DAY/DYDD 55:

The Main Challenge

Can You Pass A Simple Math Test? was published in the USA in an attempt to emphasise the importance of adult numeracy skills. It contains five multiple choice questions.

Simply answer a, b, c or d each time:

  1. How many seconds are in 2 hours?   a)8,300  b)7,200  c)3,600  d)9,000
  2. What is (4×5)+(718÷3)?   a)42  b)74  c)23  d)21
  3. Calculate 235×13.   a)3,125  b)3,055  c)3,575  d)3,315
  4. If c+d=d, what must the value of c equal?   a)1  b)0.5  c)0  d)1
  5. Which decimal number is equivalent to 3/5?   a)0.35  b)0.53  c)0.6  d)0.3

The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid of 49 different numbers, ranging from up to 84.

The 1st & 5th rows contain the following fourteen numbers:

2   6   7   9   14   15   16   21   22   40   50   72   81   84

What is the sum of the multiples of 9?

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 THREE ways of making 55 when using Lagrange’s Theorem. Can you find them?

The Mathematically Possible Challenge

Using 89 and 10 once each, with + – × ÷ available, which is the ONLY number it is possible to make from the list below?

90    91    92    93    94    95    96    97    98    99

#NumbersIn90s

The Target Challenge

Can you arrive at 55 by inserting 2, 5, 10 and 15 into the gaps on each line?

  •  ◯×◯–◯×◯ = 55
  •  (◯+◯)×◯+◯ = 55
  •  (◯+◯)×◯–◯ = 55
  •  (◯–◯)×◯+◯ = 55
  •  (◯–◯)×◯–◯ = 55

Answers can be found here.

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