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Grade 7 Math Review: Discounts, Proportions, Area, and Triangles

This comprehensive Grade 7 math review covers crucial topics including discounts, geometric calculations, and triangle similarity. Students will tackle real-world problems, such as calculating the percent discount on a board game, determining the height of an actual building based on a model, and analyzing various areas and perimeters of shapes. Additionally, there are exercises on finding prime factorization, as well as supplementary and complementary angles. Enhance your math skills and prepare for assessments with this valuable resource.

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Grade 7 Math Review: Discounts, Proportions, Area, and Triangles

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  1. PSSA Review Mrs. Byrne Grade 7

  2. Subtract

  3. Danny buys a board game that is on sale for off the original price. What is the percent of discount for the price of the game?

  4. Simplify

  5. A model of a large office building is built to a scale of 1 inch:71 feet. If the height of model is 13.1 inches, what is the height of the actual building? • A. 77.51 feet • B. 9,301 feet • C. 775.1 feet • D. 930.1 feet

  6. What is the value of d in the equation below?

  7. A doorway is 6 feet 2 inches high. Mr. Chan is 5 feet 9 inches tall. His hat adds 4 inches to his total height. How much space is there between the top of the hat and the top of the doorway?

  8. Which is closest to the circumference of the circle? • A. 36 feet • B. 108 feet • C. 18 feet • D. 12 feet 6 ft

  9. Use proportions to find which two triangles are similar triangles. 4 cm 6 cm 12 cm 8 cm 7 cm 8 cm 7 cm 11 cm 14 cm

  10. What is 4% of 450?

  11. Solve:

  12. Find the volume. 6 in Volume = 7 in

  13. Find the area: 8 ft Area = (length)(width) 8 ft 8 ft 8 ft

  14. Find the perimeter: 8 ft 8 ft 8 ft 8 ft

  15. Find the area: 9 ft Area = (length)(width) 12 ft 12 ft 9 ft

  16. Find the perimeter: 9 ft 12 ft 12 ft 9 ft

  17. Find the area: 12 ft 12 ft Area = 9 ft 11 ft

  18. Find the perimeter: 12 ft 12 ft 9 ft 11 ft

  19. Find the area: 13 ft Area = (base)(height) 7 ft 7 ft 13 ft 6 ft

  20. Find the perimeter: 13 ft 7 ft 7 ft 13 ft 6 ft

  21. Find the area: Area = 16 cm

  22. What is the prime factorization of 54?

  23. What angle is supplementary to 29 degrees?

  24. What angle is complementary to 29 degrees?

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