alleryStart learning →Which pair of numbers are each their own reciprocal?
- 0 and 1
- 2 and −2
- 1 and −1
- 1/2 and 2
Show answer and solution
Correct answer: C. 1 and −1
1 × 1 = 1 and (−1) × (−1) = 1, so both equal their own reciprocal.
Olympiad (Class 7) Rational numbers — practice questions — page 2
Explore 63 free Rational numbers questions in Olympiad (Class 7) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
Practise Rational numbers with Quill →Rational numbers questions and exercises with answers
Showing questions 31–60 of 63.
Which pair of numbers are each their own reciprocal?Read the answer and worked solution →Without finding the exact value, which statement about 2/3 × 12 is correct?Read the answer and worked solution →Which product is the largest?Read the answer and worked solution →A tortoise walks 1/4 km each hour. How far does it walk in 3 hours?Read the answer and worked solution →1/4 litre of milk is shared equally among 5 cups of tea. How much milk goes into each cup?Read the answer and worked solution →Dividing a number by 2/3 gives the same result as multiplying it by which number?Read the answer and worked solution →A number is 3/5 of 20. What is half of that number?Read the answer and worked solution →What is 1/2 of 1/3 of 1/4 of 240?Read the answer and worked solution →How can the integer −9 be written in the form p/q?Read the answer and worked solution →Which of these sets contains all the others?Read the answer and worked solution →How many integers lie strictly between −7/2 and 5/2?Read the answer and worked solution →Compute −7/10 + 3/5 − (−1/4).Read the answer and worked solution →Simplify (2/3 ÷ 4/9) × 3/2.Read the answer and worked solution →Take the reciprocal of 1/2 + 1/3. What number results?Read the answer and worked solution →If x divided by 5 equals −2/3, what is x?Read the answer and worked solution →Written with denominator 3, the rational number 6/−9 is which number?Read the answer and worked solution →If p/q equals 3/4 and q is 20, what is p?Read the answer and worked solution →Which value cannot be the denominator of a rational number?Read the answer and worked solution →Of 5/8 and 7/12, which one is larger?Read the answer and worked solution →Which fraction is larger than 1/3 and smaller than 1/2?Read the answer and worked solution →Find the number halfway between 2/3 and 3/4.Read the answer and worked solution →5/2 kg of sugar costs 90 rupees. What is the cost of 1 kg?Read the answer and worked solution →A cyclist covers 3/4 km in 1/8 hour. What is the speed?Read the answer and worked solution →In a class of 45, two thirds are girls and 3/5 of the girls are in the choir. How many girls are in the choir?Read the answer and worked solution →A ribbon is 7/2 m long and 3/4 m is used. How much is left?Read the answer and worked solution →What number is −(−3/5), the negation of −3/5?Read the answer and worked solution →Find 1/(1×2) + 1/(2×3) + 1/(3×4).Read the answer and worked solution →Two rationals have sum 5/6 and difference 1/6. What is the larger one?Read the answer and worked solution →Which positive rational x makes x + 1/x equal to 5/2?Read the answer and worked solution →A number increased by 1/4 of itself becomes 15/2. What is the number?Read the answer and worked solution →
Worked practice questions
Without finding the exact value, which statement about 2/3 × 12 is correct?
- Below 12, since 2/3 is less than 1
- Above 12, since 2/3 is less than 1
- Above 12, since 12 is a large number
- Exactly 12, since 2/3 is a fraction
Show answer and solution
Correct answer: A. Below 12, since 2/3 is less than 1
Multiplying by a number between 0 and 1 gives a smaller product, and 2/3 × 12 is 8.
Which product is the largest?
- 8 × 3/4
- 8 × 5/4
- 8 × 1/2
- 8 × 2/3
Show answer and solution
Correct answer: B. 8 × 5/4
Only 5/4 is greater than 1, so 8 × 5/4 = 10 exceeds 8, while the others are below 8.
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