IMC Number
- What is the maximum possible value of the median number of cups of coffee bought per customer on a day when Sundollars Coffee Shop sells 477 cups of coffee to 190 customers, and every customer buys at least one cup of coffee?
A 1.5B 2C 2.5D 3E 3.5 - A shop advertised “Everything half price in our sale”, but also now advertises that there is “An additional 15% off sale prices”. Overall, this is equivalent to what reduction on the original prices?
A 7.5%B 35%C 57.5%D 65%E 80% - Max and his dog Molly set out for a walk. Max walked up the road and then back down again, completing a six mile round trip. Molly, being an old dog, walked at half Max’s speed. When Max reached the end of the road, he turned around and walked back to the starting point, at his original speed. Part way back he met Molly, who then turned around and followed Max home, still maintaining her original speed. How far did Molly walk?
A 1 mileB 2 milesC 3 milesD 4 milesE 5 miles - Albert Einstein is experimenting with two unusual clocks which both have 24-hour displays. One clock goes at twice the normal speed. The other clock goes backwards, but at the normal speed. Both clocks show the correct time at 13:00.
What is the correct time when the displays on the clocks next agree?
A 05:00 B 09:00 C 13:00 D 17:00 E 21:00 - Supergran walks from her chalet to the top of the mountain. She knows that if she walks at a speed of 6mph she will arrive at 1pm, whereas if she leaves at the same time and walks at 10mph, she will arrive at 11am.
At what speed should she walk if she wants to arrive at 12 noon?
A 7.5mph B mph C mph D mph E 8mph - Curly and Larry like to have their orange squash made to the same strength. Unfortunately, Moe has put 25ml of squash with 175ml of water in Curly’s glass and 15ml of squash with 185ml of water in Larry’s glass. How many millilitres of the mixture in Curly’s glass must be put into Larry’s glass so that they end up with drinks of the same strength?
A 5 B 7 C 10 D 12 E it is not possible - Driving to Birmingham airport, Mary cruised at 55 miles per hour for the first two hours and then flew along at 70 miles per hour for the remainder of the journey. Her average speed for the entire journey was 60 miles per hour. How long did Mary’s journey to Birmingham Airport take?
A 6 hours B 4 ½ hours C 4 hours D 3 ½ hours E 3 hours - In the calculation , the number represents the recurring decimal fraction . When the answers to the following calculations are arranged in numerical order, which one is in the middle?
A B C
D E - At a cinema, a child’s ticket costs £4.20 and an adult’s ticket costs £7.70. When a group of adults and children went to see a film, the total cost was . Which of the following is a possible value of ?
A 91 B 92 C 93 D 94 E 95 - Grannie’s watch gains 30 minutes every hour, whilst Grandpa’s watch loses 30 minutes every hour. At midnight, they both set their watches to the correct time of 12 o’clock. What is the correct time when their two watches next agree?
A 6am B 9am C 12 noon D 3pm E 6pm - Al, Bertie, Chris and Di have sums of money totalling £150. Al and Bertie have £55 between them and Al and Chris have £65 between them. What is the difference between the amounts that Al and Di have?
A £25 B £30 C £35 D £40 E £45 - Last year, on the television programme Antiques Roadshow, a painting was said to be worth £15 000 although the painting had originally cost only 50p. As a percentage of the original price, what would be the approximate profit if the painting were to be sold for £15 000?
A 15 000 % B 30 000 % C 300 000 % D 1 500 000 % E 3 000 000 % - Platinum is a very rate metal, even rarer than gold. Its density is 21.45 g/cm3. Assuming that the world production has been about 110 tonnes for each of the past 50 years, and negligible before that, which of the following has a comparable volume to that of the total amount of platinum every produced?
A a shoe box B a cupboard C a house D Buckingham Palace
E the Grand Canyon - Inspector Remorse had a difficult year in 2004. A crime wave in Camford meant that he had 20% more cases to solve than in 2003, but his success rate dropped. In 2003, he solved 80% of his cases, but in 2004 he solved only 60% of them. What was the percentage change in the nmber of cases he solved in 2004 compared with 2003?
A Down by 10% B Down by 8% C No change D Up by 8% E Up by 10%
and are points on the nuber line as shown. One of the points represents the product of the numbers represented by and . Which is it?
A B C D E- The first two terms of a sequence are and . Each term after the second term is the average (mean) of the two previous terms. What is the fifth term in the sequence?
A B C D E