Numeracy Foundation November 2024 Unit 1 Q3
3.
Magic Johnson is one of the greatest basketball players of all time.
- He first played for the LA Lakers in 1979.
- His height is 206 cm.
- His salary in 1989 was $3 142 000.
Which of the following is the best description for the shape of a basketball?
Circle your answer. [1]
Sphere Cylinder Cuboid Cone Cube
A local basketball club trains on a basketball court each week.
The basketball court is rectangular.
The diagram below is a scale drawing of the basketball court.
On screen this diagram may not be shown at actual size. To measure it, use the question paper (PDF) printed at 100%.
The actual length of the basketball court is 28 metres.
Use the scale drawing to find the actual width of the basketball court. [3]
Actual width of the basketball court is …………… metres
The diagram below represents the positions of three players on a basketball court.
Diagram not drawn to scale
Bryn faces Alex.
Bryn then turns clockwise to face Charlie.
Charlie thinks that Bryn has turned through an acute angle.
Do you agree?
Give a reason for your answer. [1]
Yes ☐ No ☐
In the space below, complete an accurate scale drawing to show Charlie’s position.
The positions of Alex and Bryn are shown.
Use the scale: 1 cm represents 0·5 m. [2]
| Scheme | Marks | Comments |
|---|---|---|
| (i) 45 (years) | B1 | |
| (ii) 2.06 (metres) | B1 | Do not accept 2m 6cm |
| (iii) three million (and) one hundred (and) forty-two thousand (dollars) | B1 | Ignore spelling and the units given |
| Scheme | Marks | Comments |
|---|---|---|
| Sphere | B1 |
| Scheme | Marks | Comments |
|---|---|---|
| 15 (metres) | B3 | Answer space takes precedence Answers and/or workings may be seen on the diagram For B3, allow answers in the inclusive range 14.4 (metres) to 15.6 (metres) Award B2 for any one of the following:
Award B1 for any one of the following:
|
| Scheme | Marks | Comments |
|---|---|---|
| (i) No and a valid reason e.g. ‘No, because the angle is more than 90(˚)’ ‘No, as the angle is bigger than a right angle’ No, acute is less than 90 (˚)’ ‘No, angle is obtuse’ ‘No, it’s obtuse’ | E1 | Reasons may be indicated on the diagram. Allow 'No, angle is too big to be an acute angle' 'No, angle is larger than an acute angle' No, angle is greater than an acute angle' ‘No, an acute angle is smaller’, Do not allow ‘No, because an acute angle is 70(˚)’ ‘No, because it’s not an acute angle’ ‘No because an acute angle is not 157’ |
| (ii) Correct line drawn from Bryn | B2 | Use of overlay Award B1 for either
|