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Study in the app →Mathematics · Year 4 · Chapter 1
The hard facts
Practice
- 6 × 6
- 36
- 6 × 7
- 42
- 6 × 8
- 48
- 7 × 7
- 49
- 7 × 8
- 56 — (5×8) + (2×8)
- 8 × 8
- 64
- 9 × 7
- 63
- 9 × 8
- 72 — (10×8) − 8
- 6 × 9
- 54 — (6×10) − 6
- 7 × 9
- 63
Easy questions
- 6 × 6
- 36
- 7 × 7
- 49
- 8 × 8
- 64
- 6 × 7
- 42
- 9 × 9
- 81
Medium questions
- 7 × 8
- 56
- 6 × 8
- 48
- 9 × 7
- 63
- 8 × 4
- 32
- 9 × 6
- 54
Hard questions
- Forgot 7 × 8? Build it from fives and twos.
- (5×8) + (2×8) = 40 + 16 = 56
- 9 × 8 the fast way
- (10×8) − 8 = 72
- 12 × 7
- 84 — (10×7) + (2×7)
- Which is bigger: 7 × 9 or 8 × 8?
- 8 × 8 = 64, just beats 63
- 6 × 9 without the 9s table
- (6×10) − 6 = 54
Lesson
You know more than you think
Two ideas shrink the hard tables. First: turning a fact around costs nothing — 8 × 7 IS 7 × 8. Learn one, own both; that alone halves the work. Second: hard facts are built from easy ones. 7 × 8 is five eights plus two eights: 40 + 16 = 56. 9 × 8 is ten eights minus one eight: 80 − 8 = 72. 6 × 7 is five sevens plus one seven: 35 + 7 = 42. The 5s, 10s and 2s you already own are the raw material for the 6s, 7s and 8s. Derive a fact a few times and it stops needing deriving — that's exactly what the repetition here is for. The goal is that 7 × 8 = 56 eventually just appears, the way your own name does.
- 7 × 8 = (5 × 8) + (2 × 8) = 40 + 16 = 56.
- 9 × 8 = (10 × 8) − 8 = 80 − 8 = 72.
- 6 × 7 = (5 × 7) + 7 = 35 + 7 = 42.
- 8 × 7 = 7 × 8. Turn any fact around for free.
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