Rational numbers are numbers that can be expressed as a fraction of two integers, including whole numbers, fractions, and terminating or repeating decimals. They extend the number system and help us represent and work with a wider range of quantities. Understanding rational numbers is important for higher mathematics and solving problems that involve parts and divisions. These Rational Numbers Grade 7 questions provide practice with operations and properties of rational numbers. These 10 MCQs will help students check their knowledge of rational numbers and operations with them.
Add the multiplicative inverse of -5/7 to the additive inverse of 8/9.
Answer: (a) -103/45
The negative of a rational number when added to 6/11 gives -3/4. Find the number.
Answer: (d) 113⁄44
Which of the following statements demonstrates the associative property of rational numbers? I. (1/3 + 1/2) x (-9/5) = (-9/5 x 1/3) + (-9/5 x 1/2) II. [-2/3 - 3/5] + (-6/7) = (-2/3) + [-3/5 + (-6/7)] III. x + y = 0, where x and y are two rational numbers. IV. (-3/5 + 9/2) + 8/7 = - (3/5 - 9/2) + 8/7
Answer: (c) II
Joseph takes two rational numbers. He multiplies these two numbers with the additive inverse of each other and finds the difference of the numbers so obtained. What is the difference?
Answer: (b) 0
Given that a = 5/7, b = -1/6 and c = 1/3. Subtract the product of b and c from the sum of a and c.
Answer: (c) 139/126
What should be added to 1/5 in order to get the product of 16/243 and -9/10?
Answer: (b) -7/27
19/8 is added to a rational number. It is observed that the result is the product of -15/4 and the multiplicative inverse of -70/31. Find the number.
Answer: (a) -5/7
A number is subtracted from (31⁄6 + 12⁄7) and it becomes equal to the mean of 5 and 6. What is the reciprocal of that number?
Answer: (a) -21/22
Read the passage carefully and answer the following question. Luci and Mark are preparing for their mid-semester exams. They both study for a certain number of hours a day for four subjects: mathematics, science, English and history. Luci studies mathematics for 3/20 of her total study time, history for 1/4 of the total study time and English for 1/4 hours less than that for which Mark studies English. Mark studies English for 3/2 hours and mathematics for 1/2 hours more than that for which Luci studies mathematics. They both study science for an equal amount of time. Luci's total study time is 5 hours a day and that of Mark is 61⁄2 hours a day. For what time does Luci study science?
Answer: (d) 7/4 hours
Read the passage carefully and answer the following question. Luci and Mark are preparing for their mid-semester exams. They both study for a certain number of hours a day for four subjects: mathematics, science, English and history. Luci studies mathematics for 3/20 of her total study time, history for 1/4 of the total study time and English for 1/4 hours less than that for which Mark studies English. Mark studies English for 3/2 hours and mathematics for 1/2 hours more than that for which Luci studies mathematics. They both study science for an equal amount of time. Luci's total study time is 5 hours a day and that of Mark is 61⁄2 hours a day. Find the ratio of the time for which Mark studies science to that for which he studies history.
Answer: (a) 7 : 8
| Topic | Quiz |
|---|---|
| Algebraic Expressions | Quiz on Algebraic Expressions |
| Data Handling | Quiz on Data Handling |
| Simple Linear Equations | Quiz on Simple Linear Equations |
| Exponents and Powers | Quiz on Exponents and Powers |
| Fractions | Quiz on Fractions |
| Integers | Quiz on Integers |
| Mensuration | Quiz on Mensuration |
| Profit, Loss and Percentage | Quiz on Profit, Loss and Percentage |
| Ratio and Proportion | Quiz on Ratio and Proportion |
| Rational Numbers | Quiz on Rational Numbers |
| Symmetry and Visualising Solid Shapes | Quiz on Symmetry and Visualising Solid Shapes |
| Triangles | Quiz on Triangles |
