GOTM - Math Grade 7 Placement Test
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1. Find the value of x if it is true that (3x-13)(4-6x)=5.
4 points
2. The price of a bag has been reduced by 19%. But Jenna still had to pay 9% tax on her purchase. What was the overall percent decrease of the original sticker price that Jenna experienced?
4 points
Clear selection
3. What is the next number in the series 88, 105, 122, 139, ...
4 points
4. Donny is thinking of a decimal number between 1 and 2. When he multiplies his number by 3 he gets the same result as when he increases it by 3. What is Donny's number?
4 points
5. A triangle has area 18. A figure is formed by the union of this triangle and its own reflections across each of its sides. How much percent of the area of the triangle is the area of the final figure?
4 points
6. In how many ways can we place 5 identical cards in 3 identical wallets?
4 points
Clear selection
7. Convert 5 g/cm^3 into kg/m^3.
4 points
Clear selection
8. If 7/8 of a number is 217, what is the number?
4 points
9. Marla took 45% of a number, added 10 to it, and the result was 30.70. What was the number Marla used?
4 points
10. If an artifact with a volume of 300 cubic inches is shipped in a rectangular box, the remaining 84% of the box must be filled with pellets, for safety. If boxes come in standard sizes of A= 2.5 cubic feet, B=2 cubic feet, C=1.5 cubic feet, D=1 cubic foot and E=0.5 cubic feet, which box makes the most sense to use? Assume the artifact fits in any of the boxes.
4 points
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