RemeliaMaths Year 6 Calculation (4 operations)
Year 6 calculation: six questions and the common mistakes
Under each answer are the wrong answers a child often gives to it, five different mistakes on this page, and what Remelia tells the child who gives one.
Questions written by Remelia for the objectives of the national curriculum for England; not taken from any test paper.
Six questions
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1,693 ÷ 23 = ?
Give your answer with a remainder, like "24 r 3".
Show the answer to question 1
Answer: 73r14 (also accept 73 remainder 14)
Why:
Build a table of 23 first, then divide.
1,693 ÷ 23 = 73 remainder 14.
Common mistakes:
- 74r9: It looks as if you went up to a multiple bigger than the number you are dividing. Use the biggest multiple that is not more than it: what is left over is the remainder.
-
You know that 9 × 11 = 99.
Use it to work out 9,000 × 110 in your head.
Show the answer to question 2
Answer: 990,000
Why:
9,000 is 9 × 1,000 and 110 is 11 × 10.
9 × 11 = 99, then × 10,000: 990,000.
Common mistakes:
- 9,900,000: Your digits are right, but in the wrong columns: your answer is 10 times too big.
- 99,000: Your digits are right, but in the wrong columns: your answer is 10 times too small.
-
What is the lowest common multiple (LCM) of 24 and 34?
Show the answer to question 3
Answer: 408
Why:
List multiples until they meet: 408 is the first number in both times tables.
Common mistakes:
- 2: That is a common factor, not a common multiple. A multiple is in a number’s times table, so the lowest common multiple is never smaller than the bigger number.
-
What is the highest common factor (HCF) of 15 and 37?
Show the answer to question 4
Answer: 1
Why:
Factors of 15: 1, 3, 5, 15
Factors of 37: 1, 37
Highest in both: 1.
Common mistakes:
- 555: That is a common multiple, not a common factor. A factor divides into a number exactly, so the highest common factor is never bigger than the smaller number.
-
1,174 ÷ 19 = ?
Give your answer with a remainder, like "31 r 2".
Show the answer to question 5
Answer: 61r15 (also accept 61 remainder 15)
Why:
Build a table of 19 first, then divide.
1,174 ÷ 19 = 61 remainder 15.
Common mistakes:
- 62r4: It looks as if you went up to a multiple bigger than the number you are dividing. Use the biggest multiple that is not more than it: what is left over is the remainder.
-
You know that 3 × 4 = 12.
Use it to work out 300 × 4,000 in your head.
Show the answer to question 6
Answer: 1,200,000
Why:
300 is 3 × 100 and 4,000 is 4 × 1,000.
3 × 4 = 12, then × 100,000: 1,200,000.
Common mistakes:
- 12,000,000: Your digits are right, but in the wrong columns: your answer is 10 times too big.
- 120,000: Your digits are right, but in the wrong columns: your answer is 10 times too small.
Answers
- 1. 73r14 (also accept 73 remainder 14)
- 2. 990,000
- 3. 408
- 4. 1
- 5. 61r15 (also accept 61 remainder 15)
- 6. 1,200,000
How Remelia uses a mistake
When a wrong answer matches one of these mistakes, the app says what the child seems to have done before they try again, and brings the objective back on a later day.
Remelia practises maths for the child's own year group, in short sessions, and brings back on later days what they got wrong.