Hint

75 is bigger than 7.5 – how many times bigger?

Hint

Could you work out the answer if they got £8 each? It would be 80 divided by 8. Ok then. £16 is twice £8, so the group must be half that size, for them to get twice as much money.

Hint

When you multiply two numbers, you can work out last digit of the answer by multiplying just the last digits of the two numbers and looking at the last digit of that. Example: 325 x 3 ends in a five because 5 x 3 = 15.
Chen has made a 2-digit number and a single-digit number to multiply, and her answer ends in a zero. We know that, because every number which is a multiple of ten ends in a zero. Examples: 10, 50, 120.

So concentrate on finding the last digits. The digits to choose from are 5, 6 and 9. Which ones, multiplied together, give an answer that ends in a zero?

Hint

You can do this in two ways. Either:
1) On a sheet of paper, write down the temperature at 3am. Then write down the temperature at 3pm. Subtract the lower temperature from the higher, to find the difference. Be careful, subtracting a negative number is like adding a positive number. Or;

2) Find the two temperatures on the graph and carefully count the number of squares between them on the temperature axis.

Hint

Find the temperature at 3pm and subtract 4 degrees.

Hint

The amount they still need to collect is the difference between their target and the amount they have already. To find the difference between two numbers, subtract the smaller number from the larger number.

Hint

The timetable uses the 24-hour clock but you are given William’s arrival latest time as 5:30pm. First, you’ll need to convert this time into 24-hour format. Then look at the timetable to see where that time fits in with trains arriving in Paris.

Hint

Translation by itself does not cause rotation too.

Hint

A number bigger than another cannot be a factor of it. So 30 cannot be a factor of 15.
Also, any number is also a factor of itself. So 15 is a factor of 15.
Also, 2 is a factor of every even number (except zero) but 2 is not a factor of any odd number.

Hint

How long is every section before break? How long is every section after break?

Hint

Remember to include the units in your answer; either ml (for millilitres) or l (for litres).

Hint

The diameter of a circle is twice the radius, because the diameter is measured across the widest part and the radius is just between the centre and the edge, which is halfway across.
Your answer should be in centimetres.

Hint

Look for an answer that is complete, and is not vague. It must also be accurate and you must know it is completely true.

Hint

Not every shape here is a pentagon.

Hint

Start by working out how much 2 mangoes would cost.

Hint

Lines that meet at 90 degrees are perpendicular. Lines that would never meet, however long you extended them, are parallel.

Hint

How many are left in the box after William and Ally have taken their share? This is the amount you then have to divide between Adam and Chen.

Hint

What is a half as a decimal fraction? What is a quarter as a decimal fraction? What is three-fifths as a decimal fraction? Hint: three-fifths is the same as six-tenths. Hint: Which is bigger? Five-hundredths or forty-hundredths?

Hint

Write down a few prime numbers and a few squares and see if you can find a pair that add up to 22.

Example: Primes 2, 3, 5…  Squares 1, 4, 9, 25…

Hint

Work backwards by reversing the steps that Dev took. So you’ll start by making a list of all the numbers for which 50 is the nearest 10. Most of these numbers can’t be divided by 4 and give a whole number. Those that can are your answer.

Hint

The area is found by multiplying the width by the height.

Either: Work out the width and height of the rectangular tile. Then compare it with the area of the square tile, for which the width and height are the same – 20cm each.

Or: Compared to the square tile, the rectangular tile is longer in one direction and narrower in the other. Work out the area of the longer bit: 3 x (20 – 2) cm. Take away the area of the narrower bit: 2 x 20 cm. You’re left with the difference in area between the two tiles.

Hint

You might find it easier to convert from quarters to eighths.

Hint

Imagine you can slide the top shaded rectangle all the way over to the right, so it lines up above a similar one. This might help you to see that 34cm is equal to 18cm + w + 9cm
So w = 34 – 18 – 9 cm.

Hint

From one row to the next, how much does b go up each time? This goes in the first box.

Then, looking at the formula, what do you need to subtract to get the right value for b? This goes in the second box.

Hint

The volume of the cube = 6 x 6 x 6 cubic cm.

The volume in cubic cm of the cuboid is 6 x 4 x the missing length.  These two volumes are the same, so it’s OK to put them in an equation.
6 x 6 x 6 = 6 x 4 x the missing length