MERCHANT TAYLORS’ SCHOOL 11 PLUS MATHS PRACTICE PAPER – 1 by smoothmaths | Jul 1, 2020 | 0 comments Welcome to your MERCHANT TAYLORS’ SCHOOL 11 PLUS MATHS PRACTICE PAPER - 1 Time 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 3427400400040400004 2. (a) What is the eighth even number?1614121018 2.(b) What is the fifth prime number?11137514 3. What is the smallest number which can be divided by 3, 4, 5 and 6 exactly?60361824none of the above 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.4800040000800420003600 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?76152135 6. Write down the next two terms in each of the sequences below(a) 10, 13, 16, 19, 2225, 2826, 3023, 2725,3229 ,31 6.(b) 60, 59, 57, 54, 5045, 3944, 3846, 4050, 4652, 48 6.(c) 1, 2, 6, 24, 120720,5040860,5064720,1536360,940820,1440 7. Fill in the missing operations in the boxes(a) 2 → × 5 → → ×3 → 393-34-45 7.(b) 7 → → ÷3 → 58-83-4-7 7.(c) Give both solutions:24 → × 4 → -6 → 26÷ 3x 3÷ 4x 4x 5 8. Each pupil in a class were asked their favourite colour. The bar graph shows theseresults.(a) What was the most common favourite colour?PurpleGreenPinkRedYellow 8.(b) How many pupils were in the class?2018191416 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?21222022.525 9.(b) What was the median number of runs scored?1525354010 10. If you roll an ordinary six sided die what is the probability of obtaining(i)(a) A six\[\frac{1}{6}\]\[\frac{1}{5}\]\[\frac{1}{4}\]\[\frac{1}{3}\]\[\frac{1}{2}\] 10.(b) An even number\[\frac{1}{2}\]\[\frac{1}{3}\]\[\frac{1}{6}\]\[\frac{1}{4}\]\[\frac{1}{5}\] 10.(ii)(a) If I roll the die 60 times how many times would you expect to get a 2 or 3?20 times40 times30 times50 times60 times 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?65432 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 computers115001100010500100009500 11.(b) How many computers does she sell if she earns £12,600 ?26 computers20 computers21 computers25 computers24 computers 12. Find:(a) 20% of £840£168£16.8£4200£19£248 12.(b) 12½% of 6.80 metres, giving your answer in centimetres.85 cm95 cm75 cm90 cm65 cm 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 13035252040 13.(b) 3 to the 712011010018098 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 \[cm^{2}\] 14.(b) What is the total surface area of the box?216 \[cm^{2}\]240 \[cm^{2}\]312 \[cm^{2}\]320 \[cm^{2}\]180 \[cm^{2}\] 15. Find ¹/3 of 2¼\[\frac{3}{4}\]\[\frac{2}{3}\]\[\frac{1}{3}\]\[\frac{1}{12}\]\[\frac{1}{5}\] 16. (a) On the graph plot the following points (2, 4) , (1 , 7) and (4 , 4) 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) 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.54326 17.(b) Work out the number of chocolates left over.911101312 18.From the numbers in the ring write down all the(a) square numbers9, 6450, 326, 2815, 3218, 32 18.(b) cube numbers8, 6441, 99, 329, 6416, 64 18.(c) prime numbers3, 419, 1528, 648, 108, 12 18.(d) factors of 568, 2850, 1532, 69, 37, 21 19. Given that a = 2, b = -3 and c = 4, find the value of the following expressions:(a) 5a + 2c1810121624 19.(b) ½a² - b56432 19.(c) \[\frac{-4}{9}\]\[\frac{4}{9}\]9\[\frac{-3}{7}\]\[\frac{3}{7}\] 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 ?64003600600040004200 20.(b) After how many weeks would there first be more than 100 000 ?10 weeks20 weeks30 weeks15 weeks40 weeks 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% cmLength 16, Width 8Length 24, Width 12Length 12, Width 6Length 14, Width 7Length 14, Width 27 21.(b) whose area is 48 cm2, perimeter is 32 cm and length is greater than width?Answer: Length cm Width cmLength 12, Width 4Length 14, Width 6Length 16, Width 8Length 20, Width 12Length 18, Width 8 21.(c) whose area is 72 cm², and width is twice its length?Answer: Length cm Width cmLength 6, Width 12Length 8, Width 18Length 8, Width 14Length 10, Width 16Length 12, Width 9 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 = ?÷ , -÷ , ÷÷ , +÷ , xNone of the above 22.(b) ? ◊ 3 Δ 1 = 827 ÷ , -30 ÷ , x25 ÷ , ÷22 ÷ , +24 ÷ , + 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?65897 24. Here is a train timetable.(a) How many minutes should it take the train to travel from Wolverhampton toMilton Keynes?90506070120 24.(b) If the train is 35 minutes late leaving Crewe, what time should itarrive in London?11:2011:1010:5010:3011:50 25. List all the positive integers less than 20 that have TWO different factors, other than 1and itself.6,8,10,14, 157, 5, 3, 2, 44, 2, 9, 8, 10, 126, 3, 9, 8, 11, 152, 4, 9, 18, 10, 11 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 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.6470688794 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.24240012001612 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 \[\frac{1]{3}\] 27. Answer: u = %BLANK% v = %BLANK% w = %BLANK%\[17^{o}\] , \[43^{o}\] , \[14^{o}\]\[107^{o}\] , \[61^{o}\] , \[107^{o}\]\[102^{o}\] , \[61^{o}\] , \[19^{o}\]\[18^{o}\] , \[43^{o}\] , \[18^{o}\]\[19^{o}\] , \[53^{o}\] , \[19^{o}\] 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 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 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.m11:00 a.m10:48 a.m9:38 a.m8:38 a.m (b) 9.43 a.m.11:00 a.m11:10 a.m12:00 a.m10:10 a.m12:10 a.m 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 13579735 or 35795379 or 73591597 or 97519735 , 3579 31. 2 packets of crisps and 2 drinks costs £1.50. 2 packets of crisps and 1 drink costs £1.10.What would it cost me if I buy 3 packets of crisps and 4 drinks? END OF EXAMINATIONNOW CHECK ALL OF YOUR WORK CAREFULLY Time is Up!