Dulwich College 11 Plus Maths Specimen Paper – D by smoothmaths | Jun 26, 2020 | 5 comments Welcome to your Dulwich College 11 Plus Maths Specimen Paper - D Time allowed for this paper: 1 hourInstructions Attempt all the questions. Calculators must not be used. Show all your working on this paper. There are 100 marks available in total for this test. You must not write in the squares on the bottom right of each page. The marks available for each part of a question are given in square brackets. Calculate:1. 828 + 1911019919110010291039 2. 637 – 473164264144364244 3. 391 × 7273721372163727503727 4. 602 ÷ 78696766678 5. 4.6 – 3.551.051.151.51.12.5 6. Fill in the missing numbers from these sequences:(a) 29 , 37 , 45, 61, (b) 31, 28.5, 26, , , 18.553,6952,6755,7053,6850,66 7. Circle the multiples of 8: 16 4 24 6 2 1 8 3023.5,2124.5,2124.5,2224,21.523,21 8. (a) Round 1517 to the nearest 100.1500151001550016001400 (b) Round 8885 to the nearest 10.88908880880988008990 9. Subtract 7 + (3 × 11) from (7 + 3) × 11.70-701306050 10. Circle which of the following has a different value from the others: 3−7−4 (3−7)−4 3−(7−4) ((3−7)−4)3-(7-4)3+(7+4)(3-7)-4((3-7)-4)none of the above 11. (a) Circle the fraction which has a different value from the others: 6/9 2/3 18/27 7/10\[\frac{7}{10}\]\[\frac{6}{9}\]\[\frac{2}{3}\]\[\frac{18}{27}\]\[\frac{16}{24}\] (b) Circle the smallest of the following fractions: 1/4 1/5 5/16 1/3\[\frac{1}{5}\]\[\frac{1}{4}\]\[\frac{5}{16}\]\[\frac{1}{3}\]none of the above (c) Circle the largest of the following fractions: 2/3 7/9 17/27 1/2\[\frac{7}{9}\]\[\frac{2}{3}\]\[\frac{17}{27}\]\[\frac{1}{2}\]\[\frac{1}{3}\] 12. (a) Mark the points A(–2, 0), B(2, 0) and C(0, –3) on the axes below, labelling each point clearly. (b) The y co-ordinate of point D is 4 and ABCD is a kite. Write down the x co-ordinate of D.04-432 (c) The point E is such that ABCE is a rhombus. Write down the co-ordinates of the point E.(0,3)(0,-3)(2,0)(0,4)(3,2) 13. (a) Draw the reflection of this triangle in the mirror line shown. (b) If the side of each square on the grid represents 1 metre, work out the area of the triangle, giving the units of your answer.7.5\[m^{2}\]15\[m^{2}\]7\[m^{2}\]10\[m^{2}\]8\[m^{2}\] (c) Work out the fraction of the total area of the grid the original triangle covers.\[\frac{1}{8}\]\[\frac{2}{9}\]\[\frac{1}{3}\]\[\frac{1}{9}\]\[\frac{3}{5}\] 14. Circle which of the following numbers are square numbers: 9 55 81 13 219,819,5513,2181,2155,13 15. (a) Write 6/25 as a decimal.0.240.350.022.40.45 (b) Calculate 0.35 + 3/5 + 1/4 , leaving your answer as a decimal.1.21.41.51.11.8 16. A sleeper train leaves London at 10:17 pm and reaches Edinburgh at 5:44 am.(a) Calculate out how long the journey takes in hours and minutes.7hrs 27mins6hrs 30mins8hrs 20mins5hrs 40mins7hrs 47mins (b) An aeroplane takes 7 hours to travel from London to New York at a constant speed. The distance from London to New York is approximately 5600 kilometres. Calculate the approximate speed of the aeroplane in kilometres per hour.800kmph700kmph1100kmph600kmph900kmph 17. Work out the area and perimeter of this shape. Note: all angles are right angles.102\[cm^{2}\],46cm100\[cm^{2}\],46cm102\[cm^{2}\],41cm72\[cm^{2}\],46cm102\[cm^{2}\],38cm 18. The table and bar chart below are to show the number of points scored by a rugby team over the first six matches of a season.(a) Use the information in the table and the bar chart to complete the missing entries for Matches B and C in the table and the bar for Match E on the chart. (b) Calculate the range of the different numbers of points scored by the team across the six matches.21points18points9points7points5points (c) Calculate the mean (average) number of points scored by the team per match.20points10points15points25points30points 19. The diagram shows a triangle and a line. The two angles marked y° are equal.(a) Write down the value of x.180°110°120°150°160° (b) Work out the value of y .35°70°60°30°25° 20. Twelve balls labelled 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 and 12 are placed in a bag and one ball is chosen at random.(a) Circle which of the following is more likely:Ball shows an even numberBall shows a multiple of 3Ball shows an odd numberBall shows a prime numbernone of the above (b) Explain your answer clearly:p(n)>p(b)p(n)p(n)=p(b)botha&cnone of the above 21. A rectangle has width w cm and height h cm.(a) Write down a formula for the perimeter of the rectangle in terms of w and h.2(h+w)cm(h+w)cm\[\frac{h+w}{2}\]cm(2h+w)cm(h+2w)cm (b) The area of the rectangle is 55 cm2 and both w and h are prime numbers. Calculate the perimeter of the rectangle.3216302428 22. The mean (average) of seven numbers is 12. An eighth number is included and the mean decreases to 11. Find the number which was included.417251006 23. Towers of blocks are made such that the number showing on each block above the bottom row is found by multiplying the numbers in the two blocks on which it stands.For example: as 10 = 2 × 5 . (a) Fill in the missing numbers in the following:(i) (ii) (b) A tower with five rows is made and the bottom row is:Write down the number which will appear at the top of this tower. 24. A children’s toy game consists of 16 square buttons, some of which are black, and some white. When a button is pressed, that square and the squares immediately above it, below it and to its left and right change from being black to white and vice versa.For example:(a) Show the effect of pressing button 7 by shading squares on the pattern below: (b) The object of the game is to make all the squares white. Which two buttons could you press from the following position to win the game?7&109&314&87&143&14 25. The symbols ■, □, ♠, ♣, ♥, ♦, ☼, and Ο each represent different prime number less than 20 and the following statements are true: □ × ♠ = 15 □ × ♥ = 35Write down the value of:(a) □513152 (b) ♠ + ♥10812715 The following statements are also true:Ο × Ο = 121♥ × Ο × ♣ = 1001Write down the value of:(c) Ο11913714 (d) ♣13111579 (e) ■ + ♦ + ☼3841363045 Time is Up!