11+ CEM Math & NVR Set-6

The full price of a car is £13,000. The car is in a sale and its price has been reduced by 35%. Monica is saving up to buy the car. She already has £8350. How much more money does she need to buy the car?

£100

£150

£175

£200

150 pupils are sitting an exam. The pupils can choose whether to write in pen or pencil. Two-fifths of the pupils are boys. Three quarters of the boys are writing in pencil. How many boys are writing in pen?

Janet cuts out a piece of a card into a rectangle. The rectangle is twice as long as it is wide. The area of the rectangle is 98cm². What is the perimeter of the rectangle?

John paid a £70 deposit for a bike, then monthly payments of £35 each. The bike cost £350. How many monthly payments did John have to make to buy it?

The sum of five consecutive whole numbers is 200. What is the smallest of these five numbers?

Arrange the numbers, 5, 2, 8 and 4 to make the largest possible four-digit number which is a multiple of 5.

The opening hours of a local supermarket are 8am to 10pm Mondays to Saturdays and 10:30am to 5:30pm on Sundays. For how many hours does this supermarket open each week?

83 hours

84 hours

90 hours

91 hours

The rate of VAT (value-added tax) in a country is 30%. In the shop, the price of a Washing Machine excluding VAT is £450. Work out the cost of the Washing Machine after the VAT is added on.

£ 480

£ 550

£ 585

£ 580

Philip is given 3 bags of fruit.

Bag A contains 2 apples, 4 oranges and 3 pears.

Bag B contains 3 apples, 1 orange and 2 pears.

Bag C contains 4 apples, 5 oranges and 3 pears.

Bag D contains 4 apples, 6 oranges and 4 pears.

He is allowed to choose one of these bags and then pick just one piece of fruit from that bag at random.

Which bag should he choose if he is to maximise his chance of picking an

apple?

Bag A

Bag B

Bag C

Bag D

Philip is given 3 bags of fruit.

Bag A contains 2 apples, 4 oranges and 3 pears.

Bag B contains 3 apples, 1 orange and 2 pears.

Bag C contains 4 apples, 5 oranges and 3 pears.

Bag D contains 4 apples, 6 oranges and 4 pears.

He is allowed to choose one of these bags and then pick just one piece of fruit from that bag at random.

Which bag should he choose if he is to minimise his chance of picking a

pear?

Bag A

Bag B

Bag C

Bag D

Express 102 as a product of its prime factors.

2 x 51

6 x 17

1 x 102

2 x 3 x 17

Simplify the following: 17x + 7y – 16x −43y.

X - 36y

X + 50y

33x + 50y

33x - 36y

Calculate the missing angle ‘b’.

100 deg.

111 deg.

115 deg.

121 deg.

Don looks at the Year 6 test results and lists the marks:

20, 5, 10, 12, 0, 1, 14, 2, 15, 14, 3, 5, 14, 4

What is the range of above marks?

Don looks at the Year 6 test results and lists the marks:

20, 5, 10, 12, 0, 1, 14, 2, 15, 14, 3, 5, 14, 4

What is the median score?

Don looks at the Year 6 test results and lists the marks:

20, 5, 10, 12, 0, 1, 14, 2, 15, 14, 3, 5, 14, 4

What is the mode of the above marks?

The diagram shows a field viewed from above. All dimensions are given in metres. A mouse walks all the way around the edge of this field. How far does the mouse walk in metres?