How much would it cost?
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?
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What is the 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?
Pupils in a class
You are told that 56% of the pupils in a class are girls. What is the smallest number of pupils the class could contain?
How long to build 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. How long would it take one man to build the wall? How long would it take one man to build 6 such walls? How long would it take 3 men to build 6 such walls? How long would it take 10 men to build 6 such walls?
An inter-species meeting on Mars
100 aliens attended an inter-species meeting on Mars. 76 of them needed breathing apparatus, 52 needed shaded goggles, but 23 aliens didn’t need either. How many aliens needed breathing apparatus goggles?
Views
Draw the three views of this new shape below. The diagrams do not have to be to scale. A rough free-hand sketch is all that is required Front View Side View Plan View
Chances
We say that there is an even chance of getting a head when a coin is thrown. Which one of the following statements is definitely true? A: There is an even chance that England will win the next football World Cup. B: There is an even chance that I get one head and one tail when I toss a coin twice. C: There is a greater than even chance that I get a 5 when I roll a single dice. D: There is a less than even chance of picking a blue ball from a bag containing 3 blue and 2 red balls. E: There is a less than even chance that a baby will be born somewhere in the world in the next minute.
A busy railway station
At a busy railway station trains leave from platform 5 every 6 minutes and from platform 8 every 10 minutes. Trains leave from both platforms at 15:57. When do trains next leave both platforms at the same time?
How many 2 digit numbers
Determine how many two-digit numbers satisfy the following property: when the number is added to the number obtained by reversing its digits, the sum is 132