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Stage 9 · Mixed operations

Grandmaster mix

Pick the fastest route on the spot.

How to do it

Method

Pick the fastest route on the spot

43 × 11: 4 + 3 = 7 → 473

Another way

Column multiplication

43 × 11 = 430 + 43 = 473

In full

No cues, no pattern, every technique in play. At this level the skill isn't how many facts you remember — it's picking the fastest route on the spot.

Worked examples

Have a go first, then open each one for the answer and the working.

  1. Example 1

    (48 ÷ 4) × 4

    Show the answer and working

    Answer: (48 ÷ 4) × 4 = 48

    (48 ÷ 4) × 4: brackets first, 48 ÷ 4 = 12, 12 × 4 = 48

  2. Example 2

    (20 ÷ 2) × 8

    Show the answer and working

    Answer: (20 ÷ 2) × 8 = 80

    (20 ÷ 2) × 8: brackets first, 20 ÷ 2 = 10, 10 × 8 = 80

  3. Example 3

    28 × 11

    Show the answer and working

    Answer: 28 × 11 = 308

    28 × 11: split 2 and 8, the middle is 2 + 8 = 10, which carries: 2 + 1 = 3, 0 in the middle → 308

  4. Example 4

    99 × 93

    Show the answer and working

    Answer: 99 × 93 = 9207

    99 × 93: 99 is 1 short of 100, 93 is 7 short. Front 99 − 7 = 92, back 1 × 7 = 7, the back is always two digits: 7 is written 07, front then back → 9207

Practise grandmaster mix in the game →Stage 9 · Mixed operations · Free to start, unlimited questions, no download