(a)  

Barry commutes to work every day by the same route. He leaves the house at the same time every morning. If his average speed is 30mph, then he arrives at work three minutes early. If his average speed is 20mph, he arrives at work three minutes late. What speed, in mph, must he average to arrive at work exactly on time?

(a)  

(a)  

Question 5 In Mathland, there are only three different types of coin, each with a different positive integer value of pennies (for example, a 3p, 8p and a 10p). The minimum number of coins required to make 17p is 3. The minimum number of coins required to make 18p is 6. The minimum number of coins required to make 19p is 𝑥. The minimum number of coins required to make 20p is 4. The minimum number of coins required to make 21p is 3. The minimum number of coins required to make 22p is 2. What is the value of 𝑥?

(a)  

(a)  

(a)  

(a)  

(a)  

Goldie has just had four puppies, but her sister Princess has had five. However it’s not the litter size that their owners care about, it’s the premium that they get for female puppies. What’s the chance that Princess has had more female puppies than Goldie?

(a)