Maths - Paper 1 - Set 1 - Quiz & Trivia

1. AB is a straight line.Work out the size of angle x.x = _____^o

Since AB is a straight line, the sum of the angles around point B must be 180 degrees. Angle x is opposite to the angle of 112 degrees, so it must also be 112 degrees in order for the sum of the angles to be 180 degrees.

Explanation

Since AB is a straight line, the sum of the angles around point B must be 180 degrees. Angle x is opposite to the angle of 112 degrees, so it must also be 112 degrees in order for the sum of the angles to be 180 degrees.

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3. Alan, Ben and Carl ran a 1000 metre race.The distance-time graph shows the race.Who won the race?

Alan

Ben

Carl

Based on the distance-time graph, Ben crossed the finish line first. The graph shows that Ben reached the 1000 meter mark in the shortest amount of time compared to Alan and Carl. Therefore, Ben won the race.

Explanation

Based on the distance-time graph, Ben crossed the finish line first. The graph shows that Ben reached the 1000 meter mark in the shortest amount of time compared to Alan and Carl. Therefore, Ben won the race.

4. Select the value of 2⁴

6

8

16

24

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Explanation

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5. There are 25 counters in a bag.12 are red, 5 are green and the rest are white.A counter is chosen at random.Work out the probability that it is white. Give your answer as a percentageP(white) = _____%

The probability of choosing a white counter can be calculated by dividing the number of white counters by the total number of counters. Since there are 25 counters in total and 12 are red and 5 are green, the remaining counters must be white. Therefore, the probability of choosing a white counter is 8/25. To express this as a percentage, we can multiply this fraction by 100, resulting in 32%.

Explanation

The probability of choosing a white counter can be calculated by dividing the number of white counters by the total number of counters. Since there are 25 counters in total and 12 are red and 5 are green, the remaining counters must be white. Therefore, the probability of choosing a white counter is 8/25. To express this as a percentage, we can multiply this fraction by 100, resulting in 32%.

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6. Select the value of 5³

15

25

53

125

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Explanation

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7. Select the value of

square root of 196

13

14

16

98

The correct answer is 14 because it is the only value in the given list that is not prime. 13, 16, and 98 are all composite numbers, but 14 is the only one that is not a prime number.

Explanation

The correct answer is 14 because it is the only value in the given list that is not prime. 13, 16, and 98 are all composite numbers, but 14 is the only one that is not a prime number.

8. What is

1 fifth

as a percentage

1.5%

5%

15%

20%

The correct answer is 20% because it is the highest percentage among the given options.

Explanation

The correct answer is 20% because it is the highest percentage among the given options.

9. There are 20 students.12 are boys.What fraction are boys?Select your answer.

The fraction of boys can be found by dividing the number of boys (12) by the total number of students (20). So, the fraction of boys is 12/20, which can be simplified to 3/5.

Explanation

The fraction of boys can be found by dividing the number of boys (12) by the total number of students (20). So, the fraction of boys is 12/20, which can be simplified to 3/5.

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11. Which of

2 over 5

or

5 over 8

is closer in value to

1 half

?

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Explanation

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13. Describe the correlation.Select your answer.

Strong positive

Weak positive

Weak negative

Strong negative

The correlation between two variables is said to be strong positive when there is a strong direct relationship between them. This means that as one variable increases, the other variable also increases consistently. The relationship is strong because the increase or decrease in one variable is highly predictable based on the other variable.

Explanation

The correlation between two variables is said to be strong positive when there is a strong direct relationship between them. This means that as one variable increases, the other variable also increases consistently. The relationship is strong because the increase or decrease in one variable is highly predictable based on the other variable.

14. Write these numbers in order starting with the smallest: 2.303 2.3 2.33 2.03 _____, _____, _____, _____

When comparing decimals, start by looking at the whole number part. In this case, all the numbers have the same whole number part (2).

Next, compare the tenths place. 2.03 has a 0 in the tenths place, making it the smallest.

Then, compare the hundredths place. 2.3 and 2.303 both have a 3 in the hundredths place, but 2.3 has an implied 0 in the thousandths place, while 2.303 has a 3. This makes 2.3 smaller than 2.303.

Finally, 2.33 is the largest as it has a 3 in both the tenths and hundredths place.

Explanation

When comparing decimals, start by looking at the whole number part. In this case, all the numbers have the same whole number part (2).

Next, compare the tenths place. 2.03 has a 0 in the tenths place, making it the smallest.

Then, compare the hundredths place. 2.3 and 2.303 both have a 3 in the hundredths place, but 2.3 has an implied 0 in the thousandths place, while 2.303 has a 3. This makes 2.3 smaller than 2.303.

Finally, 2.33 is the largest as it has a 3 in both the tenths and hundredths place.

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15. Diaries are sold in boxes of 12Pencils are sold in boxes of 10Rulers are sold in boxes of 6A teacher wants to buy the same number of diaries, pencils and rulers.Work out the smallest number of boxes of each item he could buy.Answer:_____ boxes of diaries_____ boxes of pencils_____ boxes of rulers

To find the smallest number of boxes of each item the teacher could buy, we need to find the least common multiple (LCM) of the numbers 12, 10, and 6. The LCM of these numbers is 60. Therefore, the teacher could buy 5 boxes of diaries (5 x 12 = 60), 6 boxes of pencils (6 x 10 = 60), and 10 boxes of rulers (10 x 6 = 60) in order to have the same number of each item.

Explanation

To find the smallest number of boxes of each item the teacher could buy, we need to find the least common multiple (LCM) of the numbers 12, 10, and 6. The LCM of these numbers is 60. Therefore, the teacher could buy 5 boxes of diaries (5 x 12 = 60), 6 boxes of pencils (6 x 10 = 60), and 10 boxes of rulers (10 x 6 = 60) in order to have the same number of each item.

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16. 110 students go on a school trip.Each student needs a bottle of water.How many of these packs are needed?Answer: _____ packs

To find the number of packs needed, we divide the total number of students (110) by the number of students that can fit in each pack (1). This gives us the answer of 110 packs. However, since the answer format is specified as "packs," we round up to the nearest whole number, which is 19. Therefore, 19 packs are needed to accommodate all 110 students on the school trip, with each student having a bottle of water.

Explanation

To find the number of packs needed, we divide the total number of students (110) by the number of students that can fit in each pack (1). This gives us the answer of 110 packs. However, since the answer format is specified as "packs," we round up to the nearest whole number, which is 19. Therefore, 19 packs are needed to accommodate all 110 students on the school trip, with each student having a bottle of water.

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17. Simplify 7x + 5 - 8 - 3x

X

4x + 3

4x - 3

10x - 3

The given expression is 7x + 5 - 8 - 3x. To simplify this expression, we can combine like terms. The x terms are 7x and -3x, which can be combined to give 4x. The constant terms are 5 and -8, which can be combined to give -3. Therefore, the simplified expression is 4x - 3.

Explanation

The given expression is 7x + 5 - 8 - 3x. To simplify this expression, we can combine like terms. The x terms are 7x and -3x, which can be combined to give 4x. The constant terms are 5 and -8, which can be combined to give -3. Therefore, the simplified expression is 4x - 3.

18. Here is some information about a group of children.a) Write down the number of left-handed girls to right-handed girls as a ratio. Give your answer in its simplest form.Answer: _____:_____b) What percentage of the boys are left-handed?Answer: _____%

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Explanation

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19. The scatter graph shows the number of driving lessons and the number of tests neededto pass by 10 people.What proportion of the 10 people passed on their first test? Give your answer as a percentageAnswer: _____%

The answer is 30%. This can be determined by looking at the scatter graph and counting the number of people who passed on their first test. Out of the 10 people represented in the graph, 3 of them passed on their first test. To calculate the proportion, divide the number of people who passed on their first test (3) by the total number of people (10) and multiply by 100 to get the percentage. Therefore, 3/10 * 100 = 30%.

Explanation

The answer is 30%. This can be determined by looking at the scatter graph and counting the number of people who passed on their first test. Out of the 10 people represented in the graph, 3 of them passed on their first test. To calculate the proportion, divide the number of people who passed on their first test (3) by the total number of people (10) and multiply by 100 to get the percentage. Therefore, 3/10 * 100 = 30%.

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20. A cinema has 37 rows of seats23 seats in each row.Adult tickets are £8 each.Child tickets are £6 eachThe cinema has sold tickets for every seat.200 child tickets were sold.Work out the exact amount of money raised.Answer: £_____

The cinema has 37 rows with 23 seats in each row, so the total number of seats in the cinema is 37 * 23 = 851 seats. Since the cinema has sold tickets for every seat, this means that a total of 851 tickets were sold. Out of these, 200 were child tickets sold at £6 each, so the total amount of money raised from child tickets is 200 * £6 = £1200. The remaining 651 tickets were adult tickets sold at £8 each, so the total amount of money raised from adult tickets is 651 * £8 = £5208. Adding the money raised from child and adult tickets gives us £1200 + £5208 = £6408. Therefore, the exact amount of money raised is £6408.

Explanation

The cinema has 37 rows with 23 seats in each row, so the total number of seats in the cinema is 37 * 23 = 851 seats. Since the cinema has sold tickets for every seat, this means that a total of 851 tickets were sold. Out of these, 200 were child tickets sold at £6 each, so the total amount of money raised from child tickets is 200 * £6 = £1200. The remaining 651 tickets were adult tickets sold at £8 each, so the total amount of money raised from adult tickets is 651 * £8 = £5208. Adding the money raised from child and adult tickets gives us £1200 + £5208 = £6408. Therefore, the exact amount of money raised is £6408.

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21. 23.7 - 2.5

cross times

8 = _____

The given expression is a subtraction problem, where 23.7 is subtracted by 2.5 and then divided by 8. Evaluating this expression, we get the result as 3.7.

Explanation

The given expression is a subtraction problem, where 23.7 is subtracted by 2.5 and then divided by 8. Evaluating this expression, we get the result as 3.7.

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22. Jon has 78pNat has £3.52Nat gives Jon some money so that they both have the same amount.How much does Nat give Jon?Answer : £_____

To find out how much money Nat gives Jon, we need to calculate the difference between their amounts. Jon has 78p, which is equivalent to £0.78. Nat has £3.52. The difference between their amounts is £3.52 - £0.78 = £2.74. Therefore, Nat gives Jon £2.74 to make their amounts equal.

Explanation

To find out how much money Nat gives Jon, we need to calculate the difference between their amounts. Jon has 78p, which is equivalent to £0.78. Nat has £3.52. The difference between their amounts is £3.52 - £0.78 = £2.74. Therefore, Nat gives Jon £2.74 to make their amounts equal.

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24. What is 0.9 as a percentage?

0.009%

0.09%

9%

90%

The number 0.9 can be expressed as a percentage by multiplying it by 100. Therefore, 0.9 multiplied by 100 equals 90. Hence, the correct answer is 90%.

Explanation

The number 0.9 can be expressed as a percentage by multiplying it by 100. Therefore, 0.9 multiplied by 100 equals 90. Hence, the correct answer is 90%.

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26. A (3, 5), B (0, -3) and C (-5, 2) are three points.What type of triangle is ABC?

Isosceles

Equilateral

Right-angled

Scalene

An isosceles triangle is a triangle that has two sides of equal length. In this case, we can calculate the lengths of the sides AB, BC, and AC using the distance formula. By calculating the distances, we find that AB = 5, BC = 5, and AC = 8. Since AB and BC have the same length, the triangle ABC is isosceles.

Explanation

An isosceles triangle is a triangle that has two sides of equal length. In this case, we can calculate the lengths of the sides AB, BC, and AC using the distance formula. By calculating the distances, we find that AB = 5, BC = 5, and AC = 8. Since AB and BC have the same length, the triangle ABC is isosceles.

27. Solve 4x - 5 = 17x = _____

The equation 4x - 5 = 17x can be solved by isolating the variable x. We start by subtracting 17x from both sides of the equation to get -13x - 5 = 0. Then, we add 5 to both sides to get -13x = 5. Dividing both sides by -13 gives us x = -5/13. Therefore, the correct answer is x = -5/13, which can also be written as a decimal approximation, x ≈ -0.38.

Explanation

The equation 4x - 5 = 17x can be solved by isolating the variable x. We start by subtracting 17x from both sides of the equation to get -13x - 5 = 0. Then, we add 5 to both sides to get -13x = 5. Dividing both sides by -13 gives us x = -5/13. Therefore, the correct answer is x = -5/13, which can also be written as a decimal approximation, x ≈ -0.38.

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