ISEB Set 4 Maths

Which number is a factor of 20?

What is the lowest multiple of 4 and 6?

Aadam’s dog eats 2.7 kilograms of dog food each day. How much dog food will Aadam’s dog eat in 9 days?

Jamie went to the hardware store and bought 6 yellow ropes. The total length of the ropes was 231.6 metres. How long was each rope?

What is 33.415 rounded to the 1 decimal place?

A carpenter bought a piece of wood that was 24.3 centimetres long. Then he sawed 0.33 centimetres off the end. How long is the piece of wood now?

What name best describes this shape?

What is 7.5% of £50.00

The regular price for a skateboard is £40. Today only, it is on sale for £25 off. Write £25 as a percentage of £40.

Rose had both chocolate cake and coconut cake at her birthday party. There were 35 people at the party, and 20% of them picked chocolate cake. How many people picked chocolate cake?

At the end of 2011, there were 1234 members at the Feel Fit Gym. During the year, 167 members had joined the gym and 38 had left. How many members were there at the start of 2011?

Work out the following:    14 ²/₃ – 3 ⁵/₆

Which of these fractions is equal to 0.8?

Which of these is the smallest?

The most likely length of a television remote control is:

Work out: 12 – 2 x 4 + 3 =

One of the angles in an isosceles triangle is 30⁰. Which of these is a possible other angle in the triangle:

One quarter of the pupils in a class are girls. The rest are boys. What is the ratio of girls to boys?

How long is it, in hours and minutes, between 09:34 and 13:21?

I buy a pen and a pencil for £1.10. The pen costs 50p more than the pencil. How much is the pen?

Mr. Rich works ⁵/₇ of the way up a tall tower.

He works on floor 60.

How many floors are there altogether?

This is a recipe for 6 scones.

110 g self-raising flour

20 g butter

750 ml milk

1 tablespoon caster sugar

How much butter is needed to make 15 scones?

Given that a = 5, b = 2 and c = 10 find: a + cb²

A wine barrel weighs 35 kg when full of wine.

After half of the wine has been poured out, it weighs 22 kg.

What is the weight of the empty barrel?

An Ice cream shop sells twice as many vanilla as strawberry ice creams, and twice as many chocolate than vanilla ice creams. If it sells 60 strawberry ice creams, how many ice creams in total were sold?

There are twice as many red balls as blue balls in a bag.

There are 20 more blue balls than green balls.

There are three times as many yellow balls than green balls.

If there are 15 yellow balls, how many red balls are there?

At the Theatre Academy there are 120 students. Eighty take part in a Drama play and seventeen take part in a Pantomime. If nine students are in both the play and the pantomime, how many were in neither?

What is the area of this triangle?

How many rectangles with a length of 3 cm and a width of 1 cm would it take to fill the shape below with no overlapping?

Two metal weights in the form of cuboids have the same volume. One is 20 cm long, 16 cm wide and 9 cm high. The other weight is 10 cm wide and 12 cm high. What is the length of this weight?

Anthony conducted a survey in his year group to find out what pets the children had. He constructed a pie chart from his results. The total number of cats in the survey was 48.

How many “other” were in the survey?

Anthony conducted a survey in his year group to find out what pets the children had. He constructed a pie chart from his results. The total number of cats in the survey was 48.

What was the total number of pets in the survey?

Emmy prepared 8 kilograms of dough after working 4 hours. How many hours did Emmy work if she prepared 12 kilograms of dough? Assume the relationship is directly proportional.

Here is part of a train timetable for trains running from Bunley to Wester.

The time it takes to get from Bunley to Wester is always the same. What time did I depart from Bunley if I arrive in Wester at 12:14?

What is the mode of the following set of numbers?

3, 1, 3, 4, 4, 1, 3

The four numbers 8, 3, 9 and x have an average of 6. What is the value of x?

On a wet week in Rusholme the mean rainfall over five days from Monday to Friday was 12 mm. On Monday, when the rain was heaviest there was 22 mm, but on Friday there was only 5 mm of rain. What was the mean rainfall on the other three days?

What will be the next number in the sequence?

          1,    1,     2,     3,     5,     8,     …..

A child made a series of towers. The first three are shown.

How many blocks make up the 5^th tower?

Work out the size of x.

The Z-shape is reflected in the y-axis and again in the x-axis.

What will be the new co-ordinates of the point x?

At the Travelex foreign exchange counter, Tamwar converted his British pounds (£) into US dollars ($). For £200 he received $320.

Using the same exchange rate, answer the following questions.

Usain handed the cashier £500. How many US dollars did he receive?

A bag contains 20 white, 12 red and 18 blue marbles.

Sarah takes one marble from the bag.

What is the probability that she takes either a blue or a red marble?

At a cinema, an orange juice and a box of popcorn cost £5.60.

Two orange juices and a box of popcorn cost £7.50.

How much does a box of popcorn cost?

Work out ³/₄ of ⁵/₆ of 48.

In a magic square, the numbers in every row, column and the two diagonals add up to the same number. What is the sum of the missing numbers in the magic square below?

If 3x – 5 = x + 1, what is the value of x?

A packet of biscuits costs x pence. I buy 6 packets. Which expression shows how much change I will get from £5?

A gravel path 1 metre wide is put around a pond. 1 bag will cover ½ m². Each bag of gravel costs £4.99.

What is the approximate cost of the path?

A crate holds 18 bottles.

How many crates are needed for 666 bottles?