Math Problems : Junior School
9:35 PM
Muhammad Yusuf
, Posted in
1. After finding the average of a list of 35 numbers, a student places the average on the list. The student then calculates the average of the 36 numbers on the list. What is the ratio of the original average to the new average?
(A) 1:1 (B) 35:36 (C) 36:35 (D) 2:1 (E) None of these
2. What is the last digit of the product of the first 2005 prime numbers?
(A) 0 (B) 1 (C) 2 (D) 3 (E) 5
3. How many 5-digit numbers are there that are both a perfect square and perfect cube?
(A) 1 (B) 2 (C) 3 (D) 4 (E) 5
4. Let P equal the product of 3,659,893,456,789,325,678 and 342,973,489,379,256. The number of digits in P is
(A) 32 (B) 33 (C) 34 (D) 35 (E) 36
5. An 18 inch by 24 inch painting is to be placed into an open wooden frame with the longer dimension vertical. The painting and frame do not overlap. The wood at the top and bottom is twice as wide as the wood on the sides. If the frame area equals that of the painting itself, the ratio of the smaller to the larger dimension of the framed painting is
(A) 1:3 (B) 1:2 (C) 2:3 (D) 3:4 (E) 1:1
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