9th grade number sense
9th grade (Year 10 in England) · 16 questions · Common Core: HSN.RN.A.2, HSN.Q.A.3, 8.NS.A.1, HSN.RN.B.3 · England: GCSE Higher Number, GCSE Foundation Number
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Date
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Question 1
A measurement is 45 cm, correct to the nearest whole number. What is the upper bound?
Answer
Question 2
Write 0.77777… as a fraction in simplest form.
Answer(as a fraction)
Question 3
A rectangle measures 15 cm by 4 cm, each to the nearest cm. What is the upper bound of its area, in cm²?
Answer
Question 4
Simplify 4√18 × 3√3. Give your answer in the form a√b.
Answer
Question 5
Simplify √216. It can be written as k√6. What is k?
Answer
Question 6
Simplify: √108 + √27. Give your answer in the form a√b.
Answer
Question 7
Simplify: 3√6 + 4√6 − 6√6
Answer
Question 8
Simplify √375 ÷ √5. Give your answer in the form a√b or as a whole number.
Answer
Question 9
Work out √3 × √3.
Answer
Question 10
Expand and simplify: (4 + √7)(4 − √7)
Answer
Question 11
Simplify √42 × √6. Give your answer in the form a√b (or a whole number).
Answer
Question 12
A measurement is 162 m, correct to the nearest whole number. What is the lower bound?
Answer
Question 13
Write 0.454545… as a fraction in simplest form.
Answer(as a fraction)
Question 14
A rectangle measures 17 cm by 6 cm, each to the nearest cm. What is the upper bound of its area, in cm²?
Answer
Question 15
Simplify 5√6 × 2√3. Give your answer in the form a√b.
Answer
Question 16
Simplify √28. It can be written as k√7. What is k?
Answer
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