Dulwich College 11 Plus Maths Specimen Paper 1 by smoothmaths | Jun 21, 2020 | 0 comments Welcome to your Dulwich College 11 Plus Maths Specimen Paper 1 Answer all the questions.Do all your written work on this paper.Calculators must not be used.Numbers in square brackets are the number of marks available.There are 100 marks in total. WORK OUT THE FOLLOWING (SHOW YOUR WORKING) 1. 254 + 63 + 108 Answer:425415315325None of the Above 2. 327 −119 Answer:208212218108118 3. 57 × 28 Answer:15961496144615461556 4. 62.1 ÷ 9 Answer:6.99.65.98.96.3 5. ¾ of 840 Answer:630430530360650 6. Write the following in order of size, starting with the smallest: 2.3 2.32 2.03 2.302 Answer:2.03, 2.3, 2.302, 2.322.03, 2.302, 2.32, 2.32.32, 2.03, 2.302, 2.32.32, 2.302, 2.3, 2.03None of the Above 7. Tom uses 750g of sugar from a 2.5kg packet. How many kilograms of sugar are left? Answer:1.75kg3.25kg1.25kg3.75kg1.50kg 8. a) Given that Tom eats 3/5 of a cake and his friend, Jerry, eats 1/3 of the cake, what fraction of the cake is left?\[\frac{1}{15}\]\[\frac{4}{15}\]\[\frac{3}{15}\]\[\frac{2}{15}\]None of the Above 8.b) Given that Tom’s piece of cake weighed 150 grams, what was the weight of the whole cake?250g90g150g350g200g 9. Look at the number pattern below: 1² + 3 = 4 2² + 5 = 9 3² + 7 = 16a) Fill in the next two lines of the pattern, + = + =\[4^{2}\] + 9 = 25\[3^{2}\] + 9 = 18\[4^{2}\] + 4 = 20\[3^{2}\] + 8 = 17\[4^{2}\] + 8 = 23 9.b) Complete the following line which comes later in the pattern. + = 121\[10^{2}\] + 21\[11^{2}\] + 1\[11^{2}\] + 21\[9^{2}\] + 21\[12^{2}\] + 18 10. Write the following events in order, with the most probable (i.e. most likely) first and the least probable (i.e. least likely) last. Give your answer as a sequence of letters, e.g. BACED.A: Being born on a Wednesday;B: A meteorite falls on the College tomorrow;C: Rolling a 4 with a fair die;D: Obtaining a head when a fair coin is tossed;E: Obtaining an even number when two odd numbers are multiplied together.DCABEBACEDABDECCDBAEDCBAE 11. a) Rosa takes 37 minutes to travel to work each morning. She leaves home at 8.15 a.m. What time does she arrive at work? Answer:8:52am7:28am8:37am8:42am7:52am 11.b) The journey home in the evening takes the same time. She arrives home at 6.23p.m. At what time did she leave work? Answer:5:46pm6:00pm5:30pm5:56pmNone of the Above 12. Curtain material costs £10.20 per metre.a) How much will it cost to buy 10 metres? Answer: £102£200£201£104£100 12. Curtain material costs £10.20 per metre.b) Mr Rutter buys a length of material costing £25.50. How many metres does he buy? Answer:2.5m1.5m3.5m4.5mNone of the Above 13. The distance from Calais to Paris is 320 km. 5 miles is approximately 8 kilometres. Calculate the approximate distance in miles from Calais to Paris.200miles100miles400miles300miles150miles 14. Shortcrust pastry is made using flour and fat in the ratio 2:1. How many grams of flour are needed to make 900 grams of shortcrust pastry?600grams1350grams500grams700grams650grams 15. Cans are often stacked like this in a supermarket display.a) Find the total number of cans in the first four rows. Answer: 1046812 15. Cans are often stacked like this in a supermarket display.b) How many rows would be needed to display 28 cans? Answer:75863 16. Three bus services stop at my bus stop. Service A departs every 3 minutes, service B every 5 minutes and service C every 8 minutes. If all three services leave my stop at 10.00 a.m., at what time will they next leave my stop together? (Assume that all three services always run on time).12:00pm1:00pm2:00pm11:00pm11:20pm 17. A cube with sides 3 cm is made from smaller cubes of side 1cm as shown.a) How many small cubes are used in making the bigger cube? Answer:27cubes9cubes18cubes36cubes25cubes 17.b) If the bigger cube is painted blue all over, how many small cubes will have three blue faces? Answer:89765 17.c) How many small cubes share a face with 5 other small cubes? Answer:64587 17.d) How many small cubes share a face with exactly 2 other small cubes? Answer:027963 18. Four rectangles each of length 27 cm and width 13 cm are arranged to form the square shape shown below (the diagram is not drawn to scale). Finda) the perimeter of this square shape, Answer:160cm108cm168cm170cm140cm 1.8.b) the area of the shaded inner square. Answer:196 cm166 cm176 cm186 cm296 cm 19. a) On the grid above, plot and label the points A (0, 3) , B(2, 5) , C (6, 3) and D (2,1) . b) Join ABCD. 19.c) What name is given to this shape?KiteRhombusTriangleTrapeziumNone of the Above 19.d) Find the coordinates of the point of intersection of the diagonals.(2, 3)(2, 1)(0, 3)(2, 0)(1, 3) 19.e) Draw on any lines of symmetry. 19.f) Calculate the area of ABCD.12 \[cm^{2}\]16 \[cm^{2}\]24 \[cm^{2}\]18 \[cm^{2}\]14 \[cm^{2}\] 20. My age is a multiple of 7. Next year it will be a multiple of 5. I am more than 20 years old, but less than 80. How old am I?4929395040 21. A piece of wire 30cm long is bent into the shape of a rectangle. If the rectangle is twice as long as it is wide, what is its area?50 \[cm^{2}\]30 \[cm^{2}\]40 \[cm^{2}\]60 \[cm^{2}\]80 \[cm^{2}\] 22. The graph below shows the times taken to walk around the school field by 5 pupils. Find:a) the difference in minutes between the slowest and fastest times, Answer:4minutes6minutes8minutes5minutes3minutes 22.b) the sum, in minutes, of the individual times, Answer:80minutes66minutes60minutes55minutes64minutes 22.c) the average time, in minutes, of the five times. Answer:16minutes14minutes12minutes18minutes15minutes 22.d) Peter walked at 4 km/h. How far is it around the school field? Answer:1km2km3km0.5km0.8km 23. Two numbers are ‘clotted’ by multiplying them together and then writing the answer backwards. For example, 6 and 7 are ‘clotted’ to give 24 because 6 × 7 = 42 and 42 written backwards is 24.a) What is the result of ‘clotting’ 8 and 9? Answer:2772178998 23.b) With which number must 4 be ‘clotted’ with to give 42? Answer:65437 23.c) Find two whole numbers which ‘clot’ to give 53. Answer:5 & 71 & 357 & 52 & 25Both a & b 24. Along any line drawn, the numbers in the two circles at the end of a line should multiply to make the number in the square between the two circles. Fill the remaining squares and circles with numbers obeying this rule. Time is Up!
