Square Number and School Maths Quiz

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AVM Higher Secondary School

Maths Quiz
Pre-Qualifying Round
Class: 9 and 10 Subject: Mathematics

1. If n is an odd integer, which one of the following is an even integer? n (a) n 3 (b) (c) 2n3 (d) n n3 (e)  n 4 2. If x and y are perfect squares, then which of the following is not necessarily a perfect square? (a) x2 (b) xy (c) 4x (d) x + y (e) x5 3. Let P = ( x + y ) k . If P = 10 and k = 3, what is the average of x 1 5 10 7 and y? (a) 0 (b) (c) (d) (e) 2 3 3 2 4. A square with sides of length 3 cm is intersected by a line at S and T. What is the maximum possible distance between S and T? (a)  6 (b) 2  3 (c) 3  2 (d) (e) 9 2 5 5. If w is 10 percent less than x, and y is 30 percent less than z, then wy is what percent of less than xz? (a) 10% (b) 20% (c) 37% (d) 40% (e) 100% 6. The average of five numbers is 6.9. If one of the numbers is deleted, the average of the remaining numbers is 4.4. What is the value of the number deleted? 7. John is 20 years older then Steve. In 10 years, Steve’s age will be half that of John’s. What is Steve’s age? (a)2 (b) 8 (c) 10 (d) 20 (e) 25 8. Joe takes three-fifths of a bag of candy. Bob has three fourths of Pete’s share of the remaining candy. 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?

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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. 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...
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