All questions
Question 1
What number makes the equation true: 8×?=48?
- 5
- 7
- 6 (correct answer)
- 48
Explanation: Since 8 x 6 = 48, the missing number is 6, making Choice C correct. Choice A (5) and Choice B (7) are close numbers that do not satisfy the equation. Choice D (48) repeats one of the given numbers instead of solving for the unknown factor.
Question 2
Determine the missing number in 6×□=42.
- 7 (correct answer)
- 36
- 8
- 6
Explanation: Since 6 times 7 equals 42, the missing number is 7. Choice B, 36, comes from multiplying 6 by 6 instead of finding the missing factor. Choice C, 8, is close to the answer but does not make the equation true. Choice D, 6, is the given factor itself, not the missing number.
Question 3
What number makes 7×□=56 true?
- 7
- 9
- 8 (correct answer)
- 49
Explanation: 8 is correct because 7×8=56. 7 is incorrect; it's the given factor, not the missing one. 9 is incorrect because 7×9=63, not 56. 49 is incorrect; it's 7×7, not the missing factor for this equation. Question 4
Which number completes the equation: 72÷?=8?
- 7
- 10
- 8
- 9 (correct answer)
Explanation: Since 8×9=72, the missing number is 9, so Choice D is correct. Choice A (7) confuses this fact with a nearby multiplication fact, such as 8×7=56. Choice B (10) is close to the correct answer but does not satisfy the equation. Choice C (8) repeats a number already given in the equation instead of solving for the unknown. Question 5
Find the unknown number: 7×□=56.
- 8 (correct answer)
- 49
- 9
- 7
Explanation: Since 7 times 8 equals 56, the unknown number is 8. Choice B, 49, comes from multiplying 7 by 7 instead of finding the missing factor. Choice C, 9, is close to the answer but does not make the equation true. Choice D, 7, is the given factor itself, not the unknown.
Question 6
The equation 8×△=56 and △×4=□ both use the same value for △. What is the value of □?
- 32
- 14
- 28 (correct answer)
- 7
Explanation: Dividing 56 by 8 gives 7, which is the value of triangle. Multiplying 7 by 4 gives 28, so C is correct. Choice A (32) comes from multiplying 8 by 4 instead of using the value of triangle. Choice B (14) comes from dividing 56 by 4 instead of 8. Choice D (7) stops after finding triangle and does not complete the second step to find square.
Question 7
Jake arranged stickers in equal rows. He used 36 stickers total and made 4 rows. Later, he decided to rearrange the same stickers into 6 equal rows instead. Which equation helps find how many stickers will be in each new row?
- 4×9=?
- 6×?=36 (correct answer)
- ?×4=36
- 36×6=?
Explanation: Jake has 36 stickers total and wants 6 equal rows, so 6×?=36 finds stickers per row. Choice A calculates stickers in the original arrangement. Choice C finds stickers per row in the original 4 rows but doesn't help with the new arrangement. Choice D multiplies total stickers by rows, which doesn't make sense for this problem. Question 8
The equation ?×7=63 is true. What is the unknown number?
- 9 (correct answer)
- 8
- 7
- 6
Explanation: 9 is correct because 9 times 7 equals 63. 8 is incorrect because 8 times 7 equals 56, not 63. 7 is incorrect because it repeats a number already in the equation instead of solving for the unknown. 6 is incorrect because 6 times 7 equals 42, not 63.
Question 9
Maria has 7 boxes of crayons, with the same number of crayons in each box. She counts 42 crayons in total, then gives away 2 boxes to a friend. Which multiplication equation finds the number of crayons Maria has left after giving away the 2 boxes?
- 5×6=? (correct answer)
- 7×?=42
- 2×6=?
- ?×7=35
Explanation: Each box has 42 divided by 7, which is 6 crayons, and after giving away 2 boxes, Maria has 7 minus 2, which is 5 boxes left, so the crayons she has left is 5 x 6, making Choice A correct. Choice B finds crayons per box, which is a needed step but not the final answer to how many crayons are left. Choice C finds how many crayons were given away, not how many remain. Choice D does not correspond to any step in solving this problem.
Question 10
What is the value of n in 9×n=81?
- 8
- 81
- 18
- 9 (correct answer)
Explanation: Since 9×n=81, dividing both sides by 9 shows that n=9. Choice A (8) is off by one from the correct value. Choice B (81) repeats the product instead of solving for n. Choice C (18) comes from doubling the correct answer instead of dividing correctly. Question 11
Which number completes the equation: 20÷?=4?
- 6
- 5 (correct answer)
- 4
- 24
Explanation: 5 is correct because 20 divided by 5 equals 4. 6 is incorrect because 20 divided by 6 does not equal 4. 4 is incorrect because it repeats a number already in the equation instead of solving for the unknown. 24 is incorrect because it does not match the given equation.
Question 12
Which number completes the equation 42÷6=□?
- 7 (correct answer)
- 8
- 6
- 36
Explanation: Since 42÷6=7, the missing number is 7. Choice B (8) is off by one from the correct answer. Choice C (6) repeats the divisor instead of finding the quotient. Choice D (36) comes from subtracting 6 from 42 instead of dividing. Question 13
What is 30÷5?
- 5
- 6 (correct answer)
- 35
- 7
Explanation: 30 divided by 5 equals 6, so B is correct. Choice A (5) repeats a number from the problem instead of solving for the quotient. Choice C (35) adds the numbers instead of dividing. Choice D (7) is one more than the correct quotient.
Question 14
Look at this pattern: 3×4=12, 3×5=15, 3×6=18. What is the next equation in the pattern?
- 3×8=24
- 3×9=27
- 4×7=28
- 3×7=21 (correct answer)
Explanation: The pattern increases the second factor by 1 each time: 4, 5, 6, so the next equation uses 7, giving 3 times 7, which equals 21, so D is correct. Choice A skips ahead to 8 instead of 7. Choice B skips ahead to 9 instead of 7. Choice C changes the first factor from 3 to 4, which breaks the pattern.
Question 15
Emma has 24 stickers. She plans to share them equally among 4 friends, so each friend would get 6 stickers. But then 2 more friends join, making 6 friends total. If Emma shares all 24 stickers equally among the 6 friends, how many stickers will each friend get?
- 3 stickers each
- 4 stickers each (correct answer)
- 6 stickers each
- 2 stickers each
Explanation: With 6 friends now sharing 24 stickers equally, 24 divided by 6 gives 4 stickers each. Choice C is the amount each friend would have gotten before the 2 new friends joined. Choice A and Choice D come from division errors.
Question 16
Which number completes the equation 5×?=30?
- 7
- 6 (correct answer)
- 5
- 35
Explanation: Since 5×6=30, the missing number is 6. Choice A (7) is off by one from the correct answer. Choice C (5) repeats the known factor instead of solving for the missing one. Choice D (35) is the sum of 5 and 30, not the missing factor. Question 17
Solve: 56÷7=? What is ?
- 49
- 7
- 8 (correct answer)
- 9
Explanation: Since 7 x 8 = 56, the answer to 56 divided by 7 is 8, making Choice C correct. Choice B (7) repeats the known factor instead of solving for the unknown one. Choice D (9) is close to the correct value but does not satisfy the division. Choice A (49) comes from squaring 7 instead of dividing 56 by 7.
Question 18
A teacher arranges 48 students into 6 equal groups for a project. How many students are in each group?
- 8 students (correct answer)
- 6 students
- 42 students
- 288 students
Explanation: Dividing 48 students into 6 equal groups gives 48 divided by 6, which is 8 students per group. Choice B, 6 students, is the number of groups, not the number of students in each group. Choice C, 42 students, comes from subtracting 6 from 48 instead of dividing. Choice D, 288 students, comes from multiplying 48 by 6 instead of dividing.
Question 19
Find the unknown number: 7×□=56.
- 49
- 7
- 8 (correct answer)
- 9
Explanation: Since 7 times 8 equals 56, the unknown number is 8. Choice A, 49, comes from multiplying 7 by 7 instead of finding the missing factor. Choice B, 7, is the given factor itself, not the unknown. Choice D, 9, is close to the answer but does not make the equation true.
Question 20
What number replaces □ in 72÷□=8?
- 9 (correct answer)
- 8
- 10
- 72
Explanation: 9 is correct because 72÷9=8. 8 is incorrect; it's the quotient given in the equation, not the missing divisor. 10 is incorrect because dividing 72 by 10 doesn't equal 8. 72 is incorrect; it's the dividend itself, not the missing number.