[PDF] SASMO 2014 Round 1 Primary 6 Problems.pdf | Plain Text

SASMO 2014 Round 1 Primary 6 Problems 1. A clock takes 3 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 8 chimes? 2. If n is a whole number, for what values of n is also a whole number? 3. Find the smallest whole number between 1 and 100 that is divisible by 12 and by 30. 4. A shop sells sweets where every 3 sweet wrappers can be exchanged for one more sweet. Catherine has enough money to buy only 26 sweets. What is the biggest number of sweets that she can get from the shop? 8. A whole number is between 50 and 100. When it is divided by 5, the remainder is 3. When it is divided by 7, the remainder is 5. Find the number. 9. A man travelled at 120 km/h for the first half of a 12-km journey. Then he travelled at 6 0 km/h for the rest of his journey. What is his average speed for the whole journey? 10. Amy buys an item for a 20% discount during a sale, but she still needs to pay a 5% GST (Goods and Services Tax). She is given two options. Option A: 20% discount first, then add 5% GST Option B: Add 5% GST first, then 20% discount Which option is cheaper for Amy? Or does it not matter? 11. The digits 3, 4, 5, 6 and 7 are all used to write a five-digit number ABCDE where the three-digit number ABC is divisible by 4, BCD is divisible by 5 and CDE is divisible by 3. Find all the possible values of the five-digit number ABCDE. 12. At a workshop, there are 20 participants. Each of them shakes hand once with one another. How many handshakes are there? Свалено от Klasirane.Com

13. In the following cryptarithm, different letters represent different digits and an asterisk * may represent any digit. The product MATH is a four-digit number less than 5000. What number does MATH represent? E H  E H * * 6 + * * 8 M A T H 14. There are 100 buns to be shared among 100 monks (consisting of senior and junior monks). The senior monks get 3 buns each and every 3 junior monks share 1 bun. How many senior monks are there? 15. What is the least number of cuts required to cut 5 identical sausages so that they can be shared equally among 9 people 16. How many digits are there before the 50 th ‘8’ of the following number? 85855855585555855555… 17. Find t he total number of triangles in the diagram. 18. A teacher has a bag of sweets to treat her class. If she gave 5 sweets to each student, then she would have 13 sweets left. If she gave 8 sweets to each student, then she would have 20 sweets short. How many students and how many sweets are there? 19. Find the value of . 20. Susie has 23 coins. She divides them into 5 piles so that each pile has a different number of coins. Find the smallest possible number of coins in the biggest pile. 21. Find the next term of the following sequence: 1, 4, 9, 7, 7, 9, 4, 1, 9, 1, … 22. Given that 5! means 5  4  3  2  1, find the last two digits of 2014!. 23. 5 2 3 1 There were 210 students in the hall. of the boys and of the girls wore T-shirts. If there were 78 students in the hall who wore T-shirts, how many boys were in the hall? Свалено от Klasirane.Com

24. A farmer wants to plant 10 trees in 5 rows such that there are exactly 4 trees in each row. Draw a diagram to show how the trees should be planted. 25. Frank knows 5 women: Amy, Betty, Cheryl, Doris and Elaine. a. 3 women are under 30 and the other 2 women are over 30. b. 3 women are nurses and the other 2 women are teachers. c . Amy and Cheryl are in the same age bracket. d. Dor is and Elaine are in different age brackets. e . Betty and Elaine have the same occupation. f . Cheryl and Doris have different occupations. g. Of the 5 women, Frank will marry the teacher over 30. W ho will Frank marry? Свалено от Klasirane.Com