Free ISASP Mathematics Questions and Answers ā Questions and Answers
Question 1: A carton holds a dozen eggs. How many eggs does the carton contain if it is one-third full?
- 3
- 4 (Correct answer)
- 6
- 9
Correct answer: 4
Explanation: <br> If the carton is 1/3 full of eggs and it holds a dozen eggs, it means there are 1/3 of 12 eggs in the carton. 1/3 x 12 = 4. So, there are 4 eggs in the carton.
Question 2: What is the weight of the birdseed to the nearest tenth of a gram if Mark purchased 253.64 grams of birdseed.?
- 253.6 (Correct answer)
- 253.8
- 254
- 253
Correct answer: 253.6
Explanation: <br> To round 253.64 grams to the nearest tenth, we look at the digit in the hundredth place, which is 4. Since 4 is less than 5, we keep the digit in the tenth place the same. So, the weight rounded to the nearest tenth of a gram is 253.6 grams.
Question 3: Which shapes have four right angles at all times?
- Quadrilateral and parallelogram
- Quadrilateral and rectangle
- Square and parallelogram
- Square and rectangle (Correct answer)
Correct answer: Square and rectangle
Explanation: <br> Both squares and rectangles always have four right angles. A square is a special type of rectangle where all sides are equal, but both shapes have four right angles regardless of their side lengths.
Question 4: Which expression below has 5 times the sum of 38 and 76?
- 5 Ć (38 + 76) (Correct answer)
- 5 + (38 + 76)
- 5 + 38 + 76
- 5 Ć 38 + 76
Correct answer: 5 Ć (38 + 76)
Explanation: <br> This expression represents "5 times the sum of 38 and 76." First, you add 38 and 76, which equals 114. Then, you multiply that sum by 5, giving you a value that is 5 times the sum of 38 and 76.
Question 5: Tom wrote two numerical lists. In the first, every number from 4 to 40 was a multiple of 4. In the second, every number from 5 to 40 was a multiple of 5. How many of the same numbers are in both lists?
- 1
- 2 (Correct answer)
- 3
- None of the above.
Correct answer: 2
Explanation: <br> The multiples of 4 from 4 to 40 are: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40. <br> The multiples of 5 from 5 to 40 are: 5, 10, 15, 20, 25, 30, 35, 40. <br><br> The numbers common to both lists are 20 and 40. So, there are 2 same numbers in both lists.
Question 6: What number is equal to (7 Ć 3) + 4 Ć (1 + 8) ?
- 43
- 53
- 57 (Correct answer)
- 67
Correct answer: 57
Explanation: <br> To solve the expression, follow the order of operations: parentheses first, then multiplication, and finally addition: <br><br> (7 Ć 3) + 4 Ć (1 + 8) = (21) + 4 Ć (9) = 21 + (36) = 21 + 36 = 57
Question 7: The flour storage canister has dimensions of 8 inches by 6 inches by 8.5 inches, forming a right rectangular prism. The volume of a cup of flour is 14.4 cubic inches. Which number most closely corresponds to the canister's capacity in cups of flour?
- 10
- 17
- 28 (Correct answer)
- 38
Correct answer: 28
Explanation: <br> To find the volume of the canister, we multiply its dimensions: <br><br> Volume = Length Ć Width Ć Height <br> = 8 inches Ć 6 inches Ć 8.5 inches <br> = 408 cubic inches <br><br> Now, to find the number of cups of flour the canister can hold, we divide the volume of the canister by the volume of one cup of flour: <br><br> Number of cups of flour = Volume of canister / Volume of one cup of flour <br> ā 408 cubic inches / 14.4 cubic inches <br> ā 28.33 <br><br> Since we are asked to find the value closest to the number of cups, we choose option B, which is 28.
Question 8: Jessica measured the weight of the things she packed in her travel bag. The empty bag weighed 5 pounds, her clothes 17.67 pounds, and her shoes 12.3 pounds. How much did the packed bag weigh in total, in pounds?
- 18.95 pounds
- 24.97 pounds
- 34.97 pounds (Correct answer)
- 189.5 pounds
Correct answer: 34.97 pounds
Explanation: <br> To find the total weight of the packed bag, you need to add the weight of her clothes, shoes, and the empty bag. <br><br> Total weight = Weight of clothes + Weight of shoes + Weight of empty bag <br> = 17.67 pounds + 12.3 pounds + 5 pounds <br> = 34.97 pounds
Question 9: Five-pound bags of oranges cost $3.00 a piece from a fruit stand. Every bag contains fifteen oranges. How much does an orange cost?
- $0.15
- $0.20 (Correct answer)
- $0.25
- $0.50
Correct answer: $0.20
Explanation: <br> To find the price per orange, you divide the total price of the bag of oranges by the number of oranges in the bag. <br><br> Total price of the bag = $3.00 <br> Number of oranges in the bag = 15 <br><br> Price per orange = Total price of the bag / Number of oranges in the bag <br> = $3.00 / 15 <br> = $0.20 <br>
Question 10: In a year, ABC Apparel sold 19,824 T-shirts. What is the monthly average of T-shirt sales for the company?
- 565
- 644
- 1,569
- 1,652 (Correct answer)
Correct answer: 1,652
Explanation: <br> To find the average number of T-shirts sold per month, divide the total number of T-shirts sold (19,824) by the number of months (12).
Question 11: The ages of the Smith family members are listed in the list below. What age range do they fall into? <br><br> 3, 5, 9, 13, 37, 40
- 37 (Correct answer)
- 27
- 10
- 12
Correct answer: 37
Explanation: <br> The range of ages is found by subtracting the smallest age from the largest age. <br> In this case, the smallest age is 3, and the largest age is 40. <br><br> So, the range = 40 - 3 = 37.
A carton holds a dozen eggs.
How many eggs does the carton contain if it is one-third full?