Ultimate Grade 5 Math Revision Test I: Essential Skills Review
Welcome to your ultimate revision test. This practice set covers the core math concepts required for success in Grade 5. Use this test to identify your strengths and discover areas that Part A: Number Sense and Place Value
1. What is the value of the underlined digit in the number 4,382,105? D) 800,000 2. Solve: 45.62 × 10³ D) 456,200 3. Round 18.736 to the nearest hundredth. Part B: Operations with Whole Numbers and Decimals 4. Multiply: 342 × 26 5. Divide: 1,248 ÷ 24 6. Subtract: 14.5 – 3.82 Part C: Fractions and Mixed Numbers 7. Add the fractions: 37three-sevenths 111211 over 12 end-fraction 5125 over 12 end-fraction 34three-fourths 8. Multiply: 123512 over 35 end-fraction 7127 over 12 end-fraction 212021 over 20 end-fraction 152815 over 28 end-fraction 9. Divide: 43four-thirds 1121 over 12 end-fraction Part D: Algebraic Thinking and Coordinate Planes 10. Evaluate the expression:
11. On a coordinate plane, starting from the origin (0,0), how do you move to plot the point (4, 7)? A) Up 4 units, then right 7 units B) Right 4 units, then up 7 units C) Left 4 units, then down 7 units D) Right 7 units, then up 4 units Part E: Measurement, Data, and Geometry
12. A rectangular prism has a length of 6 cm, a width of 3 cm, and a height of 4 cm. What is its volume? A) 13 cm³ B) 36 cm³ C) 54 cm³ D) 72 cm³ 13. Convert the unit: 3.5 Liters = _______ Milliliters. C) 3,500 mL D) 35,000 mL
14. Which description best classifies an equilateral triangle? A) A triangle with no equal sides. B) A triangle with exactly two equal sides. C) A triangle with three equal sides. D) A triangle with one right angle. Answer Key & Explanations
C) 80,000 | The digit 8 sits in the ten-thousands place (8 × 10,000).
C) 45,620 | Multiplying by 10³ (1,000) shifts the decimal point three places to the right.
C) 18.74 | The thousandths digit (6) tells you to round the hundredths digit (3) up to 4.
A) 8,892 | 342 × 20 = 6,840 and 342 × 6 = 2,052. Adding them yields 8,892. B) 52 | 24 × 50 = 1,200, leaving 48. 24 × 2 = 48.
A) 10.68 | Line up the decimal points and add a placeholder zero: 14.50 – 3.82 = 10.68. B) 111211 over 12 end-fraction | Find the common denominator (12): A) 123512 over 35 end-fraction
| Multiply numerators straight across (3 × 4 = 12) and denominators straight across (5 × 7 = 35).
C) 12 | Dividing by a fraction is the same as multiplying by its reciprocal:
B) 19 | Clear the parentheses first (8+4=12), then the brackets (12 × 2 = 24), then subtract (24 – 5 = 19).
B) Right 4 units, then up 7 units | The first number is the x-coordinate (horizontal), and the second is the y-coordinate (vertical).
D) 72 cm³ | Use the volume formula: Length × Width × Height (6 × 3 × 4 = 72).
C) 3,500 mL | There are 1,000 milliliters in 1 liter. 3.5 × 1,000 = 3,500.
C) A triangle with three equal sides. | “Equi-” means equal, and “-lateral” means side.
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