Survey

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Survey

Transcript

POP MATHS QUIZ (14-16) 1. A brick weighs 9 pounds and half a brick. What does a brick and a half weigh? 2. Two men and two boys want to cross a river. None of them can swim and they have only one canoe. They can all paddle but the canoe will only hold one man or two boys. It can be shown that it takes 9 crossings of the river to get everyone across. On which numbered crossing or crossings are there two boys in the boat? 3. If all the factors of 2170 are listed in order of size - smallest first - what will the 5th one be? (Example: the factors of 12 are 1, 2, 3, 4, 6, 12) 4. I was asked to change a 50p piece. I had more than 50p in my pocket but less than £1, but I could not make exactly 50p. What is the largest amount I could have had in my pocket? 5. A frog falls into a well 28 metres deep. Every day he climbs up 1 metre and every night he slips back down half a metre. How long does it take to get him out? 6. A man had the 5 pieces of chain illustrated: He wants to join them into one endless chain. It costs 10p to open any link and 20p to weld a link together again. What is the smallest amount it could cost him? 7. I have a rectangular cardboard box. The top has an area of 120 cm 2, the side 96 cm2 and the end 80 cm2. What is the volume of the box? 8. A man left 100 hectares of land to be divided between his children Amy, Ben and Cathy so that Amy had 1/3, Ben had 1/4 and Cathy had 5/12. Unfortunately Cathy died. What fraction of the land should Amy now get? 9. Surgeons can operate to cure Popquizitis but the success rate at the first attempt is only 55%. If the first operation fails the operation can be repeated but the success rate is only 20%. After a second failure they will not operate again. 100 students contract the disease. How many would you expect to be saved? 10. A wall is covered by 160 tiles which are 15 cm x 15 cm. How many 10 cm x 10 cm tiles are needed to cover the same wall? 11. Find 3 consecutive numbers that add up to 1524. A paving stone 4 m x 1 m rests against a vertical wall as shown: PMQ1416 1 4 25º 1 What is the height of the highest point of the stone above the ground? 13. Two numbers differ by 3. The sum of their reciprocals is 7/10. Find the 2 numbers. 14. This arrowhead has an area of 18cm2. What is the length x? x 15. What is the 23rd term of this sequence? 2,6,12,20,30,42,........... 16. The median height of a class was calculated and found to be 1m 65cm. Sam then realised he had said his height was 2 cm less than its true value. The median was then recalculated and found to have increased to 1m 66cm. This means that Samâ€™s height must have been one of two if heights are measured to the nearest cm. What is the greater of those two heights? 17. A circle is inscribed in a square of side a as shown in the diagram. 5000 points inside the square are randomly selected by a computer. How many would you expect to lie inside the circle? 18. A square has perimeter 150 cm. What is its area? PMQ1416 2 19. THIS + IS HARD Each letter stands for a different number. Find what number I stands for if S = 1. 20. A police car sees a car speeding at 130 km/h and sets off in pursuit. By the time it sets off the car is 500 m ahead. How many minutes will it take the police car to catch up if it does 150 km/h? PMQ1416 3