Merchant Taylors School 11 Plus Practice Paper Mamatics Online Quiz view all papers Welcome to your MERCHANT TAYLORS’ SCHOOL 11 PLUS MATHS PRACTICE PAPER - 1Time Allowed: 60 minutesInstructions:Answer as many questions as possible. Some of themare easy at the start and become more difficult. Youshould show all your working on this question paper.1. Write down what the 4 stands for in 3427 400 4000 40 40000 4 None 2. (a) What is the eighth even number? 16 14 12 10 18 None 2.(b) What is the fifth prime number? 11 13 7 5 14 None 3. What is the smallest number which can be divided by 3, 4, 5 and 6 exactly? 60 36 18 24 none of the above None 4. A child’s heart beats 80 times per minute. How many times will it beat between 05:30 and 15:30 on the same day. 48000 40000 800 42000 3600 None 5. I think of a number and multiply it by 3 and then subtract 6. If the result is 15 whatnumber was I thinking of? 7 6 15 21 35 None 6. Write down the next two terms in each of the sequences below(a) 10, 13, 16, 19, 22 25, 28 26, 30 23, 27 25,32 29 ,31 None 6.(b) 60, 59, 57, 54, 50 45, 39 44, 38 46, 40 50, 46 52, 48 None 6.(c) 1, 2, 6, 24, 120 720,5040 860,5064 720,1536 360,940 820,1440 None 7. Fill in the missing operations in the boxes(a) 2 → × 5 → → ×3 → 39 3 -3 4 -4 5 None 7.(b) 7 → → ÷3 → 5 8 -8 3 -4 -7 None 7.(c) Give both solutions:24 → × 4 → -6 → 26 ÷ 3 x 3 ÷ 4 x 4 x 5 None 8. Each pupil in a class were asked their favourite colour. The bar graph shows theseresults.(a) What was the most common favourite colour? Purple Green Pink Red Yellow None 8.(b) How many pupils were in the class? 20 18 19 14 16 None 9. The following table shows the runs that Michael scored in each of the 11 cricket matches he played for the school team.(a) What was the mean number of runs he scored per innings? 21 22 20 22.5 25 None 9.(b) What was the median number of runs scored? 15 25 35 40 10 None 10. If you roll an ordinary six sided die what is the probability of obtaining(i)(a) A six \[\frac{1}{6}\] \[\frac{1}{5}\] \[\frac{1}{4}\] \[\frac{1}{3}\] \[\frac{1}{2}\] None 10.(b) An even number \[\frac{1}{2}\] \[\frac{1}{3}\] \[\frac{1}{6}\] \[\frac{1}{4}\] \[\frac{1}{5}\] None 10.(ii)(a) If I roll the die 60 times how many times would you expect to get a 2 or 3? 20 times 40 times 30 times 50 times 60 times None 10.ii(b) If I roll a red die and a blue die together in how many different ways can I get atotal of 7? 6 5 4 3 2 None 11. Angela works for a computer firm. She is paid £10000, plus £100 for each computer she sells. How much will she earn if she sells(a) 15 computers 11500 11000 10500 10000 9500 None 11.(b) How many computers does she sell if she earns £12,600 ? 26 computers 20 computers 21 computers 25 computers 24 computers None 12. Find:(a) 20% of £840 £168 £16.8 £4200 £19 £248 None 12.(b) 12½% of 6.80 metres, giving your answer in centimetres. 85 cm 95 cm 75 cm 90 cm 65 cm None 13. Find the size of the angle, in degrees, turned by the minute hand of a clock as it movesfrom the(a) 12 to the 1 30 35 25 20 40 None 13.(b) 3 to the 7 120 110 100 180 98 None 14. The above diagram shows a solid box.(a) What is the area of the shaded face? 18 \[cm^{2}\] 36 \[cm^{2}\] 30 \[cm^{2}\] 16 \[cm^{2}\] 20 \[cm^{2}\] None 14.(b) What is the total surface area of the box? 216 \[cm^{2}\] 240 \[cm^{2}\] 312 \[cm^{2}\] 320 \[cm^{2}\] 180 \[cm^{2}\] None 15. Find ¹/3 of 2¼ \[\frac{3}{4}\] \[\frac{2}{3}\] \[\frac{1}{3}\] \[\frac{1}{12}\] \[\frac{1}{5}\] None 16. 16. None 16.(b) Plot one further point so that the shape made by joining up the four points has 4lines of symmetry and rotational symmetry order 4. Write down the co-ordinatesof the point you have plotted. (1, 1) (1, 2) (1, 7) (4, 4) (1, 5) None 17. There are 27 students in Mrs Din’s class.Mrs Din buys 4 boxes of chocolates.There are 36 chocolates in each box.She shares out the chocolates equally amongst her 27 students.(a) Work out the number of chocolates each student receives. 5 4 3 2 6 None 17.(b) Work out the number of chocolates left over. 9 11 10 13 12 None 18.From the numbers in the ring write down all the(a) square numbers 9, 64 50, 32 6, 28 15, 32 18, 32 None 18.(b) cube numbers 8, 64 41, 9 9, 32 9, 64 16, 64 None 18.(c) prime numbers 3, 41 9, 15 28, 64 8, 10 8, 12 None 18.(d) factors of 56 8, 28 50, 15 32, 6 9, 3 7, 21 None 19. Given that a = 2, b = -3 and c = 4, find the value of the following expressions:(a) 5a + 2c 18 10 12 16 24 None 19.(b) ½a² - b 5 6 4 3 2 None 19.(c) \[\frac{-4}{9}\] \[\frac{4}{9}\] 9 \[\frac{-3}{7}\] \[\frac{3}{7}\] None 20. The number of insects in a colony doubles each week. If there were 100 insects in thecolony at the start of the first week,(a) how many would there be after 6 weeks ? 6400 3600 6000 4000 4200 None 20.(b) After how many weeks would there first be more than 100 000 ? 10 weeks 20 weeks 30 weeks 15 weeks 40 weeks None 21. What are the length and width of a rectangle:(a) whose perimeter is 48 cm and whose width is one half of its length?Answer: Length %BLANK% cm Width %BLANK% cm Length 16, Width 8 Length 24, Width 12 Length 12, Width 6 Length 14, Width 7 Length 14, Width 27 None 21.(b) whose area is 48 cm2, perimeter is 32 cm and length is greater than width?Answer: Length cm Width cm Length 12, Width 4 Length 14, Width 6 Length 16, Width 8 Length 20, Width 12 Length 18, Width 8 None 21.(c) whose area is 72 cm², and width is twice its length?Answer: Length cm Width cm Length 6, Width 12 Length 8, Width 18 Length 8, Width 14 Length 10, Width 16 Length 12, Width 9 None 22. Starting with the number 6 the operation ◊3 is applied followed by the Operation Δ1to give a final answer of 1, as in this example below:6 ◊ 3 Δ 1 = 1Using the same operation for the diamond and triangle, find the missing numbers.(a) 15 ◊ 3 Δ 1 = ? ÷ , - ÷ , ÷ ÷ , + ÷ , x None of the above None 22.(b) ? ◊ 3 Δ 1 = 8 27 ÷ , - 30 ÷ , x 25 ÷ , ÷ 22 ÷ , + 24 ÷ , + None 23. John came home from his vacation at his grandmother’s with 5 books.While he was away he bought 2 books at the bookshop and got 1 bookas a present from his grandmother. During his stay at his grandmother’s,he also gave his cousin 4 books that he had finished.How many books did he take with him when he left for his holiday? 6 5 8 9 7 None 24. Here is a train timetable.(a) How many minutes should it take the train to travel from Wolverhampton toMilton Keynes? 90 50 60 70 120 None 24.(b) If the train is 35 minutes late leaving Crewe, what time should itarrive in London? 11:20 11:10 10:50 10:30 11:50 None 25. List all the positive integers less than 20 that have TWO different factors, other than 1and itself. 6,8,10,14, 15 7, 5, 3, 2, 4 4, 2, 9, 8, 10, 12 6, 3, 9, 8, 11, 15 2, 4, 9, 18, 10, 11 None 26. Mark has a market stall.He sells apples at 56p for each kilogram.Bianca buys 4 kilograms of apples.She pays for her apples with a £5 note.(a) How much change should she get? £276 £286 £424 £376 £386 None 26.Mark bought 25 melons for his stall.He paid £16 for 25 melons.(b) Work out the price Mark paid for each melon, in pence. 64 70 68 87 94 None 26.Five of the melons were bad.Mark sold the other 20 for 120p each.(c) Work out the total amount for which Mark sold the melons. 24 2400 1200 16 12 None 26.(d) Work out what profit Mark made in selling the melons, giving your answer as afraction of the cost of buying the melons. \[\frac{8]{16}\] or \[\frac{1]{2}\] \[\frac{7]{14}\] or \[\frac{1]{2}\] \[\frac{2]{32}\] or \[\frac{1]{6}\] \[\frac{4]{16}\] or \[\frac{1]{4}\] \[\frac{8]{24}\] or \[\frac{1]{3}\] None 27. Answer: u = %BLANK% v = %BLANK% w = %BLANK% \[17^{o}\] , \[43^{o}\] , \[14^{o}\] \[107^{o}\] , \[61^{o}\] , \[107^{o}\] \[102^{o}\] , \[61^{o}\] , \[19^{o}\] \[18^{o}\] , \[43^{o}\] , \[18^{o}\] \[19^{o}\] , \[53^{o}\] , \[19^{o}\] None 28. At noon the temperature is 3 degrees Celsius and it rises at a steady 1.5 degrees per hourthroughout the afternoon.(a) What will the temperature be at 1500 hrsAnswer: °C \[7.5^{o}\]C \[8.5^{o}\]C \[9^{o}\]C \[15^{o}\]C \[3.5^{o}\]C None 28. From 1800 hrs the temperature begins to fall at a steady rate so that by midnight it is−3 degrees and continues to fall at this same rate through the rest of the night.(b) What will the temperature be by 0400hrs?Answer: °C \[-13^{o}\]C \[-10^{o}\]C \[10^{o}\]C \[13^{o}\]C \[9.5^{o}\]C None 29. Yesterday was one of those days. Not only did my watch break at 10.24 a.m. but when I shook it the watch started going backwards at the correct rate. What is the real time if my watch shows(a) 10.10 a.m. 10:38 a.m 11:00 a.m 10:48 a.m 9:38 a.m 8:38 a.m None (b) 9.43 a.m. 11:00 a.m 11:10 a.m 12:00 a.m 10:10 a.m 12:10 a.m None 30. This mystery number has 4 digits. Every digit is an odd number.None of the digits is a 9.Every digit in the number is different.The smallest digit is in the thousands place.The greatest digit is in the ones place.This describes two possible numbers. The mystery number is the greater of those twonumbers. What is the mystery number? 1537 or 1357 9735 or 3579 5379 or 7359 1597 or 9751 9735 , 3579 None END OF EXAMINATIONNOW CHECK ALL OF YOUR WORK CAREFULLY Time's up
