GCSE Hardest Trivia Questions Quiz! Math Practice Test

1. Who won the race?

Alan

Ben

Carl

I don't know

Based on the given options, Ben is the only person mentioned as a possible winner of the race. Therefore, it can be inferred that Ben won the race.

Explanation

Based on the given options, Ben is the only person mentioned as a possible winner of the race. Therefore, it can be inferred that Ben won the race.

2. Select the inequality shown by the diagram.

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Explanation

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3. The graph y = a + bx - x² is shown.What are the solutions of a + bx - x² = 0

-2 and 6

2 and -6

2 and 6

-2 and -6

The solutions of the equation a + bx - x^2 = 0 are -2 and 6. This can be determined by finding the x-values where the graph of the equation intersects the x-axis. In this case, the graph intersects the x-axis at x = -2 and x = 6, which are the solutions to the equation.

Explanation

The solutions of the equation a + bx - x^2 = 0 are -2 and 6. This can be determined by finding the x-values where the graph of the equation intersects the x-axis. In this case, the graph intersects the x-axis at x = -2 and x = 6, which are the solutions to the equation.

4. Describe the correlation:

Strong positive

Weak positive

Weak negative

Strong negative

A strong positive correlation indicates that there is a strong direct relationship between the two variables being studied. This means that as one variable increases, the other variable also increases consistently. The relationship between the variables is strong and positive, indicating a high degree of correlation between them.

Explanation

A strong positive correlation indicates that there is a strong direct relationship between the two variables being studied. This means that as one variable increases, the other variable also increases consistently. The relationship between the variables is strong and positive, indicating a high degree of correlation between them.

5. Select the SMALLEST number

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Explanation

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6. The angles of a quadrilateral are 140^o , 80^o , 60^o , 80^oWhat type of quadrilateral could it be?

Kite

Parallelogram

Rhombus

Trapezium

A kite is a type of quadrilateral that has two pairs of adjacent sides that are congruent. In this case, the given angles of 140o, 80o, 60o, and 80o do not satisfy the conditions for any of the other types of quadrilaterals listed, such as parallelogram, rhombus, or trapezium. Therefore, the correct answer is kite.

Explanation

A kite is a type of quadrilateral that has two pairs of adjacent sides that are congruent. In this case, the given angles of 140o, 80o, 60o, and 80o do not satisfy the conditions for any of the other types of quadrilaterals listed, such as parallelogram, rhombus, or trapezium. Therefore, the correct answer is kite.

7. Work out the next term of this quadratic sequence4 12 24 40 _____

64

80

60

48

The given sequence is a quadratic sequence where each term is obtained by adding the next odd number to the previous term. Starting with 4, we add 8 to get 12, then add 12 to get 24, and so on. The pattern continues by adding 16 to the previous term. Therefore, to find the next term, we add 16 to 40, resulting in 56. However, this answer is not provided as an option. The closest option is 60, which is obtained by adding 20 to 40. Although it does not follow the exact pattern, it is the closest option based on the given sequence.

Explanation

The given sequence is a quadratic sequence where each term is obtained by adding the next odd number to the previous term. Starting with 4, we add 8 to get 12, then add 12 to get 24, and so on. The pattern continues by adding 16 to the previous term. Therefore, to find the next term, we add 16 to 40, resulting in 56. However, this answer is not provided as an option. The closest option is 60, which is obtained by adding 20 to 40. Although it does not follow the exact pattern, it is the closest option based on the given sequence.

8.

W h i c h space o f space 2 over 5 space o r space 5 over 8 space i s space t h e space c l o s e r space i n space v a l u e space t o space 1 half ?

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Explanation

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9. Here is a sequence: 40 35 30 25 20 Select the expression for the n^th term of the sequence

5n + 35

5n - 45

45 - 5n

N - 5

The given sequence starts with 40 and decreases by 5 each time. This means that the difference between each term is -5. The expression 45 - 5n represents the general formula for the nth term of the sequence, where n is the position of the term in the sequence. By substituting different values of n, we can generate the terms of the sequence: when n = 1, the term is 40; when n = 2, the term is 35; when n = 3, the term is 30; and so on. Therefore, 45 - 5n is the correct expression for the nth term of the sequence.

Explanation

The given sequence starts with 40 and decreases by 5 each time. This means that the difference between each term is -5. The expression 45 - 5n represents the general formula for the nth term of the sequence, where n is the position of the term in the sequence. By substituting different values of n, we can generate the terms of the sequence: when n = 1, the term is 40; when n = 2, the term is 35; when n = 3, the term is 30; and so on. Therefore, 45 - 5n is the correct expression for the nth term of the sequence.

10. Water is poured into a glass for 4 seconds.The graph shows the depth of the water in the glass.What is the rate of change of the depth of the water?

0.4 cm/s

1.25 cm/s

2.5 cm/s

10 cm/s

The rate of change of the depth of the water can be calculated by finding the slope of the graph. In this case, the graph shows a constant increase in depth over time. The depth increases by 10 cm over a period of 4 seconds. Therefore, the rate of change can be calculated as 10 cm / 4 s = 2.5 cm/s.

Explanation

The rate of change of the depth of the water can be calculated by finding the slope of the graph. In this case, the graph shows a constant increase in depth over time. The depth increases by 10 cm over a period of 4 seconds. Therefore, the rate of change can be calculated as 10 cm / 4 s = 2.5 cm/s.

11. Select the value of Cos(30^o)

The value of Cos(30o) is 0.866. This can be determined by using the unit circle or by using the cosine function on a calculator. In the unit circle, the cosine of an angle is equal to the x-coordinate of the point where the angle intersects the unit circle. For a 30-degree angle, the x-coordinate is 0.866.

Explanation

The value of Cos(30o) is 0.866. This can be determined by using the unit circle or by using the cosine function on a calculator. In the unit circle, the cosine of an angle is equal to the x-coordinate of the point where the angle intersects the unit circle. For a 30-degree angle, the x-coordinate is 0.866.

12. In which class interval is the median?

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Explanation

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13. Select the largest number

7.5

14. Which of these is used to work out density?

Density is calculated by dividing the mass of an object by its volume. Therefore, the correct answer would be "Mass and Volume".

Explanation

Density is calculated by dividing the mass of an object by its volume. Therefore, the correct answer would be "Mass and Volume".

15. Select the fraction equivalent to 2.375

The fraction equivalent to 2.375 is 19/8. This can be determined by converting the decimal into a fraction. Since there are three decimal places in 2.375, the denominator of the fraction will be 1000 (10 raised to the power of 3). The numerator will be the whole number part (2) multiplied by the denominator (1000), plus the decimal part (0.375) multiplied by the denominator. Simplifying this fraction gives us 19/8.

Explanation

The fraction equivalent to 2.375 is 19/8. This can be determined by converting the decimal into a fraction. Since there are three decimal places in 2.375, the denominator of the fraction will be 1000 (10 raised to the power of 3). The numerator will be the whole number part (2) multiplied by the denominator (1000), plus the decimal part (0.375) multiplied by the denominator. Simplifying this fraction gives us 19/8.

16.

A space c i r c l e space h a s space e q u a t i o n space x squared plus y squared equals 4 W h a t space i s space t h e space l e n g t h space o f space i t s space r a d i u s ?

16

8

4

2

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Explanation

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17. Which one of these is NOT a square number?

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Explanation

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18.

T h e space r a t i o space o f space x colon y space i s space 2 colon 3 S e l e c t space t h e space c o r r e c t space s t a t e m e n t.

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Explanation

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19.

x left parenthesis x plus 4 right parenthesis space identical to x squared plus 4 x F o r space h o w space m a n y space v a l u e space o f space x space i s space x left parenthesis x plus 4 right parenthesis space e q u a l space t o space x squared plus 4 x ?

0

1

2

All

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Explanation

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20. Select the equation of the x-axis

X + y = 0

X - y = 0

X = 0

Y = 0

The equation y = 0 represents the x-axis because it states that the y-coordinate is always 0, regardless of the value of x. This means that all points on the x-axis have a y-coordinate of 0.

Explanation

The equation y = 0 represents the x-axis because it states that the y-coordinate is always 0, regardless of the value of x. This means that all points on the x-axis have a y-coordinate of 0.

21. The graph y = a + bx - x² is shown.What is the value of "a"

-2

12

16

6

Based on the given graph of the equation y = a + bx - x^2, we can determine the value of "a" by finding the y-intercept. The y-intercept is the value of y when x = 0. From the graph, we can see that when x = 0, the value of y is 12. Therefore, the value of "a" is 12.

Explanation

Based on the given graph of the equation y = a + bx - x^2, we can determine the value of "a" by finding the y-intercept. The y-intercept is the value of y when x = 0. From the graph, we can see that when x = 0, the value of y is 12. Therefore, the value of "a" is 12.

22.

T h e space p r o b a b i l i t y space t h a t space a space b i a s e d space c o i n space l a n d s space o n space h e a d s space i s space 2 over 3. T h e space c o i n space i s space s p u n space t w i c e. W h a t space i s space t h e space p r o b a b i l i t y space o f space t w o space h e a d s ?

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Explanation

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