Find the weight to balance the scales. From the pivot, the 4 kg weight is 3 units to the left, the 16 kg weight is 1 unit to the left, the 10 kg weight is 2 units to the right and the unknown weight is 4 units to the right. Answer with a natural number.
Sally has half as many again as Sue, who has half as many again as Sam. Together they have 152. How many does Sally have? Answer with a natural number.
How many revolutions must the largest cog make in order to bring the cogs back to their original positions? The cogs have 11, 8, 5 and 4 teeth. Answer with a natural number.
In how many ways can you take one number from each of the 3 columns so that together they add up to 20? Column 1: 10, 7, 5, 6, 2. Column 2: 8, 17, 6, 9, 11. Column 3: 1, 9, 7, 4, 8. Answer with a natural number.
Eight numbers are placed around a circle, clockwise from the top: 2, 3, 4, 5, 6, 7, 8, 1, with each number directly opposite another (2-6, 3-7, 4-8, 5-1). What number is directly opposite the number that is two places clockwise from the number that is directly opposite the number that is three places anti-clockwise from the number four? Answer with a natural number.
In a right-angled triangle the hypotenuse is 65 cm and the second-longest side is 63 cm. What is the length of the shortest side, in centimetres? Answer with a natural number.
Out of 384 guests at a conference, a quarter took their coffee with sugar only, 5/8 took it with both milk and sugar, one out of every 16 guests took it with milk only and the rest took it black. How many guests took it black? Answer with a natural number.
On taking delivery of a consignment of eggs, a market stall owner found that 72 were cracked, which was 12 per cent of the total consignment. How many eggs were in the consignment? Answer with a natural number.
The cost of an identical three-course lunch for four people was 56 pounds. The main course cost twice as much as the sweet and the sweet cost twice as much as the starter. How many pounds did the main course cost per person? Answer with a natural number.
My watch was correct at midnight and then lost 14 minutes per hour until it stopped completely 7 hours ago. It now shows 3.50 am. How many hours after midnight is the correct time now? Answer with a natural number.
In how many ways can the word PATH be read in the diagram? Start at the central letter P and move each time to an adjoining letter up, down, backward or forward. Answer with a natural number.
The combined age of Audrey and Bessie is 16, of Audrey and Cynthia is 52, and of Bessie and Cynthia is 56. How old is Cynthia? Answer with a natural number.
The tiles are E (1 point), I (1), L (1), M (3), U (1), Z (10) and Z (10). What is the score of the highest scoring Scrabble word that can be made from these tiles? Answer with a natural number.
A man has 53 socks in his drawer: 29 identical blue, 17 identical red and seven identical black. The lights have fused and he is completely in the dark. How many socks must he take out to make 100 per cent certain that he has one pair of each colour? Answer with a natural number.
At the end of the day one market stall had 16 apples and 48 oranges left. Another market stall had 36 apples and 24 oranges left. What is the difference, in percentage points, between the percentages of apples left at the two stalls? Answer with a natural number.
What is the value of angle X, in degrees? (Two triangles overlap; a 35 degree angle, an unknown angle Y, a right angle Z and angles W and X are marked.) Answer with a natural number.
