Take this Exam: PSAT Data and Geometry — units, bases and figures in words | Zestly

Question 1

Triangle ABC has sides 3, 4, and 5. Triangle DEF is similar to ABC. If the shortest side of DEF is 6, what is the length of the longest side of DEF?

Accepted Answer

10

Answer

8

Answer

12

Answer

15

Question 2

In a right-angled triangle, the angle $	heta$ is opposite a side of length 8 and adjacent to a side of length 6. What is $	an(	heta)$?

Accepted Answer

1.33

Answer

0.75

Answer

0.8

Answer

0.6

Question 3

A circle has a radius of 4 centimetres. What is its area, in square centimetres?

Accepted Answer

$16\pi$

Answer

$8\pi$

Answer

$4\pi$

Answer

$64\pi$

Question 4

Seven pupils sat a test marked out of 100 and scored 12, 14, 15, 15, 16, 18 and 90. Which statement about the mean and the median of these seven scores is correct?

Answer

Both the mean and the median are close to 15, since five of the seven scores are.

Answer

The median is 15 while the mean is above 25, because the one very high score pulls the mean upwards and leaves the median where it is.

Answer

The median is about 25.7 and the mean is 15.

Answer

Removing the score of 90 would leave both the mean and the median unchanged.

Question 5

A cyclist rides 9 kilometres in 24 minutes, keeping the same speed throughout. What is that speed in kilometres per hour?

Answer

0.375

Answer

2.67

Answer

216

Answer

22.5