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SASMO 2014 Round 1 Primary 5 Problems 1. If n is a whole number, for what values of n is also a whole number? 2. A textbook is opened at random. To what pages is it opened if the product of the facing pages is 600? 3. The diagram shows a quadrant OAB of a circle with centre O. OPQR is a rectangle. Given that PR = 7 cm, find the length of OA. 4. Find an even number between 300 and 400 that is divisible by 5 and by 7. A B O P Q R 5. A shop sells sweets where every 3 sweet wrappers can be exchanged for one more sweet. Navin has enough money to buy only 29 sweets. What is the biggest number of sweets that he can get from the shop? 6. Find the next term of the following sequence: 2, 3, 4, 10, 38, … 7. The percentage passes in an exam for two classes are 80% and 60%. The numbers of students in the two classes are 20 and 30 respectively. Find the overall percentage pass for the two classes. 8. A clock takes 9 seconds to make 4 chimes. Assuming that the rate of chiming is constant, and the duration of each chime is negligible, how long does the clock take to make 3 chimes? 9. Evaluate                           20141 1 4 1 1 3 1 1 2 1 1  . 10. A frog fell into a drain that was 50 cm deep. After one hour, it mastered enough energy to make a jump of 6 cm but it then slid down 4 cm. If it continued in this manner after every one hour, how many hours will it take to get out of the drain? 11. A farmer’s chickens produced 4028 eggs one day. Was he able to pack all the eggs in full cartons of one dozen eggs each? 12. A farmer wants to find out the number of sheep and ducks that he has. He count ed a total of 40 heads and 124 legs. How many sheep and how many ducks does he have? 13. Jaime puts some blue and red cubes in a box. The ratio of the number of blue cubes to the number of red cubes is 2 : 1. She adds 12 more red cubes in the box and the ratio becomes 4 : 5. How many blue cubes are there in the box? 14. The diagram shows a rectangle with its two diagonals. What percentage of the rectangle is shaded? Свалено от Klasirane.Com

15. Given that a  b = 2014, and a and b are whole numbers such that a < b , how many possible pairs ( a , b) are there? 16. Amy had 3 times as much money as Betty. After they had spent $60 each, Amy had 4 times as much money as Betty. How much money did Amy have at first? 17. Billy uses identical square tiles to make the following figures. If he continues using the same pattern, in which figure will there be 6044 tiles? Figure 1 Figure 2 Figure 3 Figure 4 18. What is the least number of cuts required to cut 12 identical sausages so that they can be shared equally among 20 people? 19. In the following alphametic, all the different letters stand for different digits. Find the two-digit sum PI. I S I S I S + I S P I 20. A teacher has a bag of sweets to treat her class. If she gave 6 sweets to each student, then she would have 5 sweets left. If she gave 7 sweets to each student, then she would have 30 sweets short. How many students and how many sweets are there? 21. A box contains 80 coloured pens: 36 black, 24 blue, 12 red and 8 green. Alice takes some pens from the box without looking at the colours of the pens. What is the leas number of pens she must take so that she has at least 20 pens of the same colour 22. Find the value of . 23. The diagram shows a square being divided into four rectangles. If the sum of the perimeter of the four rectangles is 40 cm, find the area of the square. 24. Given that 5! means 5  4  3  2  1, find the last digit of 2014!. Свалено от Klasirane.Com

25. Two women, Ann and Carol, and two men, Bob and David, are athletes. One is a swimmer, a second is a skater, a third is a gymnast, and a fourth is a tennis player. On a day they were seated around a square table: a.The swimmer sat on Ann’s left. b . The gymnast sat across from Bob. c . Carol and David sat next to each other. d . A woman sat on the skater’s left. Who is the tennis player?