Numeracy Foundation November 2021 Unit 1 Q1
1. Amazing Snacks makes tortilla chips, as shown in this picture.
This tortilla chip has 3 sides of equal length.
What is the name of a triangle that has 3 sides of equal length?
Circle your answer. [1]
scalene isosceles right-angled equilateral quadrilateral
Maisie has been asked to design a new shape of chip.
One of her designs is shown below.
Maisie thinks that the angle between the two straight edges is an obtuse angle.
Do you agree?
You must use the diagram to give a reason for your answer. [1]
Yes ☐ No ☐
Maisie’s design is shown on the centimetre-squared grid below.
The face of one of the original chips has an area of 13 cm2.
Maisie thinks her new design has a greater area than the original.
Decide whether or not Maisie is correct.
You must show all your working. [3]
| Scheme | Marks | Comments |
|---|---|---|
| Equilateral | B1 |
| Scheme | Marks | Comments |
|---|---|---|
| No and a valid reason e.g. ‘No because the angle is 78(±2˚) (which is less than 90(˚))’ ‘No as the angle is smaller than a right angle’ ‘No because an obtuse angle is greater than 90 (but less than 180)’ ‘No because it’s less than 90’ ‘No, it’s below 90’ ‘No, obtuse is over 90’ ‘No because it is an acute angle’ | E1 | Reasons may be indicated on the diagram. Do not accept ‘No because they are not straight lines’ ‘Yes because it is an angle below 90’ ‘Yes because obtuse angles are 90’ ‘No, it is over 90’ |
| Scheme | Marks | Comments |
|---|---|---|
| Evidence of counting squares inside shape | M1 | |
| Answer in range 14 – 22 | A1 | Answers may be on diagram |
| Maisie correct (accept yes) | E1 | This mark is dependent on ‘their area’ FT ‘their area’ Award E1 if there is clearly enough working for area to be able to decide whether Maisie is correct or not. Award E0 for explanations clearly based on perimeters. Must clearly indicate that Maisie is correct but may be implied in their statement eg there are more than 13 cm2, there are approximately 18. |