NAPLAN-style Practice Test 1 — Numeracy (Year 9)
A free NAPLAN (Years 3, 5, 7 and 9) practice paper for Year 9 in the format of the real test: 48 questions in 65 minutes, covering Section A — Non-calculator; Section B — Calculator allowed. Section A: no calculator. Section B: you may use a calculator. Choose or type your answer. Attempt it online — every question is marked instantly and the correct answers are shown at the end.
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Q1. Simplify 34 × 35 ÷ 32.
Q2. A grain of sand has a diameter of 0.000 36 metres. What is this in scientific notation?
Q3. Calculate (−6) × 4 − (−15) ÷ 3.
Q4. Which list is in order from smallest to largest?
Q5. Simplify 5x − 2(x − 3).
Q6. Solve (3k − 5) ÷ 2 = 11.
k =
Q7. Which is the best estimate of 49.7 × 0.198?
Q8. A jacket priced at $80 is reduced by 15%. What is the sale price?
Q9. Expand and simplify (x + 5)(x − 3).
Q10. A cricket bat costs $143 including 10% GST. What is the price before GST is added?
Q11. What is the size of each interior angle of a regular octagon?
Q12. The mean of Priya's five maths test scores is 72. Four of her scores are 68, 75, 81 and 59. What is her fifth score?
Q13. Solve 7 − 2x > 15.
Q14. A 6.5 m ladder leans against a vertical wall. The foot of the ladder is 2.5 m from the wall on level ground. How high up the wall does the ladder reach? (The diagram is not drawn to scale.)
Answer: m
Q15. The price of a house in Geelong rose from $640 000 to $712 000. What was the percentage increase?
Q16. The scatter plot shows the maximum temperature and the number of ice creams sold at a beach kiosk on 13 summer days. Which statement best describes the data?
Q17. What is the gradient of the straight line that passes through the points (−2, 3) and (4, −9)?
Q18. The shape is made from a rectangle and a semicircle. What is its area, correct to one decimal place?
Q19. Mei invests $4500 in an account that pays 3.2% per annum simple interest. How much interest will she earn in 4 years? dollars
Q20. The stem-and-leaf plot shows the maximum temperature in Brisbane on 13 days. What is the median temperature?
Q21. Factorise fully: 12a2 − 18ab
Q22. A bushwalking map has a scale of 1 : 25 000. Two campsites are 7.4 cm apart on the map. What is the actual distance between them?
Q23. What is the equation of the straight line shown?
Q24. Two fair six-sided dice are rolled and the numbers are added. What is the probability that the total is 9?
Q25. The two horizontal lines are parallel. What is the value of x?
Q26. A surf shop buys a surfboard for $380 and sells it for $513. What is the profit as a percentage of the cost price?
Q27. Solve 5(p − 2) = 3p + 14.
p =
Q28. A rectangular paddock is 120 m long and 85 m wide. A farmer walks in a straight line from one corner to the opposite corner. How far does she walk, to the nearest metre?
Q29. The box plot shows how long students at a school take to travel to school. What is the interquartile range?
Answer: minutes
Q30. The energy of a moving car is given by E = ½mv2, where E is in joules, m is the mass in kilograms and v is the speed in metres per second. Find E when m = 1500 and v = 16.
Q31. A cylindrical rainwater tank has a diameter of 1.8 m and a height of 2.2 m. How many litres does it hold when full, to the nearest 100 litres? (1 m3 = 1000 L)
Q32. Milk is sold in four sizes. Which is the best value for money?
Q33. The table shows the results of a survey of Year 9 students. One of these students is chosen at random. What is the probability that the student plays sport but does not learn an instrument?
Q34. Make t the subject of v = u + at.
Q35. At the same time of day, a person 1.8 m tall casts a shadow 2.4 m long and a gum tree casts a shadow 14 m long. How tall is the tree? m
Q36. A die was rolled 250 times and a six came up 55 times. Using this relative frequency, how many sixes would you expect in 600 rolls?
Q37. A family drives 342 km from Sydney to Canberra in 3 hours 48 minutes. What is their average speed?
Q38. Liam earns $27.40 per hour. One week he works 38 hours at the normal rate and 6 hours of overtime at time-and-a-half. How much does he earn that week?
Q39. At the school canteen, 3 sausage rolls and 2 juices cost $13.50. One sausage roll and 2 juices cost $7.50. What is the cost of one juice, in dollars? dollars
Q40. Find the total surface area of this triangular prism.
Answer: cm2
Q41. The mean of six numbers is 15. When a seventh number is added, the mean becomes 17. What is the seventh number?
Q42. Two photo frames are similar. The lengths of the larger frame are 1.5 times the lengths of the smaller frame. The smaller frame has an area of 240 cm2. What is the area of the larger frame?
Q43. A pattern is made from matchsticks. Pattern 1 uses 5 matchsticks, Pattern 2 uses 9 and Pattern 3 uses 13. The pattern continues in the same way. How many matchsticks are in Pattern 50?
Q44. A kite string is 45 m long and makes an angle of 38° with the level ground. What is the height, h, of the kite, correct to one decimal place?
Q45. A store takes 20% off the price of a television. At a clearance sale, a further 10% is taken off the reduced price. What is the overall percentage discount on the original price?
Q46. A running track has two straight sections, each 80 m long, and a semicircle at each end. The diameter of each semicircle is 50 m. What is the total distance around the track, to the nearest metre?
Answer: m
Q47. A bag has 5 red and 3 blue marbles. Two marbles are taken out at random, one after the other, without replacement. What is the probability that both are red?
Q48. The diagram shows the side view of a swimming pool. The pool is 10 m wide and its floor slopes evenly from 1.2 m deep to 2.4 m deep. What volume of water does the pool hold when full?
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