IAR Test 3rd Grade Math #1 — Questions and Answers
Question 1: Which two kitchen task take a total of exactly one and a half hours?
- Cake and Steamed Tuna (Correct answer)
- Pizza and Barbecue
- Steamed Tuna and Barbecue
- Pizza and Cake
Correct answer: Cake and Steamed Tuna
This question requires specific task durations, which are not provided in the prompt. Assuming there is an accompanying list of kitchen tasks and their times, the correct answer 'Cake and Steamed Tuna' implies that the sum of their individual durations equals exactly one and a half hours (90 minutes). For example, if 'Cake' takes 1 hour and 'Steamed Tuna' takes 0.5 hours, their combined time is 1.5 hours.
Question 2: Which of the following is the same as the expression below? <br> 7 × 4 </br>
- (3x4) + 4
- (3÷4) x 4
- (3+4) x 4 (Correct answer)
- (3+4) + 4
Correct answer: (3+4) x 4
The expression 7 × 4 can be rewritten by breaking down the number 7 into a sum. Since 7 is equivalent to (3 + 4), substituting this into the original expression yields (3 + 4) × 4. This demonstrates the distributive property of multiplication over addition, where the sum is then multiplied by the other factor.
Question 3: What is the total number of dresses sold in five days?
- 33
- 47 (Correct answer)
- 29
- 43
Correct answer: 47
This question requires data from a missing chart or table showing daily dress sales over five days. To find the total number of dresses sold, one would sum the individual sales figures for each of the five days. The correct answer of 47 indicates that the sum of the daily sales from the implied data equals 47.
Question 4: Jake bought an electronic gadget worth $460. <br> What is 460 rounded to the nearest hundred?</br>
- 600
- 500 (Correct answer)
- 400
- 300
Correct answer: 500
To round 460 to the nearest hundred, you need to look at the tens digit. The tens digit in 460 is 6. Since 6 is 5 or greater, you round up the hundreds digit. Therefore, 460 rounded to the nearest hundred becomes 500.
Question 5: Which of the following equations is a pair of related facts?
- 64 ÷ n = 8 and 64 + 8 = n
- 64 ÷ 8 = n and 8 × n = 64 (Correct answer)
- n ÷ 4 = 32 and 32 – n = 4
- 4 ÷ 32 = n and n × 4 = 32
Correct answer: 64 ÷ 8 = n and 8 × n = 64
Related facts, also known as a fact family, are a set of mathematical equations that use the same numbers but different operations, demonstrating their inverse relationship. The equations 64 ÷ 8 = n and 8 × n = 64 are related because they both involve the numbers 64, 8, and n, illustrating that division and multiplication are inverse operations. If 64 divided by 8 equals n, then 8 multiplied by n must equal 64.
Question 6: Which of these equations is true when q = 4 ?
- 20 × q = 4
- 12 ÷ q = 6
- 28 ÷ q = 4
- 9 × q = 36 (Correct answer)
Correct answer: 9 × q = 36
To determine which equation is true when q = 4, you must substitute the value 4 for 'q' in each option. For option D, the equation 9 × q = 36 becomes 9 × 4 = 36. Since 9 multiplied by 4 indeed equals 36, this equation is true.
Question 7: Which of these sentences is the most similar to the expression in the box below?
- The kitchen has 25 plates of food, and 5 plates were added with desserts.
- The kitchen has 25 plates of food, which were distributed evenly across 5 tables. (Correct answer)
- The kitchen has 25 plates of food, and each plates contains 5 kinds of meals.
- The kitchen has 25 plates of food, and 5 more plates were added for upcoming visitors.
Correct answer: The kitchen has 25 plates of food, which were distributed evenly across 5 tables.
This question is missing the expression in the box. Assuming the expression is '25 ÷ 5', the sentence 'The kitchen has 25 plates of food, which were distributed evenly across 5 tables' accurately represents the operation of division. Distributing a total quantity evenly into groups is the core concept of division.
Question 8: The 20 children who attended the Holiday party were classified into 4 groups to play the game. Which equation can be used to calculate the total number of children in each group?
- 20 - 4
- 20 + 4
- 20 x 4
- 20 ÷ 4 (Correct answer)
Correct answer: 20 ÷ 4
When a total number of items (20 children) is divided or classified into an equal number of groups (4 groups), the mathematical operation used to find the quantity in each group is division. Therefore, the equation 20 ÷ 4 correctly calculates the number of children in each group.
Question 9: What is the missing number in the number phrase below that makes it true?
- 98
- 115
- 102 (Correct answer)
- 251
Correct answer: 102
This question is missing the number phrase or equation. Assuming the phrase is an equation that results in 102, for example, if the equation was 'X - 15 = 87', then solving for X would give X = 87 + 15 = 102. The missing number is found by performing the inverse operation to balance the equation.
IAR Test 3rd Grade Math #1
Which two kitchen task take a total of exactly one and a half hours?