CHRISTS HOSPITAL 13+ Paper 1 by smoothmaths | Sep 7, 2020 | 0 comments Welcome to your CHRIST'S HOSPITAL 13+ Entrance Examination Paper 1. (a) Write the number 18.0663 correct to 2 decimal places.18.0718.0618.0518All of the Above (b) Write the number 10.234 correct to 3 significant figures .10.210.110.310.23All of the Above 2. Find two numbers that add up to give —12 and multiply together to make 32 .-4 & -84 & -8-4 & 8All of the AboveNone of the Above 3. Write 8 x 8 x 8 x 8 using power (index) notation.84488285None of the Above 4. Find the Lowest Common Multiple (LCM) of 24 and 30.12030604024 5.“If the Highest Common Factor of two whole numbers is 1, then each of those two numbers must be a prime number.” Is this statement TRUE or FALSE?Each of two numbers are PrimeOne of two must sould be PrimeNone of those numbers should be primeBoth of those should be even numberBoth of those should be odd number 6. Which one of these is closest in value to 7? \[\sqrt{35}\] \[\sqrt{40}\] \[\sqrt{45}\] \[\sqrt{50}\] \[\sqrt{55}\]√50√45√35√40√55 7. Write 360 as a product of its prime factors. (You may wish to use a factor tree.)23 x 32 x 523 x 33 x 52 x 3 x 522 x 32 x 5None of the Above 8. Fill in the missing numbers to make a regular sequence: 21 315 & 918 & 912 & 812 & 99 & 6 9. Write a rule for the n-th term of the sequence 9, 14, 19, 24, 29, ...4 + 5n5 + 4n4 - 5n5 - 4nNone of the Above 10. Find the values of the angles marked a, b, c. a = 66oa = 68oa = 60oa = 72oa = 56o b=b = 66ob = 76ob = 45ob = 60ob = 86o c=c= 132oc= 120oc= 157oc= 130oc= 132o 11. Find the values of the angles marked d and e. d = 75od = 60od = 45od = 70oNone of the Above e=e= 105oe= 120oe= 135oe= 110oNone of the Above 12. A line is drawn from the point A (1, 6) to the point B (9, 2). M is the midpoint of AB. Find the coordinates of M. (5,4)(4,2)(1,2)(5,3)None of the Above 13. A machine produces large numbers of toy coins, in 5, 10, 20 and 50 pence values. The machine does not produce equal numbers of each value. A randomly chosen coin made by the machine will have a value as shown on the table below. One item of information is missing from the table. Value, pence 5 10 20 50 Probability 0.4 0.3 0.2 One coin is chosen at random. Find the probability that it has a value of: (a) 500.10.30.50.41 (b) 10 or 200.50.30.20.10.4 (c) not 5 0.60.30.20.50.4 (d) 40 coins from this machine are chosen at random. Work out an estimate for the number of 10 pence coins chosen.12842024 14. Work out \[\frac{2}{3}\] + \[\frac{1}{4}\] Show all of your working clearly11/123/75/127/12None of the Above 15. Find 95% of 600.570500370480550 16. Express 11 as a percentage of 20.55%40%60%70%65% 17. Work out 7\[\frac{1}{2}\] - 2 \[\frac{2}{3}\] Show all of your working clearly, and give your answer as a mixed fraction.4 5/65 1/55 4/61 4/59 3/5 18. Alan wishes to decrease £140 by 10%. Which one of these is a correct calculation to achieve this? Put a tick alongside the correct calculation.A. 140 x 0.1B. 140 x 0.9C. 140 ÷ 1.1D. 140 x 1.1E.140 ÷ 0.1 19. Draw the reflection of the letter T shape in the given mirror line. 20. Expand and simplify: (a) 6(4x + 3)24x + 1810x + 927x + 2224x + 12None of the Above (b) 2(x + 7) + 5(2s — 3)12x -112x + 2512x +110x -812x - 25 (c) 10a — 2(z + 3)8x-612x+68x+610x - 4None of the Above Copy and complete, filling in the two gaps represented by the blocks ☐:(d) ☐(5x + ☐) = 30x + 126 & 23 & 45 & 26 & 3None of the Above 21. Solve the equation 5x + 7 - 2x + 31 You must show your working8645None of the Above 22. Here is a quadrilateral. It is not drawn to scale. (a) Find the value of x .3045604035 (b) Work out the value of the largest angle in the quadrilateral .130120110140150 23. One of these points lies on the line with equation y = 3x + 1. Which one is it? (1, 3) (2, 8) (3, 9) (4, 13) (5, 14)(4,13)(5,14)(3,9)(2,8)(1,3) 24. (a) Find the area of this rectangle. State the units. 6656867644 (b) Find the volume of this cuboid. State the units. 90306080None of the Above 25. Here is a number machine. (a) Find the output y if the input x is 12.2124222320 (b) Use algebra to write a rule in the form y2x-3x-33x-22x+3x+3 26. Here are the ages, in years, of 8 adults: 21, 21, 21, 22, 22, 24, 25, 28 Their ages add up to a total of 184 years. (a) Work out the mean of their ages.2324222120 (b) Write down the mode of their ages.2122242528 (c) Work out the median of their ages.2221222320 27. You are given that 247 X 43 = 10621 (a) Use this information to work out 2.47 X 4.310.6211.06210.1621106.21None of the Above (b) Use this information to work out 106210 ÷ 430024.723.522.825.7None of the Above 28. Find the next two terms in each of these number sequences : (a) 12, 15 , 18 , 21 , 24 , ____ , ____27, 3028, 3226, 2829, 3525, 26 (b) 1 , 3 , 6 , 10 , ____ , ____15, 2114, 2016, 2217, 2318, 24 (c) 2, 8 , 18 , 32 , 50 , ____ , ____72, 9862, 8882, 10852, 7842, 68 (d) 1 , 8, 27 , 64 , ____ , ____125, 261144, 169125,144125, 169169,261 Time is Up!
