Number Operations and Calculation Methods - Short Problems

A collection of short Stage 3 and 4 problems on number operations and calculation methods



Negative Dice

Stage: 2 and 3 Short Challenge Level: Challenge Level:1

Weekly Problem 16 - 2012
If the odd numbers on two dice are made negative, which of the totals cannot be achieved?

Minus One Party

Stage: 3 Short Challenge Level: Challenge Level:1

Weekly Problem 47 - 2013
What is the value of the given expression?

Calculation 2000

Stage: 2 and 3 Short Challenge Level: Challenge Level:1

Weekly Problem 49 - 2013
What is the value of 2000 + 1999 × 2000?

Sum Total

Stage: 2 and 3 Short Challenge Level: Challenge Level:1

Weekly Problem 50 - 2013
Each letter in this sum represents a different digit. How many solutions are there?

Weekly Problem 1 - 2008

Stage: 3 and 4 Challenge Level: Challenge Level:1

Given that the number 2008 is the correct answer to a sum, can you find n?

Weekly Problem 40 - 2008

Stage: 3 Challenge Level: Challenge Level:1

A class raises money for charity by placing 10p pieces edge to edge in a 'silver line'. If the line was 25m long, how much money did they make?

Mathematical Ages

Stage: 3 Short Challenge Level: Challenge Level:1

Weekly Problem 16 - 2009
Arrange these three famous mathematicians in order with the shortest-lived first.

Bus Route

Stage: 3 Short Challenge Level: Challenge Level:1

Weekly Problem 17 - 2009
How far apart are the first and last bus stops in this bus route?

Debasing the Coinage

Stage: 3 Short Challenge Level: Challenge Level:1

Weekly Problem 18 - 2009
How much lighter will £5 worth of 5p's be with these new lighter coins?

Carry Over

Stage: 3 Short Challenge Level: Challenge Level:1

Weekly Problem 24 - 2009
Each letter stands for a different digit, and S is non-zero. Which letter has the lowest value?

Kangaroo Subtraction

Stage: 2 and 3 Short Challenge Level: Challenge Level:1

Weekly Problem 2 - 2010
Can you solve this 'KANGAROO' alphanumeric subtraction?

Digit Deletion

Stage: 2 and 3 Short Challenge Level: Challenge Level:1

Weekly Problem 14 - 2010
What is the largest number of digits that could be erased from this 1000-digit number, to get a surprising result?

Colourful Tiles

Stage: 3 Short Challenge Level: Challenge Level:1

Weekly Problem 21 - 2011
How many ways can you paint this wall with four different colours?

Alberta's Age

Stage: 2 and 3 Short Challenge Level: Challenge Level:1

Weekly Problem 26 - 2011
Alberta won't reveal her age. Can you work it out from these clues?

Rolling Along the Trail

Stage: 3 and 4 Short Challenge Level: Challenge Level:1

Weekly Problem 32 - 2011
What could be the scores from five throws of this dice?

Jam and Egg Sandwich

Stage: 2 and 3 Short Challenge Level: Challenge Level:1

Weekly Problem 33 - 2011
How many solutions can you find to this sum? Each of the different letters stands for a different number.

Magic Error

Stage: 3 and 4 Short Challenge Level: Challenge Level:1

Weekly Problem 12 - 2014
Two of the numbers in a 4x4 magic square have been swapped. Can you work out the sum of these numbers?

Operational Decision

Stage: 3 and 4 Short Challenge Level: Challenge Level:1

Weekly Problem 44 - 2014
What symbol should be inserted to make the equation true?

Subtracting to 2008

Stage: 3 and 4 Short Challenge Level: Challenge Level:1

Weekly Problem 2 - 2015
Can you work out the sum of the missing digits in this subtraction?

Down and Along

Stage: 3 Short Challenge Level: Challenge Level:1

Weekly Problem 50 - 2015
Can you work out the values of J, M and C in this sum?

Filling Morecambe Bay

Stage: 3 and 4 Short Challenge Level: Challenge Level:1

Weekly Problem 19 - 2016
"It would take 20 million years to fill Morecambe Bay from a bath tap". What does this imply is the approximate capacity of Morecambe Bay?

How Many Rectangles?

Stage: 3 Short Challenge Level: Challenge Level:2 Challenge Level:2

Weekly Problem 37 - 2016
By drawing 5 horizontal and four vertical lines, one can form 12 rectangles. What is the greatest number of rectangles that can be formed by drawing 15 lines?

354972

Stage: 3 Short Challenge Level: Challenge Level:1

Weekly Problem 42 - 2016
What is the remainder when 354972 is divided by 7?

Multiplication Table Puzzle

Stage: 3 Short Challenge Level: Challenge Level:1

Weekly Problem 6 - 2017
In the multiplication table on the right, only some of the numbers have been given. What is the value of A+B+C+D+E?