Challenge Math: Problem Solving for the Gifted (Level VII)
Sample Assignment
Name: <your name>
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1) A sequence of positive integers begins with 1, 2, 3. Each term after the third is the sum of the two previous terms. What is the 10th term in the sequence?
Answer:
2) The 5-digit number 1234U is divisible by 9. What digit does the letter U represent?
3) Using digits 7, 8, 9, and 0 each once in a number, how many different four-digit numbers can be formed if the leading digit cannot be zero?
Answer: different four-digit numbers
4) Sofia’s gym locker pin is the greatest 3-digit number whose digits have a product of 70. What is Sofia’s gym locker pin?
5) On a piece of grid paper, Raju drew a rectangle that had 6 rows with 7 squares in each row. Then he divided the rectangle into two parts, part A and part B as shown below. The area of part A is 40 cm2 greater than the area of part B. What is the sum of the area of part A and the area of part B?
Answer: cm2
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