YEAR 8 MATHS Topic: RATIO & RATES (Chapter 4) REVISION

[Pages:2]YEAR 8 MATHS Topic: RATIO & RATES (Chapter 4) REVISION

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Show appropriate working on this revision. You are free to use a calculator on this revision. Round off answers to 2 decimal places when necessary.

Remember with RATIOS the ORDER MATTERS

Question 1 Write a numerical ratio for sheep to cows below.

Question 4 Simplify the following ratios. Eg. 6 : 15 = 2 : 5

(a) 18 : 20

(b) 4 cm : 10 mm

Question 2 A classroom has 15 girls and 11 boys. (a) Find the ratio of boys to girls.

(b) Find the ratio of girls to the total number of students in the class.

Question 5 Choose the correct answer. A mixed baseball team has 4 boys and 8 girls. The simplest ratio of girls to team members is:

A 3 : 2 B 8 : 4 C 4 : 8 D 2 : 3

Question 6 Eg. 48 divided in the ratio of 5 : 3 . There are 8 `parts' in total (5+3), so divide 48 by 8 which gives you 6, then times that by each part of the ratio to get 30 (6X5) & 18 (6X3). The answer then is 30 and 18

Divide 35 in the ratio 3 : 4.

Question 3 Choose the correct answer. A soccer team has 4 boys and 7 girls. The ratio of boys to girls is:

A 4 : 7 B 11 : 4 C 4 : 11 D 7 : 4 E 11 : 7

Question 7 A box of chocolates contains hard-centred and soft-centred chocolates in the ratio 5 : 2. If there are 49 chocolates in the box, how many are hard-centred and how many are softcentred?

Hard-Centred___________ Soft-Centred__________ 1

Question 8 Convert 4 cm : 2 m to into a proper scale.

Question 12 Calculate the average speed in km/h for each of the following. (a) a walker that travels 0.9 km in 15 minutes

Question 9 Choose the correct answer. If the scale is 1 : 100 000, the diagram length of 8 km is represented by:

A 8 m B 8 mm C 8 cm D 80 cm E 80 m

REMEMBER: AVERAGE SPEED = DISTANCE ? TIME

Question 10 Eg. A car travels 150 km in 3 hours has an average speed of 150 ? 3 = 50 km/h

Calculate the average speed in km/h for each of the following.

(a) a bike that travels 30 km in 2 hours

(b) a train that travels 180 km in 4 hours

(b) a car that travels 11 km in 10 minutes

Question 13 Jack and John walk to school each morning. The school is approximately 1.8 km away. If it takes them 30 minutes to walk the distance, calculate their average speed in: (a) metres/minute

(b) km/h

Question 11 Eg. A cyclist travels 8 km in 15 min. ( 1 hour)

4 has an average speed of 8 X 4 = 32 km/h Calculate the average speed in km/h for each of the following. (a) a runner that runs 6 km in 20 minutes

(b) a plane that travels 325 km in 30 minutes

Question 14 Choose the correct answer and show your working to get the full marks on the similar test question. On a recent bushwalking excursion, the party of hikers travelled 3.5 km in 1 hours 45 minutes. Their average speed was:

A 2.45 km/h B 2.35 km/h C 2 km/h D 5.45 km/h E 1.45 km/h

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