Currently viewing the tag: "Whole numbers"
This activity is about rectangles with whole number dimensions. With other lengths and breadths there are infinitely many possible rectangles so here we just stick to whole numbers.
How many rectangles can you make with perimeter 12 units?
What do you know about rectangles? What is the smallest rectangle that you can […]
Choose pairs of these numbers to make the total of each pair as close to eleven thousand as possible?
Which total is closest to eleven thousand?
Which pair of numbers has the largest total?
What number would you add to each of these 8 numbers to make eleven thousand?
You might […]
Work out the different numbers to replace the question marks.
What do you notice about the patterns in these calculations?
Can you explain why this pattern occurs?
Easy starter: Write down 2 numbers that add up to a million, one smaller than 450 000 and one bigger than 450 000.
If you shared a prize of one million dollars between 7 people how many dollars would each get?
What is the easiest way to work out which of the […]
Put the missing symbol into the box to make these number sentences correct.
Use the symbols +, −, ×, ÷ and =.
17 ☐ 21 = 38
17 ☐ 3 = 51
57 ☐ 29 = 28
9 ☐ 63 ÷ 7
You can make most of the number sentences below correct by putting in […]
Imagine you have four bags containing a large number of 1s, 4s, 7s and 10s.
You can choose numbers from the bags and add them to make different totals. You don’t have to use numbers from every bag, and there will always be as many of each number as you need.
Choose some […]
Is it always possible, from any set of five positive whole numbers, to choose three numbers that add up to a multiple of 3?
For example, if you start with 4, 7, 11, 12 and 18, you can choose 4, 11 and 12 which add up to 27 (a multiple of 3).
[…]
Paint A is made up from red and white paint in the ratio 1:3 and paint B is made up from red and white paint in the ratio 1:7 . The cans are the same size.
You can mix the paints to produce different shades of pink. Explain how to find the ratio of […]
Can you put the numbers 1 to 8 (each number once and only once) into the circles so that the four calculations are correct?
This problem is adapted from the NRICH task A Square of Numbers with permission of the University of Cambridge. All rights reserved.
Try a few of these:
Do human beings live for as long as a million hours?
If you have been alive for a million seconds, how many birthdays have you had?
What year was it one billion minutes ago?
How long would it take to count to a million […]
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