Quadrilaterals and Partitioning Shapes: Grade 3 Math Test Answer Key – PDF Download

Grade 3 Quadrilaterals Test Answer Key: questions 1–5

Question 1: Find the quadrilaterals (2 points)

1. A, C and E each have 4 sides. A, C, E
2. B is a triangle with 3 sides. D is a pentagon with 5 sides.

Scoring: 1 point for A, C and E with no extra letters. 1 point for 3 and 5.

Question 2: Name the shapes (3 points)

1. P has 4 equal sides and 4 right angles: square.
2. Q has 4 right angles but the sides are not all equal: rectangle.
3. R has 4 equal sides and no right angles: rhombus.

Scoring: 1 point for each correct name. Accept “rectangle” or “rhombus” for P only if the student also says square.

Question 3: True or false (2 points)

1. True. A square has 4 equal sides, and that is the attribute of a rhombus.
2. False. A rectangle can have sides of different lengths, such as 6 in and 3 in.

Scoring: For each part, half a point for the true or false answer and half a point for a correct reason; round the part to 1 if both are right, 0 otherwise.

Question 4: Draw quadrilaterals (3 points)

1. Any rectangle with unequal sides works, for example 4 spaces wide and 2 spaces tall.
2. Any four-sided shape with unequal sides and no right angles works.
3. The sample shape has sides of 4, about 3.6, 5 and about 3.2 spaces, so the sides are not all equal. It has no right angles. It fits none of the three groups.

Scoring: (a) 1 point for 4 straight sides, 4 right angles and unequal neighbors. (b) 1 point for 4 straight sides with unequal lengths and no right angles. (c) 1 point for a reason that names the attributes.

Question 5: Equal parts (2 points)

1. 3 equal parts: each part is \(\frac{1}{3}\) of the rectangle.
2. \(18 : 3 = 6\). Each part is 2 by 3. 6 square units.

Scoring: 1 point for \(\frac{1}{3}\). 1 point for 6 square units.

Grade 3 Quadrilaterals Test Answer Key: questions 6–8

Question 6: Halves or not (3 points)

1. Square P: both parts are 2 by 4, so each has 8 square units. Square P
2. The narrow part is 1 by 4 and the wide part is 3 by 4. 4 square units and 12 square units
3. Halves must have equal areas. 4 is not equal to 12, so these parts are not equal.

Scoring: 1 point for P. 1 point for both areas, 4 and 12. 1 point for a reason about unequal areas.

Question 7: Two ways to cut (2 points)

Two possible ways are shown. In each, both parts have an area of 8 square units.

Accept the horizontal cut too.

Scoring: 1 point for each valid way. The two ways must be different. A cut that makes parts of unequal area earns 0 points.

Question 8: Ethan's garden bed (3 points)

1. \(6 \times 4 = 24\). 24 square feet
2. \(24 : 8 = 3\). 3 square feet (each section is 3 ft by 1 ft)
3. 8 equal sections: \(\frac{1}{8}\)

Scoring: 1 point for each part. Include the unit square feet in parts (a) and (b).

Scoring summary

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Grade 3 Quadrilaterals and Partitioning Shapes test answer key

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