Magazine article
*Mathematics Teaching*

# Pick and Mix: Mathematical Challenges for a KS2 Classroom

## Article excerpt

Activities taken from the ATM publication Pick and mix: Mathematical challenges for a KS2 classroom.

Guzintas (What goes into...)

What are the factors of 10? How many factors does 10 have?

What are the factors of 100? How many factors does 100 have?

What are the factors of 1000? How many factors does 1000 have?

What are the factors of 10000? How many factors does 10000 have?

Summing consecutive numbers

6, 7 and 8 are three consecutive numbers.

Their sum is 6 + 7 + 8 = 21.

Can you find three consecutive numbers whose sum is:

a) 12?

b) 27?

c) 39?

Try to find a quick way of working out the sum of ANY three consecutive numbers.

Explain why 50 cannot be the sum of three consecutive numbers.

Calculator challenge 1

When I divide the number 1234 by 11, I do not get a whole number answer.

However if I rearrange the number 1234 to 2431, do I get a whole number when I divide this new number by 11. (i.e. 2431 - 11 = 221).

Find many different ways can rearrange the digits 1234 so when you divide your new number by 11 you get a whole number answer.

Calculator challenge 2

Use a calculator to find the missing numbers in this calculation:

Try to find more pairs of missing numbers to get the same answer of 0.4.

Find some pairs of numbers so the answer is 2.5.

(ProQuest: ... denotes formula omitted.)

Find some pairs of numbers so the answer is 0.8.

Find some pairs of numbers so the answer is 1.25.

Calculator challenge 3

Choose a 1-digit number, divide it by 11 and write down the answer. …