Math Problems : Grade 7 (2)
10:43 PM
Muhammad Yusuf
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1. A 4 x 4 x 4 cube consisting of smaller cubes is painted and then broken apart. How many of the smaller cubes will have exactly 2 painted sides?
(A) 8 (B) 16 (C) 20 (D) 24 (E) 32
2. How many three digit numbers can be constructed using the digits 1, 2, 3, 4 and 5 if the same digit cannot appear twice in a row in any of the numbers?
(A) 60 (B) 65 (C) 80 (D) 120 (E) None of these
3. A rectangular floor is completely covered with tiles whose size is 1 x 2. If the tiles are not cut and do not overlap, the size of the floor cannot be
(A) 4 x 9 (B) 8 x 8 (C) 11 x 7 (D) 16 x 5 (E) None of these
4. How many ways can the number 10 be written as the sum of exactly three positive and not necessarily different integers if the order in which the sum is written does not matter? For instance, 10 = 1 + 4 + 5 is one such sum. This sum is the same as 10 = 4 + 1 + 5.
(A) 5 (B) 6 (C) 7 (D) 8 (E) 10
5. Paul’s calculator can make only two operations: add 12 to the number displayed, or subtract 7 from it. Today, it shows the number 1998. What is the minimal number of steps needed to display the number 2000?
(A) 4 (B) 12 (C) 16 (D) 21 (E) 24
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