Intermediate November 2023 Unit 1 Q5
5.
(a) The mean of four numbers is 9.
What is the total of the four numbers? [1]
What is the total of the four numbers? [1]
(b) Find a set of four numbers such that:
- their mean is 9
- their mode is 11.
| Scheme | Marks | Comments |
|---|---|---|
| 36 | B1 | Allow B1 for a correct embedded answer (e.g. 36 ÷ 4 = 9 BUT B0 if contradicted by total ≠ 36). Allow the sequence 9, 18, 27, 36 for B1, but only if no further numbers are shown. |
| Scheme | Marks | Comments | ||||||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Four numbers including 11, 11 AND a pair of non-identical numbers whose sum is 14
| B2 | Numbers may be seen in any order. Accept answers using fractions, decimals or negative numbers. FT 11, 11 AND two numbers whose sum is ‘their total’ from (a) – 22 for a possible B2 or B1. Award B1 for four numbers with one of the following:
|