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Showing posts from March, 2021

Crisps and drinks

2 packets of crisps and 2 drinks costs £1.50. 2 packets of crisps and 1 drink costs £1.10. What would it cost me if I buy 3 packets of crisps and 4 drinks?

Mystery number

This mystery number has 4 digits. Every digit is an odd number. None of the digits is a 9. Every digit in the number is different. The smallest digit is in the thousands place. The greatest digit is in the ones place. This describes two possible numbers. The mystery number is the greater of those two numbers. What is the mystery number?

Geometry

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Find the angles marked in the diagram. 

Insects in a colony

The number of insects in a colony doubles each week.  If there were 100 insects in the colony at the start of the first week: How many would there be after 6 weeks? After how many weeks would there first be more than 100,000?

Chocolates

 There are 27 students in Mrs Din’s class.  Mrs Din buys 4 boxes of chocolates.  There are 36 chocolates in each box.  She shares out the chocolates equally amongst her 27 students. Work out the number of chocolates each student receives.

Patterns

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 Amar makes patterns out of sticks:

Can you solve them all?

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My friend George is really good at maths so I decide to ask him some tricky questions to see if I can catch him out. Needless to say he got all three questions right!  Write George’s answers in the spaces provided.

Cubes

A cube has side lengths of 5 cm.  What is the volume of the cube?  _____________  A second cube has a volume of 27 cm3 .  What is the total surface area of the second cube?  _____________

Angles in isosceles triangle

 One angle of an isosceles triangle is 80°. What are the other angles?  There are two possible solutions to this question. Answer 1: ______°    ______° Answer 2: ______°    ______°

Building Walls

It takes 2 men 3 days to build a wall. To answer these questions, assume that all men work at the same rate all the time and take no breaks! You may use fractions, where necessary.  a) How long would it take one man to build the wall? b) How long would it take one man to build 6 such walls? c) How long would it take 3 men to build 6 such walls?