Dulwich College 11 Plus Maths Specimen Paper - B

Dulwich College 11 Plus Maths Specimen Paper – B

June 22, 2020 - Jintendra

Welcome to your Dulwich College 11 Plus Maths Specimen Paper - B

TIME allowed for this paper: 60 minutes

Instructions

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.

8. The length of one statute mile is given as 1609.344 metres.

(a) Circle which of the following describes the position of the 6 in the number above.

9. (a) Circle which of the four options below shows a correct rotation of the word:

(b) Circle which of the four options below show a correct reflection of the word:

12. A, B and C are three points on a grid. A is at (5, 2), B is at (4, 5) and C is at (3, 0).

(a) Plot and label the other two points, B and C, and then join the three points and lightly shade the triangle you have formed.

A mirror line is marked as the dotted line at x = 3. The triangle can be reflected in this mirror line so that point A ends up at a new point D and point B ends up at a new point E.
(c) Draw the reflected image of the triangle across this mirror line and label the two new points D and E.

13. A prime number has exactly 2 factors: itself and 1.
The numbers from 1 to 20 inclusive are written on 20 cards. Write down the
proportion of all the cards that have a prime number written on them, giving
your answer as a decimal.

14. The table and bar chart below shows the number of cars sold by a car showroom
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 cars sold in the week was 28. Use this information to help
complete both the table and the bar chart with Sunday's entry.

15. continued:

Louis hires a builder to lay the path. The builder charges £8 per hour basic labour
for the job, and then £1.50 per slab he lays.

(d) If he takes 3½ hours to finish the job, work out his overall fee.

Louis then decides to plant a row of bushes around the inside of the stone path.
Each bush is to be planted 25 cm from the edge of the path, and 50 cm from its
neighbouring bushes. The diagram below display how this might look near a
corner of the garden.

(e) Calculate how many bushes are required to complete this in total.

19. The sixteen shapes in the grid each contain a number with the following rules:

The numbers in the circles are four more than the numbers in the squares on the same row.
The numbers in the triangles are double those of the numbers in the squares on the same row.

(a) Complete the missing numbers in the square.

(b) Complete the missing numbers in the circles and triangles.

(c) Identify the pattern that links the other numbers to the hexagonal numbers in each row. Write one of the four arithmetic symbols (+ , - , × , ÷) in each of the two gaps either side of the circle, to complete the following formula linking all the numbers in any row of shapes.