Square Number and School Maths Quiz

4 April 2017

What fraction of the total number of pieces of candy does Pete have? 9. Arrange the four squares below to create five squares of the same size. You cannot interlock or overlap the squares. 10. One- fifth of a pound of chocolate is balance perfectly by two-fifth of a block of the same chocolate. What is the weight of the whole block of chocolate? ? Page 1 of 3 ? 11. Six hours ago, it was two hours later than three hours before midnight. What time is it? (a) 5 a. m. (b) 7 a. m. (c) 5 p. m. (d) 8 p. m. (e) 10 p. m. 12. Draw a square as shown and divide the square into four equal congruent parts with three straight lines.

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None of the lines may cross each other within the square r . 13. At a reception, one-third of the guests departed at a certain time. Later, two-fifths of the remaining guests departed. Even later, twothirds of those guests departed. If six people left, how many were originally at the party? (a)25 (b) 80 (c) 45 (d) 50 (e) 55 1 . 2 1 14. If x? =3 , then find x ? 2 x x 15. If xy = 12 ,yz = 20 and zx = 15 , the find the value of xyz. 16. Joan and Jane are sisters. Jean is Joan’s daughter and 12 years younger than her aunt is. Joan is twice as old as Jean. Fours years ago, Joan was the same age as Jane is now, was twice as old as her niece was.

How old is Jean? 17. A farmer knows that 20 of his hens, housed in 3 coops, will hatch 30 eggs in 18 days. How long will it take 30 hens, housed in 4 coops to hatch the same number of eggs? 18. What is the area of a circle whose radius is the diagonal of a square whose area is 4? 19. If @ is defined for all positive numbers a and b by a @ b = 2ab – b2, then find the value of 5 @ 2 . 20. There are five teams. Each team plays one game against each of the other teams. How many games are played together? 21. The length of a square is increased by 10% and breadth is decreased by 10%.

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