Numeracy Foundation June 2018 Unit 1 Q4
4. A lighting company sells sets of lights in different sizes.
Some of the sets are shown below.

The pattern can be continued to make larger sets of lights.
(a) How many light bulbs are needed to make Set 5?
Circle your answer. [1]
Circle your answer. [1]
9 10 11 12 13
(b) Which set has 27 light bulbs? [2]
Set ……………
(c) A customer thinks that to find the number of bulbs that are in a set, you multiply the set number by 3.
Is the customer correct?
Is the customer correct?
Yes ☐ No ☐
Give a reason for your answer. [1]
| Scheme | Marks | Comments |
|---|---|---|
| 11 | B1 |
| Scheme | Marks | Comments | ||||||
|---|---|---|---|---|---|---|---|---|
| Attempt to continue the sequence in 2s to 27 (3, 5, 7), 9, 11, 13, 15, 17, 19, 21, 23, 25, 27 | M1 | Award M1 for correct diagram with set 13 drawn. FT from part (a) if 9 or 13 given as answer to part (a) | ||||||
| 13 | A1 |
|
Alternative
Alternative method
| Scheme | Marks |
|---|---|
| (27 – 1) ÷ 2 | M1 |
| 13 | A1 |
Accept embedded answers.
The alternative method is printed in italics in the original.
| Scheme | Marks | Comments |
|---|---|---|
| No and explanation given E.g. ‘You add on 2 each time.’ ‘There are not 6 bulbs in set 2’ ‘3 times 2 is not 5’ ‘5 times 3 is 15 not 11’ ‘double and add 1’ ‘not multiples of 3’ ‘× 2 +1’ ‘if it was correct set 2 should be 6 bulbs but it has 5’ ‘7 is not a multiple of 3’ ‘2n + 1’ | E1 | Allow: ‘There is 1 bulb in common.’ ‘There is some overlap.’ ‘all numbers are odd’ Do not accept ‘multiply by 2’ |