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My Test

1. The document contains 9 math problems involving topics like fractions, probabilities, geometry (areas, coordinates, symmetry), and set theory. Students are asked to show their work and provide answers in simplest form or as specified. The problems range from 1 to 5 marks each.

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enock chilufyajr
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0% found this document useful (0 votes)
46 views6 pages

My Test

1. The document contains 9 math problems involving topics like fractions, probabilities, geometry (areas, coordinates, symmetry), and set theory. Students are asked to show their work and provide answers in simplest form or as specified. The problems range from 1 to 5 marks each.

Uploaded by

enock chilufyajr
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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1

1 Antonio has a shop near the beach.

(a) He makes a tally of the number of ice creams he sells on Friday.

Work out the number of ice creams he sells on Friday.

................................................... [1]

(b) 15 of the ice creams he sells on Friday are vanilla.

Work out the fraction of ice creams he sells on Friday that are vanilla.
Give your answer in its simplest form.

................................................... [1]

[Total: 2]

2 One day, Mahika records the number of teachers and students who cycle to school.

Tally Frequency

Teachers ////

Students //// //// //// //// ///

(a) Complete the frequency column in the table. [1]

(b) Work out the percentage of people who cycle that are students.

................................................... % [2]

[Total: 3]

3 6 5
6 7

5
3 5

8
2

The diagram shows a fair 9-sided spinner.


The numbers on the spinner are 2, 3, 5, 5, 5, 6, 6, 7 and 8.
2

(a) The spinner is spun once.

Write down the probability that the spinner lands on

(i) the number 8,

................................................... [1]

(ii) a number less than 7.

................................................... [1]

(b) The spinner is spun 135 times.

Work out the expected number of times the spinner lands on the number 6.

................................................... [1]

[Total: 3]

Find

(a) ,

[1]

(b) 6p.

[1]

[Total: 2]
3

Points A, B and C are shown on the grid.

(a) Write down the coordinates of point C.

( .............................. , .............................. ) [1]

(b) On the grid, plot point D so that ABCD is a parallelogram. [1]

(c) On the grid, plot point E so that . [2]

[Total: 4]
4

POQ is a sector of a circle, centre O and radius 7.5 cm.


The sector angle is 60°.

Calculate the length of the arc PQ.

PQ = ................................................... cm [2]

[Total: 2]
5

7
204 mm NOT TO
SCALE

72 mm

180 mm

Work out the area of this trapezium.

................................................... mm2 [5]

[Total: 5]

The diagram shows a rhombus.

(a) Write down the order of rotational symmetry.

................................................... [1]

(b) On the diagram, draw all the lines of symmetry. [2]

[Total: 3]
6

9 Shade the region .

D E

[1]

[Total: 1]

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