Quiz about Checkpoint Practice Test

Question 1

Simplify the surds: $$\sqrt[]{98}+\sqrt[]{108}-3\ \sqrt[]{48}$$

Accepted Answer

$$7\ \sqrt[]{2}-6\ \sqrt[]{3}$$

Answer

$$7\ \sqrt[]{3}-6\ \sqrt[]{2}$$

Answer

$$7\ \sqrt[]{3}-6\ \sqrt[]{3}$$

Answer

$$7\ \sqrt[]{2}+6\ \sqrt[]{3}$$

Question 2

The diagram shows a solid metal cylinder with a radius of 4.1 cm and a height of 7 cm. The cylinder is melted and the metal is made into cubes. The side length of each cube is 2 cm. Calculate the number of whole cubes that are made.

Accepted Answer

46

Answer

44

Answer

45

Answer

48

Question 3

The diagram shows a semicircle with a radius of 3 cm. Calculate the area of the semicircle correct to the nearest $$cm^2$$ .

Accepted Answer

$$14\ cm^2$$

Answer

$$12\ cm^2$$

Answer

$$13\ cm^2$$

Answer

$$15\ cm^2$$

Question 4

By writing each number in the calculation correct to 1 significant figure, find an estimate for the value of:

$$\frac{27-2.3^2}{845.4 imes0.048}$$

Accepted Answer

$$\frac{26}{40}$$

Answer

$$\frac{23}{42}$$

Answer

$$\frac{22}{41}$$

Answer

$$\frac{25}{45}$$

Question 5

The graphs show the costs, in $, of different masses of strawberries and raspberries. Find how much more 1 kg of raspberries costs than 1 kg of strawberries.

Accepted Answer

$4

Answer

$2

Answer

$6

Answer

$8

Question 6

The diagram shows two circles, each with center O. Calculate the difference of the circumference of the two circles.

Accepted Answer

44 cm

Answer

42 cm

Answer

43 cm

Answer

45 cm

Question 7

The table shows information about the ages of 100 runners. Calculate an estimate of the mean age of these runners.

Accepted Answer

38.4

Answer

34.8

Answer

43.8

Answer

48.3

Question 8

A shape is formed from a right-angled triangle ABC and a semicircle with diameter CB. AC = CB = 6 cm. Find the area of the whole shape.

Accepted Answer

$$32\ cm^2$$

Answer

$$34\ cm^2$$

Answer

$$36\ cm^2$$

Answer

$$38\ cm^2$$

Question 9

The bar chart shows the number of small, medium and large potatoes in a sack. If in a pie chart the small potatoes cover $$90\degree$$ , how many degrees will the medium potatoes be represented in the said pie chart?

Accepted Answer

$$150\degree$$

Answer

$$60\degree$$

Answer

$$90\degree$$

Answer

$$120\degree$$

Question 10

In September a coat costs $62.50

In October the cost of the coat increases by 4% of the cost in September.

In November the cost of the coat increases by a further 14.6% of the cost in October.

Find the cost of the coat after both increases.

Accepted Answer

$74.5

Answer

$73.5

Answer

$75.5

Answer

$77.5

Question 11

Find the equation of the graph.

Give your answer in the form y = mx + c.

Accepted Answer

y = -2x + 6

Answer

y = 2x + 6

Answer

y = 2x - 6

Answer

y = -2x - 6

Question 12

ABCD is a rectangle measuring 4 cm by 10.5 cm. Calculate the measure of side DE.

Accepted Answer

5.8 cm

Answer

5.2 cm

Answer

5.6 cm

Answer

6.2 cm

Question 13

A pyramid has a square base with a side length of 10 cm and four congruent triangular faces each with a height of 12 cm. Calculate the surface area of the pyramid.

Accepted Answer

$$340\ cm^2$$

Answer

$$320\ cm^2$$

Answer

$$360\ cm^2$$

Answer

$$380\ cm^2$$

Question 14

The diagram shows a rectangle ABCD.

EF is parallel to AB.

EG is parallel to HF.

Calculate the size of the angle marked x.

Accepted Answer

$$64\degree$$

Answer

$$56\degree$$

Answer

$$54\degree$$

Answer

$$58\degree$$

Question 15

A bag contains a large number of colored balls. Each ball is red or green or blue or yellow. A ball is picked at random from the bag. The table shows some of the probabilities. Calculate the probability that the ball picked is blue or green.

Accepted Answer

0.34

Answer

0.28

Answer

0.32

Answer

0.38

Question 16

A carpet costs $15 per square meter. The total delivery charge is $21. Peter buys n square meters of carpet. Which expression represents the total cost in $.

Accepted Answer

15n + 21

Answer

21(n + 15)

Answer

15(n + 21)

Answer

21n + 15

Question 17

Kieran buys a car for $8000. The following year he sells the car for $7500.

Find the percentage loss.

Accepted Answer

6.25%

Answer

6%

Answer

6.5%

Answer

6.75%

Question 18

Two fair four-sided dice numbered 1 to 4 are rolled and the scores are multiplied together. What is the probability of obtaining an even outcome?

Accepted Answer

0.75

Answer

0.25

Answer

0.5

Answer

0.85

Question 19

A circular fish pond has an area of 20 $$m^2$$ .

Calculate the diameter of the fish pond.

Accepted Answer

5 m

Answer

6 m

Answer

7 m

Answer

8 m

Question 20

Prince Charming invests $3000 for 5 years at a rate of 4% per year simple interest. Calculate the total interest he will receive.

Accepted Answer

$600

Answer

$3600

Answer

$1600

Answer

$1000

Question 21

Calculate: $$\frac{60.2 imes10^{8\ }-\ 5\ imes10^6}{3 imes10^6}$$

Give your answer in standard form.

Accepted Answer

$$2.005 imes10^3$$

Answer

$$2.005 imes10^2$$

Answer

$$2.005 imes10^4$$

Answer

$$2.005 imes10^1$$

Question 22

Bernard invests $480 at a rate of 4.5% per year compound interest. Calculate the amount he receives at the end of 3 years.

Accepted Answer

$548

Answer

$612

Answer

$532

Answer

$512

Question 23

Triangle ABC is similar to triangle PQR. Find the value of x.

Accepted Answer

21 cm

Answer

19 cm

Answer

17 cm

Answer

15 cm

Question 24

x varies directly as the cube root of y. The value of x = 6 when y = 8. Find the value of x when y = 64.

Accepted Answer

12

Answer

10

Answer

11

Answer

14

Question 25

Fritz drives a distance of 381 km in 2 hours and 18 minutes. He then drives 75 km at a constant speed of 30 km/h. Calculate his average speed for the whole journey.

Accepted Answer

95 km/h

Answer

85 km/h

Answer

90 km/h

Answer

105 km/h

Question 26

Simplify: $$\frac{x^2-16}{x^2-3x-4}$$

Accepted Answer

$$\frac{x+4}{x+1}$$

Answer

$$\frac{x+4}{x-1}$$

Answer

$$\frac{x-4}{x-1}$$

Answer

$$\frac{x+2}{x-1}$$

Question 27

Carlos invests $4540 at a rate of r % per year compound interest. At the end of 10 years he has earned $1328.54 in interest. Calculate the value of r.

Accepted Answer

2.6%

Answer

3.6%

Answer

1.6%

Answer

4.6%

Question 28

The shop sells sun cream in bottles A, B and C. Work out which bottle is the best value.

Accepted Answer

Bottle A

Answer

Bottle B

Answer

Bottle C

Answer

Bottle A or B

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