Summary

This document is a mock test for year 9 students on mathematics. It contains a variety of questions, including geometry, trigonometry and other maths topics.

Full Transcript

4R9 AT MOCKTEST 1 a b 2 a b 3 a b 4 5 6 7 8 9 10 a b 11 a b 12 a b 13 14 15 16 find the value of h and x to the nearest centimeter 17 a ...

4R9 AT MOCKTEST 1 a b 2 a b 3 a b 4 5 6 7 8 9 10 a b 11 a b 12 a b 13 14 15 16 find the value of h and x to the nearest centimeter 17 a b 18 The diagram shows three checkpoints A, B and C. Checkpoint C is due east of Checkpoint A. The bearing of Checkpoint B from Checkpoint A is N22°E and the bearing of Checkpoint C from Checkpoint B is S68°E. The distance between Checkpoint A and Checkpoint B is 42 kilometres. a b c If a runner is travelling 12.6 km/h, how long does it take her to travel between Checkpoint A and Checkpoint B, in hours and minutes? 19 Electricity Provider A charges 25 cents per kilowatt hour (kWh) for electricity, plus a fixed monthly charge of $40. a Complete the table showing Provider A’s monthly charges for different levels of electricity usage. Provider Bcharges 35 cents per kWh, with no fixed monthly charge. The graph shows how Provider B’s charges vary with the amount of electricity used in a month. b On the grid above, graph Provider 's charges from the table in part (a). c Use the two graphs to determine the number of kilowatt hours per month for which Provider and Provider charge the same amount. d A customer uses an average of 800 kWh per month. Which provider, or , would be the cheaper option and by how much?

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