Write down the next term for each of these sequences. (i) 3 7 11 15 ———— 19 20 17 21 18 None (ii) 303 300 297 294 ———— 291 292 290 289 288 None (iii) 1 1 2 3 5 8 ———— 13 14 12 10 16 None Find the 100th term of the sequence in part (ii). 6 3 2 5 4 None 12. Alice makes a die from the net below. Which number will be opposite (i) The number 1 Answer: 3 4 6 2 5 None (ii) The number 2 4 6 3 2 5 None 13. Mayur is making vegetable soup. \[\frac{1}{3}\] of the soup is made from carrots \[\frac{1}{2}\]is made from lentils \[\frac{1}{12}\]is made from parsnips The rest is made from tomatoes. If he makes 600g of soup in total, (i) How much carrot does he need? 200g 300g 50g 100g 400g None (ii) How much tomato does he need? 50g 500g 200g 300g 100g None 14. James counts down in 9’s starting from 345 until he passes zero. Which will be the last positive number which he counts? 3 6 9 2 1 None 15. A website advertises that, as a special offer, a new mobile phone game will cost 40% less to download next week. If the game costs 80p this week, how much will it cost next week? 48p 58p 38p 32p 40p None 16. 3 x’s balance with 10 y’s. If one x weighs 1.5g, how much does one y weigh? 0.45g 45g 0.045g 0.35g 4.5g None 17. Work out the value of the angle labelled x in the diagram below. The diagram is NOT drawn to scale. 78 60 80 120 180 None 18. The graph shows the number of people living in Puddletown from 1950 onwards. (i) How many people lived in Puddletown in 1955? 30000 35000 25000 28000 32000 None (ii) In which other year was the number of people the same as in 1960? 1985 1980 1982 1970 1975 None (iii) When did the population first fall below 30 000? 1955 1950 1960 1965 1970 None 19. In a lucky dip there are 10 envelopes. 6 envelopes contain a note saying “Better luck next time!” The other 4 envelopes contain prizes: One contains £1 One contains £2 One contains £5 One contains £10 (i) Nina pulls one envelope from the lucky dip. What is the probability that she has won a prize? 44232 44296 44199 44201 both a&b None (ii) Find the mean average of £1, £2, £5 and £10. £ 4.5 £ 3.2 £ 4 £ 3 £ 2.5 None 20. Jack has thought of two numbers. When he multiplies them together he gets 96. When he takes one number away from the other, he gets 4. What are the two numbers? 8,12 24,3 16,6 4,8 10,6 None 21. A farmer wants to put a fence along one edge of his field, which is 480m long. Every 4m, a post is needed to hold the rails up. How many posts does he need? 121 120 111 1920 110 None 22. i) Find the perimeter of the shape above. 68cm 48cm 58cm 61cm 56cm None (ii) Find its area. 138\[cm^{2}\] 3\[cm^{2}\] 148\[cm^{2}\] 180\[cm^{2}\] 130\[cm^{2}\] None 23. ABCD is a kite. Write down the coordinates of vertex D. (5,2) (5,6) (5,4) (2,5) (3,5) None 24. How many minutes are there from 11:11 until 23:23 on the same day? 732mins 720mins 632mins 84mins 750mins None 25. In Matt’s pocket there are 8 watermelon jellybeans, 4 vanilla jellybeans and 4 butter popcorn jellybeans. What is the smallest number of jellybeans that he must take out of his pocket to be certain that he takes at least one of each flavour? 13 16 10 12 3 None Time's up
