Dulwich College 11 Plus Maths Specimen Paper – C by smoothmaths | Jun 23, 2020 | 0 comments Welcome to your Dulwich College 11 Plus Maths Specimen Paper - C TIME allowed for this paper: 60 minutesInstructions Attempt all the questions. Do all your written work on this paper, showing all your working. Calculators must not be used. The numbers in square brackets are the marks available for each part of a question. You must not write in the squares at the bottom right of each page. There are 100 marks in total. 12. Clare went to the sweet shop with her weekly pocket money. She saw that lollipops cost 35p, and she worked out that if she bought 8 lollipops she would end up with 30p left from her pocket money.(a) Work out how much money Clare had in total, giving your answer in pounds and pence. She then worked out that if she bought only 5 lollipops, she would have exactly the right amount of money left over to buy 3 packets of jelly gums. (b) Work out the price of one packet of jelly gums. 13. At the school medical centre, there are enough plasters to patch up 12 cut knees per day for 30 days. Work out how long the plasters would last if the medical centre were having to treat 20 boys with cut knees a day.Answer: days 14. The table and bar chart below shows the number of burgers sold by a cafe each day for a week.(a) Use the information in the table and the bar chart to complete the entry for Wednesday in the table and the bar for Friday on the chart. (b) The total number of burgers sold in the week was 140. Use this information to help complete both the table and the bar chart with Sunday's entry. 15. Arafin has four rectangular tiles which he arranges as shown below, leaving a square hole in the middle of the tiles.The hole in the middle has an area of 400 cm².(a) Calculate the width of one of the tiles.Answer: cm The area of the four tiles combined is 12 times as large as the area of the hole in the middle.(b) Calculate the length of one of the tiles.Answer: cm (c) Work out the perimeter of one of the tiles, giving your answer in metres.Answer: m 16. Searching in the sock drawer of his wardrobe, Graham is able to find 30 loose socks of assorted colours. A third of them are white, and of the non-whites remaining, two fifths are blue. The rest are all red.(a) Work out how many blue socks he finds.Answer: (b) Write down how many pairs of red socks he could make.Answer: 17. On the five school days of a given week, Joshua recorded how many minutes late his school bus arrived each morning. Here is what he found:(a) Write down the mode of the amount of minutes the bus was late over the week. Answer: minutes (b) Work out the range of the five times that Joshua recorded. Answer: (c) Calculate the mean average time that the bus was late over the course of the week. Answer: The following Monday, Joshua again records how many minutes late the bus arrives, and combining this with his results from the previous week, the mean average late time is now at 6 minutes.(d) How much was the bus late by on that second Monday?Answer: Joshua keeps recording this information each morning. By the end of the Thursday of the second week, the mean average has now fallen to 4 minutes.(e) Explain what this tells us about the number of minutes that the bus was late over the middle three days of the second week. 18. (a) Circle which of the following shapes has two both lines of symmetry and rotational symmetry of order 2. (b) Give the full name of the shape above which has exactly three lines of symmetry. 19. The competitors in the Tour de France cycling race are all given race numbers to wear. Based on last year's results the captain of the leading team has the honour of wearing number 1 and the other members of his team wear the numbers 2 to 9.The captain of the next team in the rankings wears number 11 and his team -mates are given the race numbers from 12 to 19. The third team get allocated the race numbers from 21 to 29, and so on.This process continues until all riders have been given a unique number that identifies them individually, but also identifies which team they are on.(a) Write down how many riders there are in each team.Answer: (b) The last race number to be issued is number 209. Write down how many teams there are in the race.Answer: (c) Calculate how many riders there are in the race in total.Answer: (d) Calculate how many zeros occur in the list of all the race numbers from 1 to 209.Answer: (e) If 42 riders failed to finish the 3-week-long race, either through crashing out or abandoning the race, work out what fraction of the number of riders who started the race actually completed the whole event. Leave your answer in its simplest form.Answer: 20. In the each of the grids below, the numbers in the four square boxes around each circle must be added together to give the number in the circle. For example, 5+4+3+2=14, so:(a) Completed the three grids below with the correct number into each of the relevant square or circles.Answer: (b) Complete the network of grids below with the correct number into each of the relevant squares or circles.Answer: In the final network of grids below, the numbers must all be whole numbers greater than zero, and the same number must not appear more than once.(c) Complete this final network below with the correct number into each of the relevant squares or circles.Answer: 21. The number 21 can be written as the sum of three different prime numbers: 21 = 3 + 5 + 13Show which numbers between 9 and 19 inclusive can be written as the sum of 3 different prime numbers, writing your answers in the spaces at the bottom of the page and using the gap between for rough working as necessary. If it is not possible to make a particular number, tick the box on the right hand side. 9 = or not possible : 10 = or not possible: 11 = or not possible: 12 = or not possible: 13 = or not possible: 14 = or not possible: 15 = or not possible: 16 = or not possible: 17 = or not possible: 18 = or not possible: 19 = or not possible: Time is Up!