Math Probems : Grade 7
10:41 PM
Muhammad Yusuf
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1. Everyday, Lisa puts her spare change (nickels and dimes) in a piggy-bank. This weekend she decides to count her savings. She finds that she has 72 coins with a total value of $4.95. How many dimes does she have?
(A) 14 (B) 23 (C) 25 (D) 27 (E)
2. Ève has two more marbles than Solène. Solène has twice as many marbles as Steve. Steve has 7 less marbles than Ève. How many marbles do they have between them?
(A) 13 (B) 20 (C) 27 (D) 34 (E) None of these
3. One day in math class, Shelley asks the teacher: “Mr. Nelson, how old are you?” Mr. Nelson responds: “This year I am three times as old as my sister. However, six years ago, I was five times as old as she was.” How old is the mathematics teacher?
(A) 36 (B) 40 (C) 49 (D) 55 (E) None of these
4. Four tennis players enter a tournament. How many different ways can the pairings be made for the first round games?
(A) 3 (B) 6 (C) 8 (D) 12 (E) 24
5. A box contains some apples. Andrée takes ½ of them along with one extra apple. Beatrice takes 1/3 of the remaining apples along but put two apples back in the box and finally, Corrine takes 5/6 of the remaining apples along with one more apple. There are now seven apples left in the box. How many apples were in the box before Andrée took her share?
(A) 16 (B) 44 (C) 110 (D) 140 (E) None of these
6. The “floor” of a fraction is defined to be the largest integer which is not greater than that fraction. For instance, floor (10 / 3) = 3. Evaluate
floor ( floor ( 1000 / 7 ) / (floor ( 71 / 2 ) ).
(A) 4 (B) 5 (C) 7 (D) 10 (E) 500
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