Dulwich College 11 Plus Maths Specimen Paper – F by smoothmaths | Jun 26, 2020 | 0 comments Welcome to your Dulwich College 11 Plus Maths Specimen Paper - F Time allowed for this paper: 1 hourInstructions Attempt all the questions. Calculators must not be used. Show all of 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. 2017 + 597Answer:26142604251425042641 2. 63 × 42Answer:264625463683782550 3. 6.48 ÷ 6Answer:1.081.091.81.051.9 4. 7.257 – 3.47Answer:3.7876.913.8874.7874.887 5. Write down the missing terms in each of the sequences below:(a) 3 , 9 , 21 , 27 ,15,3315,3114,3315,3012,33 5.(b) 16 , 8 , 4 , 132,234,222,232,330,2 5.(c) 100 , 132 , 116 , 124 , 120122,121116,112116,121122,112122,124 5.(d) 1 , 2 , 6 , 24 , 720120,5040100,5040120,494096,2880120,3600 6. Circle the factors of 99: 9 198 990 33 66 11 18 489,11,3366,198,99018,48,669,18,19811,66,990 7. Subtract 20 + (1 × 7) from (20 + 1) × 7.120100150160180 8. In a survey a group of children were asked how many films they had seen in thelast week. No-one in the group had seen more than four films, and the results areshown in the pie chart below.(a) Work out the percentage of children who had seen exactly three films.12.5%1.25%10%15%20% 8.(b) Work out the fraction of children who had seen no films, giving youranswer in its lowest terms.\[\frac{}{24}\]\[\frac{3}{8}\]\[\frac{1}{24}\]\[\frac{1}{3}\]\[\frac{1}{8}\] Nine of the children who were surveyed had seen exactly one film and another ninehad seen exactly three films.(c) Fill in the table below to show the number of children who had seen 0,2, and 4 films. Number of films 0 1 2 3 4Number of children 9 9 surveyed 9. (a) Calculate 0.35 + 4/5 + 37/100, leaving your answer as a decimal.1.520.801.421.620.60 9.(b) Write 21/70 as a decimal.0.30.20.40.50.1 10. Simon and Fiona are sharing a cupboard. If Simon’s things take up 2/5 of the spaceand Fiona’s things take up 2/7 of the space, what fraction of the cupboard is empty?\[\frac{11}{35}\]\[\frac{3}{12}\]\[\frac{24}{35}\]\[\frac{13}{35}\]\[\frac{1}{3}\] 11. (a) Round 1619 to the nearest 10.16201610161516001625 11.(b) Round 2017 to the nearest 100.20002010202021002200 12. A, B and C and D are 4 points on a grid. A is at (5, 1), B is at (1, 1) and C is at(1, 3) and D is at (5, 4).(a) Plot the points B, C and D and then connect them to form thequadrilateral ABCD. 12.(b) State what type of quadrilateral has been formed.TrapeziumParalellogramSquareRectangleTriangle 12.(c) The side length of each small square in the grid is 1 cm. Workout the area of the quadrilateral ABCD.\[10 cm^{2}\]\[20 cm^{2}\]\[12cm^{2}\]\[8 cm^{2}\]\[14 cm^{2}\] 13. Rotate the triangle through 180° about the point marked A. 14. Work out the perimeter of this shape.Note: all angles are right angles but the diagram has not been drawn to scale.64cm62cm60cm58cm53cm 15. The example below shows a quick way to work out the difference between twosquare numbers. 19² - 16² = (19 + 16) (19 - 16) = 35 × 3 = 105Use this method to work out the following:(a) 17² - 13²Answer: %BLANK%1208010016060 15.(b) 888² - 112²Answer:77600077600776076824077680 15.(c) 7.5² - 2.5²Answer:5045405530 16. The mean (average) of five numbers is 28. The mean of a different set of twelvenumbers is 11. Calculate the mean of all of the numbers together.1617151418 17. Work out the value of x from the diagram below.Answer: x = %BLANK%1101201609080 18. The shape below is made up of equilateral triangles. The side length of thelargest triangle is 16 cm. Work out the total length of all of the lines used todraw the shape.162cm40cm152cm142cm132cm 19. Jon has 30% more money than Miguel and together they have £46. Calculatehow much money Jon has.£ 26£ 115£ 20£ 13£ 30 20. A group of children are playing a game where they can score either 2, 3 or 5points on each turn. The children have had 8 turns each and recorded their scoresin a table, but some of the entries have been deleted. Fill in the missing numbersto give a complete set of scores.Name 2 points 3 points 5 points Total ScoreCarl 1 6 1 25Alex 4 2 Yusuf 3 25Jing 35Charlotte 18 21. Write each of the numbers 80, 81, 82, 83, 84 and 85 in the spaces below, usingeach number only once, to make all of the statements true. is a square number is a prime number is a multiple of 5 is the product of two prime numbers is double a prime number is a multiple of 3 22. James cycles 4000m at 10 metres per second. Tom takes 100 seconds more tocycle the same distance. At what speed does Tom cycle?Answer:8\[ms^{-1}\]10\[ms^{-1}\]12\[ms^{-1}\]20\[ms^{-1}\]18\[ms^{-1}\] 23. The instruction x ♠ y means double x and add y. For example: 5 ♠ 3 = 2 × 5 + 3 = 13(a) Work out the value of 14 ♠ 5583731386353 23.(b) What is the value of a if 9 ♠ a = 311323334349 23.(c) What is the value of b if b ♠ 10 = 16 ♠ b2242521262 23.(d) The numbers c and d are such that c ♠ d = d ♠ c . Work out the value of d - c .01324 24. The cards below have letters on one side, and the numbers 1, 2, 3, 4, 5, 6 and7 on the other side (but not necessarily in this order on the cards).You are told that:(a) Find the value of 76543 24.b) You are also told that(b) Work out what the following add up to.2215552030 25. Along any line drawn, the numbers in the two circles at the end of a line shouldadd together to make the number in the square between the two circles, as in thefirst example. Fill the remaining circles with numbers obeying this rule.A=11,B=44,C=36A=9,B=44,C=36A=11,B=33,C=36A=11,B=44,C=32A=11,B=40,C=36 25.b)A=8,B=17.5,C=12.5A=6,B=17.5,C=12.5A=8,B=16.5,C=12.5A=8,B=17.5,C=10.5A=5,B=17.5,C=12.5 26. Each of the diagrams below shows a pair of triangles drawn on a grid of squaresof side length 1cm and a smaller shaded triangle where these overlap. Eachcorner of each of the large triangles lies exactly at the corner of a square on thegrid. Work out the area of the shaded triangle in each case.\[\frac{1}{3}\]\[\frac{2}{3}\]\[\frac{1}{5}\]\[\frac{1}{4}\]\[\frac{3}{8}\] 26.b)\[\frac{128}{35}\]\[\frac{84}{35}\]\[\frac{111}{25}\]\[\frac{101}{45}\] End of the ExaminationIf you have time, go back and check your answers andmake sure that you have shown all of your working. Time is Up!