Grade 8
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Question 1 of 30
1. Question
Six men are employed to complete a job in 8 days. After 3 days’ work, 2 of the men are taken off the job. Find the total time it takes for the job to be completed from start to finish.
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Question 2 of 30
2. Question
It takes Hannah 4 hours to clean her room. When her mother cleans the room it only takes 2 hours. If Hannah started cleaning her room at 3 pm, and her mother started helping her after one hour, what time would they finish?
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Question 3 of 30
3. Question
Donald can complete a job in 20 minutes. If he has been working on the job for 10 minutes, then is joined by Daffy and the job is completed in another 6 minutes, how long would it have taken Daffy to do the job by herself?
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Question 4 of 30
4. Question
Harley Primary School has 240 students. Twothirds of the students who attend the school play weekend sport. This number equals twoninth of the number of students who attend the nearby Harley High School. How many students attend the high school?
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Question 5 of 30
5. Question
Julia found a bag of money. When it was unclaimed the police told her she could keep it. She decided to give onequarter of the money to her parents, onefifth to her sister and oneeleventh of the remainder to her brother. If her brother received $32, how much did she find?
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Question 6 of 30
6. Question
Students from Year 7, 8 and 9 raised money for a charity. Year 7 students raised onesixth of the total and Year 9 students raised threeeighths. If Year 8 students contributed $4400, what was raised by Year 9 for the charity?
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Question 7 of 30
7. Question
An alloy consists of 25% nickel, 40% zinc and copper as the remainder. If a block of the alloy consists of 8 kg of zinc, what is the mass of copper in the block?
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Question 8 of 30
8. Question
A paperback has a recommend retail price (RRP). Eric paid $18 for the book at a store offering a 25% discount off RRP, while Jamie bought it from another store with a 35% discount. What was the difference in price?
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Question 9 of 30
9. Question
The manager of Nikki’s Nuts bought some nuts from a producer. He purchased 30kg of nuts at $4 per kilogram and another 20 kg of nuts at $5 per kilogram. If the nuts are to be mixed and sold to make a 75% profit, what will be the sale price per kilogram?
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Question 10 of 30
10. Question
All vehicles at Sam’s Quality Cars are priced at a profit of 40% on cost price. When Tony bought a car from the dealership he bargained the price down and received a discount of 20% on the sale price. If the dealership still made a profit of $3600 on the sale, what was the original cost of the car for the dealership?
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Question 11 of 30
11. Question
Lana’s Jewellery store is having a sale. The prices of all diamond rings drop by 20%. On a particular engagement ring the amount of GST drops by $70.40. What is the discounted price of the ring?
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Question 12 of 30
12. Question
There are 28 students on the 8M1 class roll. On a particular day a quarter of the student is absent and 15% of the remainder are helping the principal. What is the ratio of those students present in a class to those who are on the excursion?
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Question 13 of 30
13. Question
The ratio of the populations of Town A and Town B is 5:3 and the ratio of the populations of Town B and Town C is 4:7. If the total population of the three towns is 15900, find the population of each town.
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Question 14 of 30
14. Question
Two maps are drawn for the same area of land. The scale on Map A is 1:8000 while the scale on Map B is 1:12000. Two towns are 24 cm apart on Map A. How far are they apart on Map B?
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Question 15 of 30
15. Question
Elise takes 10 minutes to cycle around a rectangular park at an average speed of 12 km/h. If the ratio of length to width of the park is 3:2, what is the area of the park in hectares?
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Question 16 of 30
16. Question
A train is 1 km long. It travels through a 2km tunnel at a speed of 60 km/h. From the moment the train enters the tunnel how long will it take before the entire train travels completely through the tunnel?
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Question 17 of 30
17. Question
The average of the ages of three brothers is 13. If the middleaged boy is 9 years younger than the eldest and 3 years older than the youngest, how old are the boys?
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Question 18 of 30
18. Question
Kate’s grandmother is four times as old as Kate is now. In 6 years’ time she will be 2 years older than three times Kate’s age. How old are Kate and her grandmother now?
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Question 19 of 30
19. Question
Find three consecutive odd numbers such that five times the middle number is three more than twice the sum of the first number and the third number.
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Question 20 of 30
20. Question
Jocelyn left the post office at Kalgoorlie at 10 am and travelled east at an average speed of 90 km/h. An hour later Chloe left the post office and travelled west at an average speed of 100 km/h. At what time were they 356 km apart?
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Question 21 of 30
21. Question
Cooper had $10000 to invest. He invested an amount at Sumbank at 8% interest per annum and the rest at another bank at 7% per annum. If his total annual interest was $765, find the amount invested at Sumbank.
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Question 22 of 30
22. Question
On a clock the length of the hour hand is 3 cm shorter than the minute hand. How much further does the minute hand travel compared to the hour hand in 12 hours if the hour hand is 5 cm in length. Give your answer to the nearest centimetre.
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Question 23 of 30
23. Question
ABCD is a parallelogram and M lies on DC where DM=MC. What is the ratio of the area of triangle DBM to the area of the parallelogram ABCD?
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Question 24 of 30
24. Question
Chocolate bars are produced in the shape of a triangular prism. The base of the bar is a rightangled isosceles triangle with two sides 30 mm. Chocolate to produce the bars is melted from a block in the shape of a squarebased prism with dimensions 20 cm, 20 cm and 9 cm. If chocolate from the block can make 400 chocolate bars, what is the depth of each bar?
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Question 25 of 30
25. Question
When Lachlan drives to work he picks up his workmate Ryan. Lachlan lives directly 18 km south of Ryan and their workplace is 15 km directly east of Ryan’s house. Lachlan always drives at 40 km/h. How much time would Lachlan save if he did not have to pick up Ryan?
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Question 26 of 30
26. Question
Two yatchs are sailing away from the same buoy. Yatch A is sailing east at 12 km/h and Yatch B is sailing south at 16 km/h. How far apart are the yachts after two and a half hours?
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Question 27 of 30
27. Question
In the first 8 games of her basketball season, Avery scored a mean of 11.5 points. In the ninth game she only scored 4 points. What will she need to score in the tenth game to have an overall mean of 11 points per game?
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Question 28 of 30
28. Question
Kelvin could not remember his scores from 5 history tests marked out of 100. He did remember that the mean was 80, the median was 83, and the mode was 84. If all his scores were whole numbers, what was the lowest score he could have received on any one test?
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Question 29 of 30
29. Question
In a tennis club there are 8 more females and males. If a person is selected from the members of the club, the probability that the person is make is 3/7. How many female members are in the club?
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Question 30 of 30
30. Question
A bag contains red frogs, green frogs and black frogs. There are four times as many red frogs as black frogs and half as many black frogs as green frogs. Anna selected a frog at random from the bag, noted that it was red and ate it. If 34 frogs remain in the bag, what is the chance that the next frog chosen at random will be red?
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