Hint

You could do what Ali did and draw a number line, but you can probably spot the number closest to 500 without doing so.

Hint

The number furthest away must be either the smallest number or the largest number; all the others will be closer.

Hint

Start with the lowest price and work your way along to the highest.

Hint

Start with the units column. What must A be so that A + 4 = 5?

Then look at the tens column. 5 + B = 1 can’t be solved, so there must be a carry digit. That means 5 + B = 11.

When you get to the hundreds column, remember to add the carry digit.

Hint

On a sheet of paper, write down the populations for Formby and Telford and carefully add them up.

Hint

To find the difference, write down the larger number and subtract the smaller number.

Hint

Take each of the numbers one by one and ask: Is it prime? Is it even? Is it a square number? Then find the right place in the diagram for it. If a number fits into more than one category, you’ll need to place it in an overlapping area.

Hint

A mirror can reflect a shape but it can’t rotate it.

Hint

To find equivalent fractions, multiply both the numerator and denominator by the same whole number.

Hint

You can rule out 0.5 straightaway because it’s already greater than 0.25, and there aren’t any negative numbers.

Hint

Don’t waste time working out the cost of one pencil. You only need to know the cost of 3 pencils.

Your answer should include the units, pounds or pence, because the answer box does not show it.

Show your method on a separate sheet of paper. If you make a mistake, you could still get one mark if your method is correct.
Here is some suitable squared paper for you to print.

Hint

For each diagram, find out how many sections make one quarter. Three-quarters shaded means one quarter is unshaded.

Hint

The number of days until the packet is empty is the same as the number of times you can divide 50g into 1.5kg.

Remember, 1kg = 1,000g.
Show your method on a separate sheet of paper. If you make a mistake, you could still get one mark if your method is correct.

Here is some suitable squared paper for you to print.

Hint

The question tells us that n = 22 so we can replace the letter n in the expression with 22. (We’ll also need a multiplication symbol to stop it looking like 222.)

Then the expression looks like this: 2 x 22 + 9

Can you solve it now?

Hint

We need to get q on its own, but there’s a 4 on the same side. So let’s subtract the 4. The equation will still balance if we remember to subtract 4 from each side. Then we have:

2q = 96

Now it’s pretty easy to get q.

Hint

How tall is one box?

Show your method on a separate sheet of paper. If you make a mistake, you could still get one mark if your method is correct.

Here is some suitable squared paper for you to print.

Hint

On a piece of paper, write down the eight times table until you reach 50. Which numbers that you have written are also multiples of 3?

Hint

25°C is mid-way between 20°C and 30°C. Look at the thermometer to find the Farenheit temperatures that match up with 20°C and 30°C.

What would be mid-way between these?

Show your method on a separate sheet of paper. If you make a mistake, you could still get one mark if your method is correct.

Here is some suitable squared paper for you to print.

Hint

You can do this as long as you don’t make a careless mistake. Check you have the right number of digits in your answer.

Hint

A million is equal to one thousand thousands. How many hundred thousands make one million?

Hint

Where two straight lines intersect, the angles that are opposite each other are equal in size.

Hint

The interior angles of a quadrilateral add up to 360°.

Hint

What if the question said 7 instead of 70? If you can answer that question, you only need to multiply your answer by 10 to get the final answer.

Hint

Take the ingredients one by one – strawberries, sugar and jars – and work out how much she spends on each to make 20 jars of jam.
Show your method on a separate sheet of paper. If you make a mistake, you could still get one mark if your method is correct.

Here is some suitable squared paper for you to print.

Hint

A vertex just means the corner of a shape.
You first need to know which is the third vertex. First, look at the two pairs of coordinates you’ve been given and match them to the reflected triangle’s vertices. One vertex will be left unmatched.