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7th Grade Mathematics Practice - Set 3 — Iowa Assessments (ITBS) Prep

This 7th Grade math practice set addresses the algebraic reasoning and quantitative analysis skills evaluated on the Iowa Assessments (ITBS) at Level 12. Seventh graders will work with linear equations, proportional relationships, probability and statistics, geometric transformations, and complex multi-step problems. The Iowa Test of Basic Skills at this level measures students' readiness for advanced mathematics by testing their ability to think algebraically and apply mathematical concepts across different contexts. These practice questions help 12 and 13 year old students strengthen the analytical skills crucial for standardized assessment success. This is Set 3, providing additional practice problems to ensure thorough preparation across all tested math topics.

Total Questions: 25 Grade: 7th Grade Iowa Level: Level 12 Ages: 12-13
AnglesTrianglesAreaPerimeterCirclesVolumeSurface Area
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Math Set 3

Geometry, Measurement

Question 1 of 25
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Review All 25 Practice Questions

Angles

  1. Two angles are supplementary. If one angle measures 65°, what is the measure of the other angle? (25° | 115° | 65° | 90°)
  2. Two angles are complementary. If one angle is 3 times the other, what is the larger angle? (22.5° | 67.5° | 45° | 60°)
  3. Two parallel lines are cut by a transversal. If one angle is 125°, what is the measure of its alternate interior angle? (55° | 125° | 65° | 180°)
  4. Vertical angles are formed by two intersecting lines. If one angle measures 42°, what is the measure of the angle adjacent to it? (42° | 138° | 48° | 90°)

Triangles

  1. A triangle has angles measuring 45° and 75°. What is the measure of the third angle? (60° | 45° | 75° | 120°)
  2. Which set of side lengths could form a triangle? (3, 5, 9 | 4, 6, 9 | 2, 4, 7 | 1, 2, 4)
  3. A right triangle has legs of 6 cm and 8 cm. What is the length of the hypotenuse? (14 cm | 10 cm | 12 cm | 7 cm)

Area

  1. What is the area of a triangle with a base of 12 cm and a height of 8 cm? (96 cm² | 48 cm² | 40 cm² | 20 cm²)
  2. A parallelogram has a base of 15 inches and a height of 9 inches. What is its area? (67.5 in² | 135 in² | 48 in² | 24 in²)
  3. What is the area of a trapezoid with bases of 8 cm and 12 cm, and a height of 6 cm? (48 cm² | 60 cm² | 72 cm² | 96 cm²)
  4. A rectangle has an area of 72 m² and a length of 12 m. What is the perimeter? (18 m | 36 m | 24 m | 30 m)
  5. A square has the same perimeter as a rectangle with length 10 cm and width 6 cm. What is the area of the square? (60 cm² | 64 cm² | 32 cm² | 16 cm²)

Perimeter

  1. A regular hexagon has a side length of 7 cm. What is its perimeter? (35 cm | 42 cm | 49 cm | 28 cm)

Circles

  1. What is the circumference of a circle with a radius of 7 cm? (Use π ≈ 3.14) (21.98 cm | 43.96 cm | 153.86 cm | 14 cm)
  2. What is the area of a circle with a diameter of 10 inches? (Use π ≈ 3.14) (31.4 in² | 78.5 in² | 314 in² | 15.7 in²)
  3. A circular garden has a circumference of 62.8 meters. What is its radius? (Use π ≈ 3.14) (20 m | 10 m | 5 m | 15 m)
  4. What is the area of a semicircle with a diameter of 8 cm? (Use π ≈ 3.14) (50.24 cm² | 25.12 cm² | 100.48 cm² | 12.56 cm²)
  5. A circle has an area of 154 cm². What is its diameter? (Use π ≈ 22/7) (7 cm | 14 cm | 21 cm | 49 cm)
  6. The radius of a circle is doubled. How does this affect the area? (The area doubles | The area quadruples | The area triples | The area stays the same)

Volume

  1. What is the volume of a rectangular prism with length 5 cm, width 4 cm, and height 6 cm? (15 cm³ | 120 cm³ | 148 cm³ | 60 cm³)
  2. A cylinder has a radius of 3 cm and a height of 10 cm. What is its volume? (Use π ≈ 3.14) (94.2 cm³ | 282.6 cm³ | 188.4 cm³ | 314 cm³)
  3. What is the volume of a triangular prism with a base triangle area of 15 cm² and a height of 8 cm? (60 cm³ | 120 cm³ | 23 cm³ | 46 cm³)
  4. If you triple the side length of a cube, how many times larger is the new volume? (3 times | 27 times | 9 times | 6 times)

Surface Area

  1. What is the surface area of a cube with side length 4 cm? (64 cm² | 96 cm² | 24 cm² | 16 cm²)
  2. A rectangular prism has dimensions 3 cm × 4 cm × 5 cm. What is its surface area? (60 cm² | 94 cm² | 47 cm² | 120 cm²)
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