Maths General Knowledge Questions With Answers

1. If Kara earns $80 in 8 hours, how many hours will it take her to earn $500?

40 Hours

500 Hours

50 Hours

250 Hours

To solve this, we need to find Kara's hourly rate by dividing her earnings by the number of hours:

$80 ÷ 8 hours = $10 per hour.

Now, to find how many hours it will take her to earn $500, divide $500 by her hourly rate:

$500 ÷ $10 = 50 hours.

Therefore, it will take Kara 50 hours to earn $500.

Explanation

To solve this, we need to find Kara's hourly rate by dividing her earnings by the number of hours:

$80 ÷ 8 hours = $10 per hour.

Now, to find how many hours it will take her to earn $500, divide $500 by her hourly rate:

$500 ÷ $10 = 50 hours.

Therefore, it will take Kara 50 hours to earn $500.

2. If a 26.2 mile run is divided into 6 equal parts, how long is each part?

4

2.63

5.4

4.37

If a 26.2-mile run is divided into 6 equal parts, you can find the length of each part by dividing the total distance by the number of parts:

26.2 miles ÷ 6 parts = 4.3667 miles per part (rounded to four decimal places)

So, each part is approximately 4.3667 miles long.

Explanation

If a 26.2-mile run is divided into 6 equal parts, you can find the length of each part by dividing the total distance by the number of parts:

26.2 miles ÷ 6 parts = 4.3667 miles per part (rounded to four decimal places)

So, each part is approximately 4.3667 miles long.

3. How many 200 ml glasses can be filled with 1 liter of water?

20

5

2

50

1 liter is equivalent to 1000 milliliters.

To find how many 200 ml glasses can be filled, divide 1000 ml by 200 ml:

1000 ÷ 200 = 5 glasses.

Therefore, you can fill 5 glasses with 200 ml each using 1 liter of water.

Explanation

1 liter is equivalent to 1000 milliliters.

To find how many 200 ml glasses can be filled, divide 1000 ml by 200 ml:

1000 ÷ 200 = 5 glasses.

Therefore, you can fill 5 glasses with 200 ml each using 1 liter of water.

4. If Jace buys a stereo worth $689 by making 15% down payment, how much is the remaining amount?

500.99

585.65

103.35

473.96

First, calculate the down payment amount by multiplying the price by 15%:

$689 × 0.15 = $103.35.

Now, subtract the down payment from the total cost to find the remaining amount:

$689 - $103.35 = $585.65.

Therefore, the remaining amount Jace needs to pay is $585.65.

Explanation

First, calculate the down payment amount by multiplying the price by 15%:

$689 × 0.15 = $103.35.

Now, subtract the down payment from the total cost to find the remaining amount:

$689 - $103.35 = $585.65.

Therefore, the remaining amount Jace needs to pay is $585.65.

5. How many pieces of 4'x4' sod are needed to cover a yard that is 16'x16'?

15

10

16

24

First, calculate the area of the yard:

Area = 16 × 16 = 256 square feet.

Each piece of sod covers an area of 4 × 4 = 16 square feet.

Now, divide the total area of the yard by the area covered by each piece of sod:

256 ÷ 16 = 16 pieces of sod.

Therefore, 16 pieces of 4'x4' sod are needed to cover the yard.

Explanation

First, calculate the area of the yard:

Area = 16 × 16 = 256 square feet.

Each piece of sod covers an area of 4 × 4 = 16 square feet.

Now, divide the total area of the yard by the area covered by each piece of sod:

256 ÷ 16 = 16 pieces of sod.

Therefore, 16 pieces of 4'x4' sod are needed to cover the yard.

6. If Jan has scores of 83,76,68 and 84, how much she need in 5th test to maintain an average of 75?

82

64

55

74

To maintain an average of 75, Jan needs a total score of 75 × 5 = 375 for all 5 tests.

The sum of her current scores is 83 + 76 + 68 + 84 = 311.

Therefore, she needs 375 - 311 = 64 on her 5th test to achieve an average of 75.

Explanation

To maintain an average of 75, Jan needs a total score of 75 × 5 = 375 for all 5 tests.

The sum of her current scores is 83 + 76 + 68 + 84 = 311.

Therefore, she needs 375 - 311 = 64 on her 5th test to achieve an average of 75.

7. How fast do I have to drive to go 20 miles in 40 minutes?

20 Miles Per Hour

40 Miles Per Hour

50 Miles Per Hour

30 Miles Per Hour

To calculate the speed, divide the distance by the time.

The time is 40 minutes, which is 40/60 = 2/3 hours.

Now, divide 20 miles by 2/3 hours:

20 ÷ (2/3) = 20 × 3/2 = 30 miles per hour.

Therefore, you need to drive at 30 miles per hour to cover 20 miles in 40 minutes.

Explanation

To calculate the speed, divide the distance by the time.

The time is 40 minutes, which is 40/60 = 2/3 hours.

Now, divide 20 miles by 2/3 hours:

20 ÷ (2/3) = 20 × 3/2 = 30 miles per hour.

Therefore, you need to drive at 30 miles per hour to cover 20 miles in 40 minutes.

8. What is 8^0?

1

0

4

8

Any number raised to the power of 0 is equal to 1. Therefore, 8^0 is equal to 1.

Explanation

Any number raised to the power of 0 is equal to 1. Therefore, 8^0 is equal to 1.

9. If Pat averages 60mph for the first k hours of a 500-mile trip, what distance remains after k hours?

500 - 60k

500/60t

30,000 - t

60t - 500

Pat travels 60 miles per hour for k hours, so the distance covered in k hours is 60 × k = 60k miles.

To find the remaining distance, subtract the distance traveled from the total distance:

500 - 60k.

Therefore, the distance remaining after k hours is 500 - 60k.

Explanation

Pat travels 60 miles per hour for k hours, so the distance covered in k hours is 60 × k = 60k miles.

To find the remaining distance, subtract the distance traveled from the total distance:

500 - 60k.

Therefore, the distance remaining after k hours is 500 - 60k.

10. In probability, what do we call it when we observe an action or occurrence?

Event

Odds

Sample Space

Experiment

In probability theory, an event refers to the outcome or occurrence of interest within a particular experiment or situation. It is a specific subset of the sample space, which represents all possible outcomes of the experiment. For example, in the case of rolling a die, the event might be rolling a 4 or rolling an even number. Events are fundamental to probability because they represent the specific occurrences we are analyzing, and probability measures are assigned to events to determine the likelihood of their occurrence.

Explanation

In probability theory, an event refers to the outcome or occurrence of interest within a particular experiment or situation. It is a specific subset of the sample space, which represents all possible outcomes of the experiment. For example, in the case of rolling a die, the event might be rolling a 4 or rolling an even number. Events are fundamental to probability because they represent the specific occurrences we are analyzing, and probability measures are assigned to events to determine the likelihood of their occurrence.

11. There are 10 black and 10 brown socks in a box, how many will you pull out to guarantee a match?

10

3

11

15

In the worst-case scenario, you could pull out one black sock and one brown sock and still not have a match.

The next sock you pull out, regardless of its color, will definitely match one of the previously pulled socks.

Therefore, you will need to pull out 3 socks to guarantee a matching pair.

Explanation

In the worst-case scenario, you could pull out one black sock and one brown sock and still not have a match.

The next sock you pull out, regardless of its color, will definitely match one of the previously pulled socks.

Therefore, you will need to pull out 3 socks to guarantee a matching pair.

12. What is the number whose fifth part increased by 5 is equal to its fourth part diminished by 5?

200

400

550

20

Let the number be x.

The equation is (1/5)x + 5 = (1/4)x - 5.

To solve for x, first multiply both sides by 20 to eliminate the fractions:

4x + 100 = 5x - 100.

Now, simplify:

100 + 100 = 5x - 4x,

200 = x.

Therefore, the number is 200.

Explanation

Let the number be x.

The equation is (1/5)x + 5 = (1/4)x - 5.

To solve for x, first multiply both sides by 20 to eliminate the fractions:

4x + 100 = 5x - 100.

Now, simplify:

100 + 100 = 5x - 4x,

200 = x.

Therefore, the number is 200.

13. Bob is 6' straight ahead of Sal & Hal is 8' away straight on Sal's left, how far is Bob from Hal?

10'

14'

16'

12'

This is a right triangle problem.

Bob is 6' straight ahead of Sal and Hal is 8' to the left of Sal.

Using the Pythagorean theorem:

a² + b² = c².

6² + 8² = c²,

36 + 64 = c²,

100 = c²,

c = √100 = 10.

Therefore, Bob is 10' away from Hal.

Explanation

This is a right triangle problem.

Bob is 6' straight ahead of Sal and Hal is 8' to the left of Sal.

Using the Pythagorean theorem:

a² + b² = c².

6² + 8² = c²,

36 + 64 = c²,

100 = c²,

c = √100 = 10.

Therefore, Bob is 10' away from Hal.

14. If a drawer has 9 black and 10 white socks, what is the probability of pulling out a white sock?

9/10

10/19

10/9

19/10

The probability of pulling out a white sock is calculated by dividing the number of white socks by the total number of socks.

There are 10 white socks and a total of 9 + 10 = 19 socks.

Therefore, the probability of pulling out a white sock is 10/19.

Explanation

The probability of pulling out a white sock is calculated by dividing the number of white socks by the total number of socks.

There are 10 white socks and a total of 9 + 10 = 19 socks.

Therefore, the probability of pulling out a white sock is 10/19.

15. How many 1 cubic inch marbles are necessary to cover a 30ft x 40ft gymnasium to a depth of 2 ft?

24,000

144,000

4,147,200

80,000

To find the number of marbles needed, first calculate the volume of the gymnasium in cubic inches. Convert the dimensions to inches:

30 ft = 360 inches, 40 ft = 480 inches, and 2 ft = 24 inches.

Volume = 360 × 480 × 24 = 4,147,200 cubic inches.

Since each marble is 1 cubic inch, the number of marbles needed is 4,147,200.

Explanation

To find the number of marbles needed, first calculate the volume of the gymnasium in cubic inches. Convert the dimensions to inches:

30 ft = 360 inches, 40 ft = 480 inches, and 2 ft = 24 inches.

Volume = 360 × 480 × 24 = 4,147,200 cubic inches.

Since each marble is 1 cubic inch, the number of marbles needed is 4,147,200.

Math General Knowledge Quiz