Dulwich College 11 Plus Maths Specimen Paper Online Quiz view all papers Welcome to your Dulwich College 11 Plus Maths Specimen Paper 1Answer 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: 425 415 315 325 None of the Above None 2. 327 −119 Answer: 208 212 218 108 118 None 3. 57 × 28 Answer: 1596 1496 1446 1546 1556 None 4. 62.1 ÷ 9 Answer: 6.9 9.6 5.9 8.9 6.3 None 5. ¾ of 840 Answer: 630 430 530 360 650 None 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, 2.32 2.03, 2.302, 2.32, 2.3 2.32, 2.03, 2.302, 2.3 2.32, 2.302, 2.3, 2.03 None of the Above None 7. Tom uses 750g of sugar from a 2.5kg packet. How many kilograms of sugar are left? Answer: 1.75kg 3.25kg 1.25kg 3.75kg 1.50kg None 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 None 8.b) Given that Tom’s piece of cake weighed 150 grams, what was the weight of the whole cake? 250g 90g 150g 350g 200g None 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 None 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 None 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. DCABE BACED ABDEC CDBAE DCBAE None 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: 8:52am 7:28am 8:37am 8:42am 7:52am None 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: 5:46pm 6:00pm 5:30pm 5:56pm None of the Above None 12. Curtain material costs £10.20 per metre.a) How much will it cost to buy 10 metres? Answer: £102 £200 £201 £104 £100 None 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: 2.5m 1.5m 3.5m 4.5m None of the Above None 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. 200miles 100miles 400miles 300miles 150miles None 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? 600grams 1350grams 500grams 700grams 650grams None 15. Cans are often stacked like this in a supermarket display.a) Find the total number of cans in the first four rows. Answer: 10 4 6 8 12 None 15. Cans are often stacked like this in a supermarket display.b) How many rows would be needed to display 28 cans? Answer: 7 5 8 6 3 None 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). 12:00pm 1:00pm 2:00pm 11:00pm 11:20pm None 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: 27cubes 9cubes 18cubes 36cubes 25cubes None 17.b) If the bigger cube is painted blue all over, how many small cubes will have three blue faces? Answer: 8 9 7 6 5 None 17.c) How many small cubes share a face with 5 other small cubes? Answer: 6 4 5 8 7 None 17.d) How many small cubes share a face with exactly 2 other small cubes? Answer: 0 27 9 6 3 None 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: 160cm 108cm 168cm 170cm 140cm None 1.8.b) the area of the shaded inner square. Answer: 196 cm 166 cm 176 cm 186 cm 296 cm None 19. 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? 49 29 39 50 40 None 20. 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 \[cm^{2}\] None 21. 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: 4minutes 6minutes 8minutes 5minutes 3minutes None b) the sum, in minutes, of the individual times, Answer: 80minutes 66minutes 60minutes 55minutes 64minutes None c) the average time, in minutes, of the five times. Answer: 16minutes 14minutes 12minutes 18minutes 15minutes None d) Peter walked at 4 km/h. How far is it around the school field? Answer: 1km 2km 3km 0.5km 0.8km None 22. 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: 27 72 17 89 98 None b) With which number must 4 be ‘clotted’ with to give 42? Answer: 6 5 4 3 7 None c) Find two whole numbers which ‘clot’ to give 53. Answer: 5 & 7 1 & 35 7 & 5 2 & 25 Both a & b None Time's up
