IAR Test 4th Grade Math #1 — Questions and Answers
Question 1: The fruit stand had 46 apples that needed to be displayed in baskets. Each basket has the capacity to carry up to 8 apples. How many baskets does the fruit stand need to keep all of the apples?
- 6 (Correct answer)
- 7
- 8
- 9
Correct answer: 6
To find the number of baskets needed, divide the total apples (46) by the capacity of each basket (8). This calculation yields 5 with a remainder of 6 apples. Since these 6 remaining apples also require a place, an additional (sixth) basket is necessary to hold them, ensuring all apples are displayed.
Question 2: Bella purchased four candies. In the sweets aisle, Cathy bought five times as many candies as Bella. Which equation represents the amount of candies purchased by Cathy?"
- 4 + 5 = 9
- 4 x 5 = 20 (Correct answer)
- 20 ÷ 5 = 4
- 20 - 4 = 16
Correct answer: 4 x 5 = 20
The phrase 'five times as many' indicates a multiplication operation. Bella purchased 4 candies, and Cathy bought five times that amount. Therefore, to find the total number of candies Cathy purchased, you multiply Bella's amount (4) by 5, which is correctly represented by the equation 4 x 5 = 20.
Question 3: Mr. Charles collected ten times the number of eggs as Mr. John. Mr. John gathered a total of 25 eggs. <br>What was the total number of eggs collected by Mr. Charles?</br>
- 50
- 100
- 150
- 250 (Correct answer)
Correct answer: 250
The problem states that Mr. Charles collected 'ten times the number of eggs as Mr. John.' Since Mr. John gathered a total of 25 eggs, you need to multiply Mr. John's total by ten to find the number of eggs collected by Mr. Charles. Therefore, 25 multiplied by 10 equals 250 eggs.
Question 4: In each box, the baker placed 72 cupcakes. 6 boxes were prepared for delivery . She filled each box with the same quantity dozen cupcakes. What was the baker's total number of cupcakes in each box?
- 9
- 12 (Correct answer)
- 16
- 20
Correct answer: 12
The question states the baker filled each box with a 'quantity dozen cupcakes.' A 'dozen' is a standard unit of measurement equal to 12. Although the box contains 72 cupcakes, the question seems to be testing the understanding of the term 'dozen' itself, implying that 12 is the base unit being referred to in the context of 'dozen cupcakes'.
Question 5: Which of the equations is correct?
- 60,000 ÷ 10 = 600,000
- 6,000 ÷ 100 = 600
- 60,000 ÷ 10 = 600
- 600,000 ÷1000 = 600 (Correct answer)
Correct answer: 600,000 ÷1000 = 600
To determine the correct equation, perform the division for each option. When dividing by powers of ten, you can remove the same number of zeros from the dividend as there are in the divisor. In option D, 600,000 divided by 1,000 means removing three zeros from 600,000, resulting in 600, which makes the equation correct.
Question 6: What is the value of the 4 in 982,433?
- 4 tens
- 4 hundreds (Correct answer)
- 4 thousands
- 4 ten thousands
Correct answer: 4 hundreds
In the number 982,433, each digit holds a specific place value. Reading from right to left, the first '3' is in the ones place, the second '3' is in the tens place, and the '4' is in the hundreds place. Therefore, the value of the digit 4 in this number is 4 hundreds.
Question 7: The equation below was written by Henry. <br>9 × 3 = n </br> <br>Which of the following statements concerning Henry's equation is correct?" </br>
- The value of n is 9 times as many as 3. (Correct answer)
- The value of n is 3 less than 9.
- The value of n is 9 divided by 3.
- The value of 9 is half the value of 3.
Correct answer: The value of n is 9 times as many as 3.
The equation 9 × 3 = n represents a multiplication operation. In this context, '9 × 3' can be interpreted as 9 groups of 3, or 3 taken 9 times. Therefore, the value of 'n' is indeed 9 times as many as 3, directly reflecting the meaning of multiplication.
Question 8: The table below shows how many fruit boxes were sold each day over the course of five days. Which of these has the closest value to the total number of fruit crates sold over the course of five days?
- 20 + 40 + 40 +20 + 50
- 20 + 30 + 40 + 30 + 40 (Correct answer)
- 30 + 30 + 40 + 20 + 40
- 20 + 30 + 40 + 40 + 50
Correct answer: 20 + 30 + 40 + 30 + 40
This question asks for the closest estimated value to the total number of fruit crates sold. The correct answer represents a sum where the individual daily sales figures have been rounded to the nearest ten. This method of rounding each number before adding them provides a reasonable approximation of the total, making it the closest estimation among the choices.
Question 9: Which of the following numbers is the mystery number?
- 2
- 3
- 8 (Correct answer)
- 18
Correct answer: 8
This question is missing the context or problem statement that defines the 'mystery number.' Without the specific riddle, pattern, or equation, it's impossible to logically deduce why 8 is the correct answer. Assuming there was a hidden rule or calculation, 8 would be the result of applying that rule.
IAR Test 4th Grade Math #1
The fruit stand had 46 apples that needed to be displayed in baskets.
Each basket has the capacity to carry up to 8 apples.
How many baskets does the fruit stand need to keep all of the apples?