Grade 5 Quiz: Geometry — Easy Version 1
Grade 5 · MathSheets Name: ____________________ Date: __________
Answer every question. The lesson name before each question tells you which skill it checks — open that lesson if you need a reminder.
How to solve
This quiz mixes questions from different lessons, like a real test. Read each question carefully: the lesson name in front tells you what kind of problem it is. Check your answers, then practise the lessons where you made mistakes.
Example
Types of Angles: Acute, Right, Obtuse, Straight, Reflex & Full Turn: Classify an angle of 23°: acute, right, obtuse, or straight?
Answer: acute
Not quite. The answer is
💡 Box A: 2 × 5 × 2 = 10 × 2 = 20 cubic cm. Box B: 5 × 5 × 6 = 25 × 6 = 150 cubic cm. 150 > 20, so the answer is B.
✓ Correct!
Not quite. The answer is
💡 Box A: 2 × 5 × 2 = 10 × 2 = 20 cubic cm. Box B: 5 × 5 × 6 = 25 × 6 = 150 cubic cm. 150 > 20, so the answer is B.
💡 How to solve: Volume of Rectangular Prisms
Multiply the three dimensions: Volume = length × width × height. The answer is in cubic units, such as cubic centimeters.
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A box is 2 cm long, 3 cm wide, and 2 cm tall. What is its volume in cubic centimeters?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 One layer is 7 × 1 = 7 cubes, and there are 2 layers: 7 × 2 = 14 cubes. The answer is 14 cubic units.
✓ Correct!
Not quite. The answer is
💡 One layer is 7 × 1 = 7 cubes, and there are 2 layers: 7 × 2 = 14 cubes. The answer is 14 cubic units.
💡 How to solve: Volume by Counting Cubes
Volume is the number of unit cubes that make the solid. For a box, count one layer (length × width) and multiply by the number of layers: 4 × 3 × 2 = 24 cubic units. For a staircase shape, count the cubes in each stack (how tall it is) and add the stacks; the cubes under the top ones are there even though you cannot see them.
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How many unit cubes make this solid? Give the volume in cubic units.
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Not quite. The answer is
💡 A rhombus needs 4 equal sides. Every square has 4 equal sides, so a square is always a rhombus.
✓ Correct!
Not quite. The answer is
💡 A rhombus needs 4 equal sides. Every square has 4 equal sides, so a square is always a rhombus.
💡 How to solve: Classifying Quadrilaterals & Triangles
Every square is a rectangle and a rhombus, and every rectangle and rhombus is a parallelogram, because it has all of their properties. Give the most specific name that fits. A triangle is right if one angle is 90°, obtuse if one angle is more than 90°, and acute if all three angles are less than 90° (the angles always add up to 180°).
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Complete the sentence with always, sometimes, or never: A rhombus is ___ a parallelogram.
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Not quite. The answer is
💡 The unit square is cut into 6 × 5 = 30 equal small rectangles, so each one is 130 square unit. The shaded rectangle is 5 by 5, so it covers 5 × 5 = 25 of them: 2530. Simplify: divide the top and the bottom by 5: 2530 = 56. The area is 56 square units.
✓ Correct!
Not quite. The answer is
💡 The unit square is cut into 6 × 5 = 30 equal small rectangles, so each one is 130 square unit. The shaded rectangle is 5 by 5, so it covers 5 × 5 = 25 of them: 2530. Simplify: divide the top and the bottom by 5: 2530 = 56. The area is 56 square units.
💡 How to solve: Area with Fraction Side Lengths
Area = length × width, even when the sides are fractions. Multiply the numerators and multiply the denominators, then simplify. For mixed numbers, change them to improper fractions first. In a tiled unit square, count the shaded small rectangles and put that over the total number of small rectangles.
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The large square is 1 unit long and 1 unit wide. What is the area of the shaded rectangle in square units?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Volume = length × width × height. The two edges you know multiply to 5 × 3 = 15. To find the length, divide: 60 ÷ 15 = 4. Check: 15 × 4 = 60. The answer is 4 inches.
✓ Correct!
Not quite. The answer is
💡 Volume = length × width × height. The two edges you know multiply to 5 × 3 = 15. To find the length, divide: 60 ÷ 15 = 4. Check: 15 × 4 = 60. The answer is 4 inches.
💡 How to solve: Volume: Unit Cubes & Composite Solids
Volume counts the unit cubes that fill a solid: one layer holds length × width cubes, and there are height layers, so V = l × w × h = B × h (B is the area of the base). For a solid made of two rectangular prisms, find the volume of each prism and add them.
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This rectangular prism is built from unit cubes with no gaps. What is its volume in cubic units?
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Not quite. The answer is
💡 Exactly 90° is a square corner, so it is a right angle.
✓ Correct!
Not quite. The answer is
💡 Exactly 90° is a square corner, so it is a right angle.
💡 How to solve: Types of Angles: Acute, Right, Obtuse, Straight, Reflex & Full Turn
An acute angle is less than 90°. A right angle is exactly 90°, a square corner. An obtuse angle is more than 90° but less than 180°. A straight angle is exactly 180°, a straight line. A reflex angle is more than 180° but less than 360°. A full turn is exactly 360°, all the way around. Two angles that make a right angle add to 90°, a straight angle 180°, and a full turn 360°, so subtract to find a missing part.
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Classify an angle of 90°: acute, right, obtuse, or straight?
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💡 The first number is how far right (x) and the second is how far up (y). P is 1 right and 4 up, so its coordinates are (1, 4).
✓ Correct!
Not quite. The answer is
💡 The first number is how far right (x) and the second is how far up (y). P is 1 right and 4 up, so its coordinates are (1, 4).
💡 How to solve: Coordinate Plane (Quadrant I)
A point is written as (x, y): x tells how far right to move from the origin and y tells how far up. The x-coordinate is always the first number and the y-coordinate is the second, so write your point as (x, y).
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Point P is 4 units right and 2 units up from the origin. What are its coordinates?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 All three sides are 4, so it is equilateral.
✓ Correct!
Not quite. The answer is
💡 All three sides are 4, so it is equilateral.
💡 How to solve: Classifying Shapes
Compare the three side lengths. If all three are equal, the triangle is equilateral; if exactly two are equal, it is isosceles; if no sides are equal, it is scalene.
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A triangle has sides of length 2, 7, and 7. Classify the triangle by its sides.
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Not quite. The answer is
💡 Volume = length × width × height: 3 × 4 × 2 = 12 × 2 = 24. The answer is 24 cubic centimeters.
✓ Correct!
Not quite. The answer is
💡 Volume = length × width × height: 3 × 4 × 2 = 12 × 2 = 24. The answer is 24 cubic centimeters.
💡 How to solve: Volume of Rectangular Prisms
Multiply the three dimensions: Volume = length × width × height. The answer is in cubic units, such as cubic centimeters.
Try a similar one
A box is 6 cm long, 3 cm wide, and 5 cm tall. What is its volume in cubic centimeters?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 First solid: one layer is 8 × 1 = 8 cubes, and there are 2 layers: 8 × 2 = 16 cubes. Second solid: there is just 1 layer: 8 × 1 = 8 cubes. Together: 16 + 8 = 24. The answer is 24 cubic units.
✓ Correct!
Not quite. The answer is
💡 First solid: one layer is 8 × 1 = 8 cubes, and there are 2 layers: 8 × 2 = 16 cubes. Second solid: there is just 1 layer: 8 × 1 = 8 cubes. Together: 16 + 8 = 24. The answer is 24 cubic units.
💡 How to solve: Volume by Counting Cubes
Volume is the number of unit cubes that make the solid. For a box, count one layer (length × width) and multiply by the number of layers: 4 × 3 × 2 = 24 cubic units. For a staircase shape, count the cubes in each stack (how tall it is) and add the stacks; the cubes under the top ones are there even though you cannot see them.
Try a similar one
How many unit cubes make this solid? Give the volume in cubic units.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Grade 5 Quiz: Geometry — Easy Version 1
Answer every question. The lesson name before each question tells you which skill it checks — open that lesson if you need a reminder.