Grade-6-Math – 3
Topic: Decimals
Grade: 6
Question 1:
What is the decimal representation of 1/4?
a) 0.1
b) 0.25
c) 0.4
d) 0.5
Answer: b) 0.25
Explanation: To convert a fraction to a decimal, divide the numerator by the denominator. In this case, 1 divided by 4 equals 0.25. For example, if you have a pizza and you eat one out of four slices, that would be equivalent to 0.25 of the pizza.
Question 2:
Which of the following decimals is equivalent to 0.75?
a) 7.5%
b) 75%
c) 0.0075
d) 0.75%
Answer: b) 75%
Explanation: To convert a decimal to a percent, move the decimal point two places to the right and add a percent sign. In this case, 0.75 becomes 75%. For example, if you have a test and you score 0.75, that would be equivalent to 75%.
Question 3:
Which decimal is greater: 0.35 or 0.359?
a) 0.35
b) 0.359
c) They are equal
Answer: b) 0.359
Explanation: When comparing decimals, start from the left and compare digit by digit. In this case, the first two digits are the same (0.3), but the third digit in 0.359 is greater than 0.35. Therefore, 0.359 is greater. For example, if you have two numbers, 0.35 and 0.359, the number with the greater value is 0.359.
Question 4:
Which decimal is equivalent to 3/8?
a) 0.375
b) 0.35
c) 0.38
d) 0.385
Answer: a) 0.375
Explanation: To convert a fraction to a decimal, divide the numerator by the denominator. In this case, 3 divided by 8 equals 0.375. For example, if you have a cake and you eat 3 out of 8 slices, that would be equivalent to 0.375 of the cake.
Question 5:
Simplify the decimal 0.45.
a) 4.5
b) 0.45
c) 45
d) 0.045
Answer: b) 0.45
Explanation: The decimal 0.45 is already in its simplest form. It represents forty-five hundredths. For example, if you have a dollar and you have 45 cents, that would be represented by the decimal 0.45.
Topic: Percents
Grade: 6
Question 6:
What is 20% of 80?
a) 16
b) 20
c) 160
d) 400
Answer: a) 16
Explanation: To find a percent of a number, multiply the number by the percent divided by 100. In this case, 20% of 80 is calculated as (20/100) * 80 = 16. For example, if you have 80 apples and you want to find 20% of them, you would multiply 80 by 20/100 to get 16.
Question 7:
What percent is 25 out of 75?
a) 33%
b) 25%
c) 75%
d) 100%
Answer: a) 33%
Explanation: To find the percentage, divide the numerator by the denominator and multiply by 100. In this case, (25/75) * 100 = 33%. For example, if you have 75 marbles and 25 of them are blue, the percentage of blue marbles would be 33%.
Question 8:
If the original price of a shirt is $40 and it is on sale for 25% off, what is the sale price?
a) $10
b) $25
c) $30
d) $35
Answer: c) $30
Explanation: To find the sale price, multiply the original price by 1 minus the percent off. In this case, $40 * (1-25/100) = $30. For example, if a shirt is originally $40 and it is on sale for 25% off, the sale price would be $30.
Question 9:
If a student answered 18 out of 20 questions correctly, what percent is that?
a) 80%
b) 90%
c) 95%
d) 100%
Answer: a) 80%
Explanation: To find the percentage, divide the number of correct answers by the total number of questions and multiply by 100. In this case, (18/20) * 100 = 90%. For example, if there are 20 questions on a test and a student answers 18 of them correctly, the percentage of correct answers would be 90%.
Question 10:
If a car originally costs $25,000 and the price increases by 15%, what is the new price?
a) $26,500
b) $28,750
c) $30,000
d) $31,250
Answer: b) $28,750
Explanation: To find the new price, multiply the original price by 1 plus the percent increase. In this case, $25,000 * (1 + 15/100) = $28,750. For example, if a car originally costs $25,000 and the price increases by 15%, the new price would be $28,750.