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Grade 7: Math subject test

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Subject practice test

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Subject practice test
1. A model cart travels 4 kilometers in 9/4 hours at constant speed. What is its unit rate?
2. For candidate multiplier 8, which supplied (x,y) table is proportional?
3. A proportional graph passes through (0,0) and (8,72). What is y when x=10?
4. Printer A makes 24 pages in 8 minutes; B makes 40 in 11 minutes. Which statement follows from these constant-rate models?
5. Write 8/8 as an exact decimal.
6. Convert 0.777… (the digit 7 repeats forever) to a fraction.
7. Compute −8/3 + 9/4 exactly.
8. Using numerator 8, which comparison of the supplied negative fractions is true?
9. A fictional item costs $160. Apply a 20% discount, then 5% tax to the discounted price. What is the final total?
10. A fictional club changes from 800 to 680 members. What is the percent decrease?
11. After a 25% reduction, a fictional fee is $120. What was the original fee?
12. A fictional simple-interest model uses principal $800, annual rate 4%, and 9 years. What interest alone accrues?
13. Expand 8(x+9).
14. Simplify 8x+9−17x+8.
15. Factor the greatest common positive integer from 24x+40.
16. A fictional kit needs 8 strips of length x plus one extra strip of length 9. Which expression gives total length?
17. Solve x/2+9=17.
18. Solve 8(x−1)=64.
19. Solve −2x < -16.
20. A fictional model has a fixed cost $7 plus $5 per item x. Spending must be at most $47. Which whole-number counts are allowed?
21. An original plan uses 1 cm for 4 m. A corridor is 8 cm on the plan. What actual length does the plan represent?
22. A scale drawing uses 1 cm for 3 m. A rectangular region is 8 cm by 9 cm on the drawing. What actual area is represented?
23. Two adjacent angles form a straight angle. One is 58°. Find the other.
24. A triangle has two remote interior angles 41° and 56°. What is the exterior angle at its third vertex?
25. A model circle has radius 8 cm. Use π≈3.14 to estimate circumference.
26. A model circle has radius 8 m. Use π≈3.14 to estimate its area.
27. A rectangular prism measures 8 cm by 9 cm by 10 cm. What is its volume?
28. A closed rectangular box is 8 cm by 9 cm by 10 cm. What is its total surface area?
29. A fictional school has 160 students on one roster. Which plan is a simple random sample of 20 students?
30. In a random sample of 40 from a fictional population of 400, 26 favor a proposal. Use the sample proportion to estimate the population number favoring it.
31. A model trial succeeds 11 times in 40 attempts. What is the experimental success proportion?
32. A fair coin and a fair 9-section spinner are independent. What is the chance of heads and section 1?

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