Posts

Showing posts from March, 2022

How many gifts

There are twenty gifts stacked up into four piles. The first pile has 3 less than the second pile. The second pile has two more than the third pile. The fourth pile has twice as many as the second pile. How many gifts are in each pile?

Find the shaded area

The diagram below shows a rectangle, 9 units long, 6 units wide and with parts of non-overlapping circles drawn all over it. The circles all have the same radius and the area of each is 7 square units. Work out the shaded area.

Pebble Sizes

Class 6A go on a Geography trip to Eastbourne and investigate the size of pebbles on the beach. Jonnie picks up seven small pebbles and measures their lengths in millimetres. The lengths of the first six pebbles are:  1, 1, 1, 4, 7, 13  Assuming that the pattern that you observed above continues to hold, work out the length of Jonnie’s seventh pebble.

Trains

Train A leaves Birmingham New Street station at 1747 travelling due North on the slow line at 90 km/hour. How many kilometres has this train travelled when the time is 18:17? 

VAT

The rate of VAT in this country is 20%. In the shop CoCost, the price of a TV excluding VAT is £550. Work out the cost of the TV after the VAT is added on.

Lazy Living

The new TV channel, Lazy Living, broadcasts for 98 hours a week. If two-sevenths of its output is devoted to make-over programmes and the rest to celebrity gossip, for how many hours each week does the channel broadcast programmes on celebrity gossip? _

Clips, Lips, Sips and Glips

On Planet Ward, instead of pounds and pence, there are Clips, Lips, Sips and Glips. Two Clip is worth three Lip Two Lip is worth five Sip Seven Sip are worth four Glip How many Sip are four Clip worth?

Length of a cuboid

A cuboid has faces with areas of 18cm2 , 21cm2 and 42cm2 . What are the lengths of its sides?

Jess and Jill

Jess and Jill share some sweets. Jill has six sweets for every five sweets Jess has. Jill gives eight sweets to Jess. Now, Jill has four sweets for every seven sweets Jess has. How many sweets do the girls have altogether?

Two numbers

Two numbers have a sum of 11 and a product of 24. What is their difference?

Annie's money

Annie spent 1/3 of her money on a new top and 2/3 of the remainder on a skirt. She had £6 left. How much did Annie have in total before spending anything

Types of Days

If it is a cold rainy day then I wear a raincoat. If it is a warm rainy day then I carry an umbrella. If I wear my raincoat then I also wear either gloves or a hat but not both. If I carry an umbrella I always wear gloves and sometimes wear my hat as well. I never carry an umbrella and wear my raincoat on the same day. For each of the following, state whether it is definitely true, false or uncertain: It is a warm rainy day. I wear my raincoat and a hat. It is a warm rainy day. I carry my umbrella and wear a hat but no gloves. It is a cold rainy day. I wear my raincoat, hat and no gloves.

One-way cycle paths

Image
The diagram shows the one-way cycle paths in a park. Work out the total number of possible routes to go  From A to C From A to D From A to E

Row, Column and Diagonal

Image
In the square below, every row, column and diagonal adds up to 15. What number must be put into the square labelled A?

How many "x's" in a "z"

If the following statements are true, how many "x's" are there in a "z"? x + x = y y + y + x = a a + y = z

A box of biscuits

A box of biscuits contains 36 biscuits. 20 biscuits have foil wrappers. 15 are chocolate biscuits with foil wrappers. If 9 are not chocolate and do not have a foil wrapper, then how many chocolate biscuits are there?

Crates

A large crate holds twelve cartons of milk whereas a small crate holds only four cartons. I have five large crates and twenty small crates available. What is the smallest number of crates in total that I could use to store 110 cartons of milk?

VAT

The rate of VAT (value-added tax) in this country is 20%. In the shop CoCost, the price of a TV excluding VAT is £550. Work out the cost of the TV after the VAT is added on