Year 4 Math Practice Questions and Topics

Year 4 (ages 8–9) is where multiplication and division of larger numbers take over as the main focus, alongside completing the times tables up to 12 × 12 — a genuine milestone, since every UK primary school checks this specific fact recall in a national test at the end of this year. Children multiply and divide two-digit numbers by a single digit, extend addition and subtraction to four-digit numbers, and go further with fractions, including finding fractions of quantities and starting to compare and order them. Money and time problems become multi-step rather than single calculations, and decimals are introduced for the first time, in a simple tenths form.

By the end of Year 4, a child should recall all times tables up to 12 × 12 with genuine speed (not working them out each time), multiply a two-digit number by a one-digit number reliably, and understand a decimal like 0.7 as "seven tenths," connecting it back to the fraction they already know.

The most common difficulty is the multiplication tables themselves — not understanding what multiplication means, which most children have by now, but pure recall speed under the time pressure of the national check. Children who understand the concept perfectly can still score poorly simply because 7 × 8 isn't yet automatic. The second frequent snag is connecting fractions and decimals: a child can usually say "0.5 is a half" when asked directly, but struggles to see that 0.5 and 5/10 are the same amount when the two appear in the same problem, because they were taught somewhat separately.

This year's times-table fluency is the single biggest predictor of how comfortable Year 5 feels, since Year 5 assumes instant recall and moves straight into more complex fraction and decimal arithmetic that leans on it constantly.

At home, short, frequent, low-pressure times-table practice — a minute or two most days rather than one long session — is worth more than almost anything else a parent can do this year, precisely because speed is what's being built, not understanding. Real money (working out change, splitting a bill) is a natural way to practise decimals in a context that already makes sense.

10 topics · 110 practice questions available

Topics covered

Addition

10 questions

Addition

Subtraction

10 questions

Subtraction

Multiplication

10 questions

Multiplication

Division

10 questions

Division

Place Value

10 questions

Place Value

Fractions

10 questions

Fractions

Money

10 questions

Money

Time

10 questions

Time

Patterns

20 questions

Patterns

Word Problems

10 questions

Word Problems

Sample questions by topic

17 sample questions across every topic above — a small slice of the full bank, with the answer and full explanation shown for each.

Addition

Addition — question 1Normal

What is 25 + 13?

  • 36
  • 38✓ Correct
  • 39
  • 41

Why: Add ones: 5+3=8. Add tens: 2+1=3. Answer: 38.

Addition — question 2Average

What is 47 + 36?

  • 73
  • 81
  • 83✓ Correct
  • 93

Why: 7+6=13, write 3 carry 1. 4+3+1=8. Answer: 83.

Subtraction

Subtraction — question 1Normal

What is 58 − 24?

  • 32
  • 34✓ Correct
  • 36
  • 38

Why: 8−4=4 and 5−2=3. Answer: 34.

Subtraction — question 2Average

What is 82 − 45?

  • 37✓ Correct
  • 43
  • 47
  • 33

Why: Borrow: 12−5=7, then 7−4=3. Answer: 37.

Multiplication

Multiplication — question 1Normal

What is 4 × 5?

  • 9
  • 16
  • 20✓ Correct
  • 25

Why: 4 groups of 5 = 20.

Multiplication — question 2Average

What is 9 × 9?

  • 72
  • 79
  • 81✓ Correct
  • 89

Why: 9 × 9 = 81.

Division

Division — question 1Average

What is 36 ÷ 6?

  • 5
  • 6✓ Correct
  • 7
  • 8

Why: 6 × 6 = 36, so 36 ÷ 6 = 6.

Place Value

Place Value — question 1Average

Which number is the greatest?

  • 489
  • 498✓ Correct
  • 479
  • 497

Why: All have 4 hundreds. Compare tens: 9 is highest, then ones: 498 > 497.

Fractions

Fractions — question 1Good

What fraction of this word is the letter A: 'BANANA'?

  • 2/6
  • 3/6✓ Correct
  • 4/6
  • 1/6

Why: BANANA has 6 letters and 3 are A: 3/6 (one half).

Time

Time — question 1Good

What time is quarter to 9?

  • 9:15
  • 8:45✓ Correct
  • 9:45
  • 8:15

Why: Quarter to 9 means 15 minutes before 9 — that is 8:45.

Patterns

Patterns — question 1Good

What comes next: 1, 2, 4, 8, ___?

  • 10
  • 12
  • 14
  • 16✓ Correct

Why: Each number doubles: 8 × 2 = 16.

Patterns — question 2Good

What comes next? cat, cat, dog, cat, cat, ___

  • cat
  • bird
  • dog✓ Correct
  • cow

Why: The pattern is cat, cat, dog repeating — so dog comes next.

Patterns — question 3Good

What comes next? 2, 4, 6, ___

  • 8✓ Correct
  • 7
  • 9
  • 10

Why: The pattern counts up in twos, so after 6 comes 8.

Patterns — question 4Good

What comes next? clap, stamp, clap, stamp, ___

  • jump
  • hop
  • stamp
  • clap✓ Correct

Why: The pattern repeats clap, stamp — so clap comes next.

Patterns — question 5Expert

What is MISSING? red, blue, ___, blue, red

  • yellow
  • green
  • blue
  • red✓ Correct

Why: The pattern repeats red, blue — so the missing one is red.

Patterns — question 6Expert

What comes next? 10, 9, 8, ___

  • 6
  • 11
  • 9
  • 7✓ Correct

Why: The pattern counts backwards by one, so after 8 comes 7.

Word Problems

Word Problems — question 1Good

Each hand has 5 fingers. How many fingers do 4 children have on both hands?

  • 20
  • 30
  • 40✓ Correct
  • 50

Why: Each child has 10 fingers. 4 × 10 = 40 fingers.

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