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Numeracy Foundation June 2019 Unit 2 Q5

WJECFoundationCurrent spec5 marksAngles (Including Parallel Lines)Basic ProbabilitySequences

5. Here is a diagram of a snooker table.
The dotted lines on the diagram show the path of a ball as it bounces off the side of the table.

Snooker table; the ball’s path meets the top cushion making angles of 40° with the cushion on each side, and angle b between the two paths

Diagram not drawn to scale

(a) Find the size of angle \(b\). [2]
(b)

What is the special name given to angle \(b\)? [1]

right angle     obtuse angle     acute angle     reflex angle     straight angle

All the red balls at the beginning of a snooker game are placed on the table in the shape of an equilateral triangle.
Here is part of the pattern of how the red balls are placed.
There are 5 rows of red balls in the complete pattern.

Triangle pattern of balls: rows of 1, 2 and 3 balls
(c)

Denise says,

“There are 15 red balls on the table at the beginning of a snooker game”.

Using the pattern of balls above, show that Denise is correct. [1]

(d)

There are 22 balls on the table at the beginning of a snooker game.
15 of the balls are red.
Denise picks one ball, at random, from the table at the beginning of a game.
Which of the words below describes the chance that she will pick a red ball?
Circle your answer. [1]

certain     likely     even chance     unlikely     impossible

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