8th grade number sense
8th grade (Year 9 in England) · 15 questions · Common Core: 8.EE.A.3, 8.EE.A.4, 8.EE.A.2, 8.NS.A.2 · England: KS3 Number, GCSE Foundation Number, GCSE Higher Number
Name
Date
Score/ 15
Question 1
On a number line, √52 is between 7 and 8. Is it closer to 7 or to 8?
- A. 7
- B. 8
Question 2
Solve 5x² = 320 for the positive value of x.
Answer
Question 3
Is −5 rational or irrational?
- A. Rational
- B. Irrational
Question 4
Estimate √96 to 1 decimal place (you may use a calculator to check).
Answer
Question 5
How many times heavier or larger is the Sun's diameter (about 1.4 × 10⁶ km) than the Moon's diameter (about 3.5 × 10³ km)?
Answer
Question 6
Arjun says √484 = 242 because the square root halves the number. What is √484 really?
Answer
Question 7
Write 4.5 × 10⁶ as an ordinary number.
Answer
Question 8
A cube-shaped box has a volume of 343 cm³. How long is each edge, in cm?
Answer
Question 9
Write 570 000 000 in scientific notation (standard form).
- A. 5.7 × 10⁷
- B. 5.7 × 10⁸
- C. 57 × 10⁷
- D. 5.7 × 10⁹
Question 10
Work out (4 × 10⁴) × (2 × 10⁶). Give the answer in scientific notation.
Answer
Question 11
Write 0.0079 in scientific notation.
Answer
Question 12
Work out (2.2 × 10²) × (5 × 10¹). Type the answer as an ordinary number.
Answer
Question 13
Hana's square garden has an area of 100 m². How long is one side, in metres?
Answer
Question 14
Solve x³ = 1.
x =
Question 15
Felix writes 4000 as 40 × 10². Why is that not scientific notation?
- A. 40 is not between 1 and 10
- B. The power of 10 must be negative
- C. You cannot use decimals
- D. The value is wrong
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