The Main Challenge
Last chance to get all seven correct. Be careful as there may be one or two tricky ones!
- (1 – 2) – (3 – 4) = ?
- 4 ÷ 0.5 = ?
- What is 25 less than the product of 20 and 10?
- How do you write “Six and six hundredths” in decimal format?
- 4,000 × 0.02 = ?
- Find 10% of £13.
- What is 31 × 15?
The 7puzzle Challenge
The playing board of the 7puzzle game is a 7-by-7 grid containing 49 different numbers, ranging from 2 up to 84.
The 1st & 2nd rows contain the following fourteen numbers:
2 8 9 14 15 17 22 28 40 48 55 63 64 72
What is the sum of the odd numbers?
The Lagrange Challenge
Lagrange’s Four-Square Theorem states that every positive integer can be made by adding up to four square numbers.
For example, 7 can be made by 2²+1²+1²+1² (or 4+1+1+1).
There are FIVE ways of making 109 when using Lagrange’s Theorem. Can you find them?
The Mathematically Possible Challenge
Using 1, 4 and 9 once each, with + – × ÷ available, which TWO numbers is it possible to make from the list below?
7 14 21 28 35 42 49 56 63 70
#7TimesTable
The Target Challenge
Can you arrive at 109 by inserting 3, 8, 10 and 12 into the gaps on both lines?
- ◯×◯–(◯+◯) = 109
- ◯×◯+◯+◯ = 109
Answers can be found here.
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