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Numeracy Foundation November 2020 Unit 1 Q1

1.

Photo of a set of lockers numbered 13 to 32
(a)

Mark, James and Aled visit the local sports centre.
They each choose a locker from those shown above.

(i)

Mark chooses one of the lockers shown above at random.

Describe the chance that Mark chooses a locker with an odd number on it.
Circle the correct expression from those given below. [1]

impossible   unlikely   an even chance   likely   certain

(ii) James chooses a locker with a number that is both a multiple of 6 and divisible by 9.
What number locker did James choose? [1]
(iii) Aled chooses a locker with a number that is both an even number and a square number.
What number locker did Aled choose? [1]
(b)

The sports centre provides individual safes to store valuables.

Aled’s passcode is the number eight thousand and seven.
Write this number using digits. [1]

(c)

On the way to the swimming pool in the sports centre, James and Aled have the following conversation:

James says

I’m going to swim one length of the pool.

Aled says

You will swim a distance of 25 miles.

Is Aled correct?
Give a reason for your answer. [1]

(d)

The sports centre has swimming floats that people can use in the pool.
This is a picture of one of the floats.

Photo of a long round swimming float in a pool

What is the name given to the 3D shape that best represents the swimming float shown in the picture?
Circle your answer. [1]

sphere   cylinder   cube   cone   cuboid

(e)

The number of people in the swimming pool is recorded at regular intervals each day.
The table below shows the times and the recorded numbers during the time that James, Aled and Mark were at the sports centre.

TimeNumber of People
13:3020
13:5525
 28
 19
15:1023
 32

Unfortunately, the manager forgot to put 3 times into his table.
Complete the time column in the table above. [2]