Today I am setting you 7 Problem Solving challenge questions.
Challenge 1
Jane is standing in a queue.
There are 5 people in front of her.
There are 2 people behind her.
How many people are in the queue?
![An illustration of Jane.](https://ichef.bbci.co.uk/images/ic/{width}/p08dhp93.png)
![Grey line](https://ichef.bbci.co.uk/images/ic/{width}/p087hlgp.png)
Challenge 2
![Rosie says that she has 80 pence and Mo says he has 12 pence.](https://ichef.bbci.co.uk/images/ic/{width}/p08dknyl.png)
Rosie gives Mo 25 pence.
How much more money does Rosie have than Mo now?
![Grey line](https://ichef.bbci.co.uk/images/ic/{width}/p087hlgp.png)
Challenge 3
If
![The graphic shows three rows of math sentences; Row 1: 70 + circle = 100; Row 2: 50 + triangle = 100; Row 3: circle + triangle + square = 100.](https://ichef.bbci.co.uk/images/ic/{width}/p08dkp4d.png)
What is the value of the blue square?
![Grey line](https://ichef.bbci.co.uk/images/ic/{width}/p087hlgp.png)
Challenge 4
The perimeter of this regular hexagon is 42 cm.
![A regular hexagon.](https://ichef.bbci.co.uk/images/ic/{width}/p08dhs2k.png)
Four of these hexagons are put together to make this shape.
![](https://ichef.bbci.co.uk/images/ic/{width}/p08dhsc7.png)
What is the perimeter of the shape?
![Grey line](https://ichef.bbci.co.uk/images/ic/{width}/p087hlgp.png)
Challenge 5
Charlie has a tin of paint.
The tin is half full and weighs 5.8 kg. Charlie paints a wall in his house.
The tin is now a quarter full and weighs 3.1 kg.
How much does the empty tin weigh?
![A full tin of blue paint.](https://ichef.bbci.co.uk/images/ic/{width}/p08dj35b.png)
![Grey line](https://ichef.bbci.co.uk/images/ic/{width}/p087hlgp.png)
Challenge 6
A spinner has 5 equal sections. The sections are labelled A to E.
![A spinner partitioned into five equal segments labelled A, B, C, D and E.](https://ichef.bbci.co.uk/images/ic/{width}/p08dj39q.png)
The arrow is pointing to the centre of section A.
![The left spinner is pointing at letter A and the right spinner is pointing at letter D.](https://ichef.bbci.co.uk/images/ic/{width}/p08dj3ck.png)
Tom rotates the arrow clockwise so that the arrow is now pointing to the centre of section D.
What angle has the arrow been rotated through?
![Grey line](https://ichef.bbci.co.uk/images/ic/{width}/p087hlgp.png)
Challenge 7
4 congruent triangles are shown inside a rectangle.
![Four congruent triangles places in a rectangle with a width of 21 cm and a height of 16 cm.](https://ichef.bbci.co.uk/images/ic/{width}/p08dj3n5.png)
What is the area of one of the triangles?
*Remember to calculate the area of a triangle the formulae is 1/2 (BXH)