5th grade Math practice sheet
Texas Essential Knowledge and Skills (TEKS) · from Gradelings · Name: ______________________
Question 1
Write this as a decimal: two and nine hundred forty-three thousandths.
answer box
2.943
Hint: The word “and” marks the decimal point. The last word tells you the last place: tenths = 1 digit after the point, hundredths = 2, thousandths = 3. Use zeros to hold empty places.
Question 2
Use the area model. What is 59 × 37?
Area model for 59 × 37 × 50 9 30 1500 270 7 350 63 answer box
2183
Hint: Each box holds a partial product. Add all the partial products inside the model to get the total.
Question 3
A store needs to ship 327 books. Each box holds 6 books. How many boxes are needed?
answer box
55
Hint: Divide. If there is a remainder, the leftover ones still need a place, so you need one more than the quotient.
Question 4
What is 2/3 − 3/5?
2/3 − 3/5 = ?
- 1/2
- 1/15
- 19/15
- 2/15
1/15
Hint: Use a common denominator: 10/15 − 9/15.
Question 5
40 = ? × 2 × 2 × 5. What prime number is missing?
- 5
- 4
- 3
- 2
2
Hint: Divide 40 by the other factors: 40 ÷ 2 ÷ 2 ÷ 5 = 2.
Question 6
Solve for n.
n ÷ 8 = 8
answer box
64
Hint: Use the opposite operation to get n by itself.
Question 7
Solve for k.
k ÷ 7 = 5
answer box
35
Hint: Undo dividing by 7: multiply 5 by 7.
Question 8
Which expression means “multiply 5 by 4, then add 5”?
- 5 × (4 + 5)
- (5 + 5) × 4
- 5 × 4 + 5
- 5 + 4 × 5
5 × 4 + 5
Hint: Parentheses show what to do first.
Question 9
A box is 3 cm long, 8 cm wide and 8 cm high. What is its volume?
- 19 cubic centimeters
- 194 cubic centimeters
- 224 cubic centimeters
- 192 cubic centimeters
- 24 cubic centimeters
192 cubic centimeters
Hint: Volume = length × width × height = 3 × 8 × 8.
Question 10
Rectangles A and B have the same area. Which statement is true?
Rectangle Length Width A 20 cm 3 cm B 10 cm 6 cm - Rectangle A has the greater perimeter.
- Rectangle B has the greater perimeter.
- They have the same perimeter.
Rectangle A has the greater perimeter.
Hint: Find each perimeter: 2 × (length + width). Same area does not mean same perimeter!
Answer key
- 1. 2.943 (Decimals)
- 2. 2183 (Multiply)
- 3. 55 (Divide)
- 4. 1/15 (Unlike Denominators)
- 5. 2 (Prime Factor Trees)
- 6. 64 (Expressions & Equations)
- 7. 35 (Patterns & Equations)
- 8. 5 × 4 + 5 (Parentheses & Expressions)
- 9. 192 cubic centimeters (Volume of Boxes)
- 10. Rectangle A has the greater perimeter. (Area & Perimeter)
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