NAPLAN-style Practice Test 1 — Numeracy (Year 7)
A free NAPLAN (Years 3, 5, 7 and 9) practice paper for Year 7 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. What is 0.46 × 100?
Q2. Work out 3/4 − 1/3. Write your answer as a fraction.
Q3. What is −7 + 12 − (−3)?
Q4. What is the value of 20 − 4 × 3 + 6 ÷ 2?
Q5. What is 35% of $60?
Q6. Which is the best estimate of 798 × 41?
Q7. Which of these numbers is the largest?
Q8. Work out 2.4 ÷ 0.3
Q9. A damper recipe uses flour and sugar in the ratio 5 : 2. Jack uses 350 g of flour. How much sugar should he use?
Q10. A car travels 195 km from Canberra to Wollongong in 2 hours 30 minutes. What is its average speed? km/h
Q11. Milk is sold in four sizes. Which size is the best value for money?
Q12. A concert ticket cost $80. The price increased by 15%. What is the new price?
Q13. A surfboard normally costs $450. It is on sale with 30% off. What is the sale price in dollars? dollars
Q14. Simplify 3a + 5b − a + 2b
Q15. Solve 4x − 7 = 29. x =
Q16. What is the value of 23 × 32?
Q17. The table shows values of x and y. Which rule connects them?
Q18. Matchsticks are used to make a row of squares. Pattern 1 uses 4 matchsticks, Pattern 2 uses 7 and Pattern 3 uses 10. How many matchsticks are needed for Pattern 20?
Answer:
Q19. At Thredbo the temperature at 6 am was −4 °C. By midday it had risen 11 degrees. By 9 pm it had fallen 9 degrees from the midday temperature. What was the temperature at 9 pm?
Q20. Movie tickets cost $12 each and there is a single $5 booking fee for the whole order. Which expression gives the total cost, in dollars, of n tickets?
Q21. What is the value of 53 − 42?
Q22. Which of these has the greatest value?
Q23. Solve 3(x + 4) = 5x − 2. x =
Q24. What is the area of this triangle?
Q25. What is the area of this parallelogram?
Answer: m²
Q26. The diagram shows the floor plan of a room. All corners are right angles. What is the area of the floor?
Q27. What is the volume of this triangular prism? The triangle has a right angle.
Answer: cm³
Q28. A rainwater tank is a rectangular prism 2 m long, 1.5 m wide and 0.8 m high. How many litres of water can it hold when full? (1 m³ = 1000 L)
Q29. The diagram shows three angles on a straight line. What is the value of x?
Q30. This triangle is isosceles. The two marked sides are equal. What is the value of x?
Answer:
Q31. The two horizontal lines are parallel. What is the value of x?
Q32. In June, Sydney time is 2 hours ahead of Perth time. A flight leaves Perth at 11:45 pm (Perth time) and the flight takes 4 hours 20 minutes. What is the time in Sydney when the plane lands?
Q33. Mia arrives at the Park St bus stop at 8:10 am and catches the next bus to Lighthouse. How many minutes after arriving at Park St does she reach Lighthouse?
Q34. A bushwalking map has a scale of 1 : 25 000. Two campsites are 6.4 cm apart on the map. What is the actual distance between them?
Q35. Point A is reflected in the y-axis. What are the coordinates of its image?
Q36. P, Q and R are three corners of rectangle PQRS. What is the area of rectangle PQRS in square units?
Answer: square units
Q37. The point (2, 5) is rotated 90° clockwise about the origin. What are the coordinates of its new position?
Q38. Ella scored these runs in six cricket innings: 23, 8, 41, 17, 8, 35. What is her mean score?
Q39. The maximum temperatures in Darwin over eight days were 31, 33, 32, 34, 30, 33, 35 and 29 degrees Celsius. What is the median temperature? °C
Q40. The dot plot shows the number of people living in each house on a street. What is the median number of people per house?
Q41. The column graph shows the rainfall in a Brisbane suburb over six months. In which month was the rainfall exactly half of February's rainfall?
Q42. The line graph shows the temperature in Hobart during one day. By how many degrees did the temperature rise between 6 am and 2 pm?
Answer: °C
Q43. All 540 students at a school were asked how they travel to school. The sector graph shows the results. How many students walk to school?
Q44. A bag holds 5 red, 3 blue and 4 green marbles. One marble is taken out without looking. What is the probability that it is not red?
Q45. This spinner has 8 equal sections. What is the probability, as a decimal, that the spinner lands on 2?
Q46. The two-way table shows whether 100 Year 7 students play a musical instrument. What percentage of the girls play an instrument?
Answer: %
Q47. The mean of five numbers is 14. Four of the numbers are 10, 12, 15 and 18. What is the fifth number?
Q48. A fair six-sided die is rolled 300 times. About how many times would you expect it to land on 6?
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