Minimum Standard Numeracy Test, Exercises of Number Theory

Minimum Standard Numeracy Test. Sample Questions. 1. Four friends are playing a video game. Their final scores are shown below.

Typology: Exercises

2021/2022

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NSW Education Standards Authority
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Minimum Standard Numeracy Test
Sample Questions
1. Four friends are playing a video game. Their final scores are shown below.
Name
Score
Dan
87 778
Sue
78 877
Marie
87 088
Peter
78 788
Who has the highest score?
Dan
Sue
Marie
Peter
Level
Key
Reporting descriptor
pf3
pf4
pf5
pf8
pf9
pfa
pfd
pfe

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NSW Education Standards Authority

Minimum Standard Numeracy Test

Sample Questions

1. Four friends are playing a video game. Their final scores are shown below. Name Score Dan 87 778 Sue 78 877 Marie 87 088 Peter 78 788 Who has the highest score? Dan Sue Marie Peter Level 1 Key A Reporting descriptor Identifies and uses whole numbers into the thousands

2. Some common signs are shown. Which sign has the shape of an octagon? A B C D Level 1 Key A Reporting descriptor Recognises features of 2D shapes and 3D objects

5. A student leaves home at 7:40 am and arrives at school at 8:15 am. How long does he take to go to school? 25 min 35 min 55 min 75 min Level 2 Key B Reporting descriptor (^) Calculates elapsed time 6. Wayne is booking a hotel to stay during winter. He wants to sail and surf. Which hotel should he book? Aquarius Blue Heaven Crystal Sands Diamond Shores Level 2 Key C Reporting descriptor Identifies and compares information and data in tables

Kim just got off the bus at the Bus Station on Main St. In which direction does Kim have to walk to get to the County Hospital? North South East West Level 2 Key C Reporting descriptor (^) Uses direction to read everyday maps

10. The chart below shows the height limits of four road tunnels. Tunnel Signposted height limits (metres) Airport Tunnel 4. M2 Motorway 5. M5 East Main 4. Sydney Harbour 4. Truck A has a height of 4.5 metres and Truck B has a height of 4.3 metres. Which of the following shows the tunnels that both trucks can use safely? Airport Tunnel and M5 East Main M2 Motorway and M5 East Main Sydney Harbour and M2 Motorway M5 East Main and Sydney Harbour Level 2 Key B Reporting descriptor Interprets and flexibly uses decimals 11. To get a shade of blue, a painter mixes blue paint and white paint in the ratio of 4:1. How many litres of blue paint and white paint would be needed to get 60 litres of the required shade of blue? 55 blue and 5 white 48 blue and 12 white 45 blue and 15 white 40 blue and 20 white Level 3 Key B Reporting descriptor Uses and applies ratio

12. A person’s height (H) in cm is estimated to be 4 times the length of their forearm (F) in cm plus 10 cm. This can be written as a formula H = 4F + 10. According to the formula, if Ben is 170 cm in height, what is the estimated length of his forearm? 32.5 cm 40 cm 45 cm 52.5 cm Level 3 Key B Reporting descriptor Interprets and uses simple formulae that describe relationships between variables 13. Each minute 100 L of water is taken from a tank to water crops. After the crops had been watered for 10 minutes the tank contained 8000 L. How much water was in the tank before the crops were watered? 7000 L 7900 L 8100 L 9000 L Level 3 Key D Reporting descriptor Performs a range of calculations to add and multiply

15. The diagram shows part of a plan of a house roof. What is the size of the angle at X? 90° 100° 110° 130° Level 3 Key D Reporting descriptor (^) Describes common 2D shapes in terms of angle properties 16. There were 280 passengers on a plane. Three-quarters of the passengers were adults. How many adult passengers were on the plane? 70 140 210 350 Level 3 Key C Reporting descriptor Interprets and uses familiar fractions – fraction of amount

17. Jumping Jeans is having a sale. The table shows the normal and sale prices. Brand Normal Price Sale Price Stretchee $150 $ Blues Bros $80 $ Roughers $200 $ Riders $120 $ Which brand of jeans has had the normal price reduced by one-third? Stretchee Blues Bros Roughers Riders Level 3 Key A Reporting descriptor Interprets and uses familiar fractions – expresses one amount as fraction of another 18. Glenn is paid $40 an hour but on Saturdays he is paid time-and-a-half. He works for 6 hours each day Monday to Friday and 4 hours on Saturday. How much is he paid each week? $ $ $ $ Level 3 Key C Reporting descriptor Performs a range of calculations to multiply and add

Calculator 21. An Aboriginal artist has painted this circular plate, which will be glazed to protect the paint. To work out how much glaze to use, the artist needs to know the area of the plate. Which of the following is the best approximation for the area of the circular plate in cm^2? 30 80 100 200 Level 4 Key B Reporting descriptor Calculates quantities, including areas and volumes, using relevant routine formulae 22. Michelle has an average score of 70 for three tests. What must she score on the next test to increase her average to 74? 74 78 82 86 Level 4 Key D Reporting descriptor Calculates and interprets mean in a variety of contexts

23. Alex is travelling from Town A to Town B. Her map has a scale of 1:100 000. She uses a ruler to measure the distance between the two towns. The distance on the map is 2.6 cm. How far does Alex have to travel? 2.6 km 26 m 26 km 260 m Level 4 Key A Reporting descriptor Calculates and interprets information based on maps including scales 24. A wheelbarrow weighs w kg when empty. It is filled with n bricks each weighing b kg. The total weight in kilograms of the wheelbarrow and bricks is nb + w. n + b + w. n ( b + w ). nbw. Level 4 Key A Reporting descriptor Interprets and uses simple formulae that describe relationships between variables