Take this Exam: National 5 Mathematics: Both Papers | Zestly

Question 1

Calculate the area of a sector of a circle with radius $10$ cm and a central angle of $72^\circ$.

Accepted Answer

$62.8$ cm$^2$

Answer

$12.6$ cm$^2$

Answer

$31.4$ cm$^2$

Answer

$125.7$ cm$^2$

Question 2

Two triangles are similar. The smaller has an area of 20 cm^2 and the larger an area of 80 cm^2. One side of the smaller triangle is 5 cm. How long is the corresponding side of the larger triangle?

Accepted Answer

10 cm

Answer

2.5 cm

Answer

20 cm

Answer

40 cm

Question 3

For the data set 2, 4, 5, 7, 8, 10, 12, find the interquartile range.

Accepted Answer

6

Answer

10

Answer

7

Answer

4

Question 4

A van is bought for £18,000. It loses 15 per cent of its value in each of the first two years. What is it worth at the end of the second year?

Answer

£12,600

Answer

£15,300

Answer

£13,500

Answer

£13,005

Question 5

Make $x$ the subject of the formula $y = 2x^2 + 5$.

Answer

$x = \sqrt{\frac{y+5}{2}}$

Answer

$x = \sqrt{\frac{y-5}{2}}$

Answer

$x = \frac{\sqrt{y-5}}{2}$

Answer

$x = \sqrt{y} - 1.5$