Year 3 Advanced Maths Quiz with Explanations

Year 3 Maths Paper 2 (Advanced Quiz with Explanations)

(Place Value, Calculations and Fractions)

Instructions:
Attempt all questions.
You may not use a calculator.
Show all working.
You may answer questions in any order.

Click "Submit" to check your answers and see explanations.

Section A: Number & Place Value

1. Write the largest 3-digit number you can make using the digits 4, 0, and 9. You may only use each digit once.

2. A number is between 300 and 400. Its digits add up to 15. The tens digit is double the ones digit. Tens digit is 8. What could the number be?

3. Pattern: ___, 314, 319, 324:

4. What is the difference between the largest and smallest 3-digit numbers made using digits 5, 7, and 2 once each?

5. Using <, > or =, fill in the blank: 505 + 0 ____ 505 - 0

Section B: Addition & Subtraction

6. 398 + 217 =

7. A lorry carries 467 kg of sand. Another lorry carries 378 kg. How much heavier is the first lorry?

8. Alice had £125. She spent £88 at the shop and gave £30 to her brother. How much does she have left? £___

9. The sum of two numbers is 924. One of the numbers is 387. What is the other number?

10. A farmer collected 345 eggs in one week and 217 in the next week. He sold 492 eggs. How many eggs did he have left?

11. A train travelled 105 km in one day. The next day it travelled 58 km less. How many km did it travel over the two days?

12. If 574 - ___ = 398. What is the missing number?

Section C: Multiplication & Division

13. 12 × 6 =

14. 7 children share 84 sweets equally. How many sweets does each child get?

15. A factory makes 38 toys every day. How many will it make in 7 days?

16. A baker uses 5 eggs in one cake. If he has 40 eggs, how many cakes can he bake?

17. A school has 216 students. If they have to be divided in two groups. How many students will be in each group?

18. Ajay is 15 years old. His dad is three times his age. Ajay's brother, Dave, is six years younger than him. How many times older is dad than Dave?

19. How much will Sam receive if he sells 5 chocolate bars at 30p each? ____ p

20. Sam thinks of a number. He multiplies it by 4, then adds 17. The answer is 101. What was Sam’s number?

Section D: Fractions & Problem Solving

21. Find the smaller fraction from 2/6 and 1/2:

22. A pizza is cut into 10 slices. Dan eats 2/5 of it. Emma eats 1/2 of it. How many slices are left?

23. What is 3/4 of 64?

24. Tom pours 3/8 of a litre of juice into one jug and 1/4 litre into another. How much juice did he pour altogether? Give your answer in litres. ____ litre

25. ___ + 2/5 = 1. Fill the blank:

26. A chocolate bar is shared equally among 5 children. Each child eats 3/10 of their share. What fraction of the whole bar is eaten in total?

27. Gary has saved £16. He spends a quarter of his money on a book. How much does the book cost? £____