OC Practice Mock 1 — Mathematical Reasoning (Year 3, early preparation)
A free NSW Opportunity Class (OC) placement test practice paper for Year 3 in the format of the real test: 35 questions in 40 minutes, covering Section A — Number and patterns; Section B — Measurement and geometry; Section C — Fractions, data, chance and problem solving. No calculator. Choose the best answer. Answer every question — there is no penalty for a wrong answer. Attempt it online — every question is marked instantly and the correct answers are shown at the end.
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Q1. Which number has 4 thousands, 7 tens and 3 ones?
Q2. Which of these gives the same answer as 58 + 29?
Q3. What is 398 + 247?
Q4. What is 503 − 168?
Q5. A baker puts 8 muffins on each tray. She fills 7 trays and has 5 muffins left over. How many muffins did she bake altogether?
Q6. 38 stickers are shared equally among 5 friends. Each friend gets as many stickers as possible. How many stickers are left over?
Q7. Which number is odd and is between 250 and 300?
Q8. Look at this number pattern: 64, 58, 52, 46, …
The pattern continues in the same way. What is the 8th number in the pattern?
Q9. Mia buys a sandwich for $4.65 and a juice for $2.50. She pays with a $10 note. How much change should she get?
Q10. What number goes in the box?
6 × ☐ = 54 − 12
Q11. Australian coins are 5c, 10c, 20c, 50c, $1 and $2. What is the smallest number of coins that make exactly $3.85?
Q12. In this addition, ▲ and ■ each stand for a missing digit.
4▲7 + 25■ = 723
What is ▲ + ■?
Q13. What time does this clock show?
Q14. A movie starts at 2:35 pm. It goes for 1 hour and 40 minutes. What time does it finish?
Q15. 15 March is a Tuesday. March has 31 days. What day of the week is 2 April in the same year?
Q16. How long is the pencil?
Q17. A bag of apples has a mass of 1 kg 250 g. A bag of oranges has a mass of 900 g. How much heavier is the bag of apples?
Q18. A full jug holds 2 litres of water. How many 250 mL cups can be filled from the jug?
Q19. The shape is drawn on a grid of 1 cm squares. What is the perimeter of the shape?
Q20. What is the area of the shaded shape?
Q21. This is a triangular prism. The dashed lines show edges you cannot see. How many edges does the prism have?
Q22. How many lines of symmetry does this rectangle have?
Q23. Tom is facing North. He makes a quarter turn clockwise, then a half turn. Which way is he facing now?
Q24. Mei starts at the School. She moves 3 squares right, then 2 squares up, then 1 square left. Where is she now?
Q25. The rectangle is divided into equal parts. What fraction of the rectangle is shaded?
Q26. Ava has 24 marbles. One third of them are blue. How many of her marbles are not blue?
Q27. Half of a number is 14. What is one quarter of the same number?
Q28. The picture graph shows the favourite sports of some children. How many more children chose Soccer than Cricket?
Q29. Jack made a tally of the colours of cars that drove past his school. How many cars did he count altogether?
Q30. The column graph shows how many books five children read in the holidays. Which two children together read the same number of books as Cara?
Q31. A bag has 7 red counters, 2 blue counters and 1 yellow counter. Zoe picks one counter without looking. Which statement is true?
Q32. A school buys 6 boxes of pencils. Each box has 24 pencils. The teachers give out 97 pencils. How many pencils are left?
Q33. Tickets to a show cost $12 for each adult and $7 for each child. A family of 2 adults and 3 children pays with a $50 note. How much change do they get?
Q34. I am a 2-digit number. I am in the 4 times table and in the 6 times table. My digits add up to 12. I am less than 50. What number am I?
Q35. Sam is 3 years older than Kai. Kai is twice as old as Lily. Their three ages add up to 23. How old is Sam?
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