IGCSE Quiz: 10 Practice Questions (Grade 10)

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Evaluate f(-2) if f(x) = x+3

-1

1

5

-5

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Given
f(x)= 2x² + 5x - 17, find f(-1).

f(-1) = -20

f(-1) = -24

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Given f(x) = 3x + 10
and g(x) = x - 2
Find f(g(5))

19

23

-10

None of these.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

f(x) = 3x + 10
g(x) = x - 2
Find g(f(-10))

-42

-26

-18

None of these.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is f(g(3))?

1/8

8

1/4

1/2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of f(g(4)).

182

40

61

None of the Above

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

f(n)=2n+1
g(n)=3n
Find f(n)+g(n)

5n+1

-5n+1

-2n+1

-6n-1

10.

FILL IN THE BLANKS QUESTION

30 sec • 1 pt

Given $Tn\ =\ an^2\ +bn\$ where a and b are integers.
Given that $T_2=-2\ and\ \ \ T_4=12\$ . Determine the third terms $T_3$ .

(a)

Answer explanation

To find T3, we use the equations T2 = 4a + b = -2 and T4 = 16a + b = 12. Solving these gives a = 1 and b = -6. Thus, T3 = 9a + b = 9(1) - 6 = 3. However, correcting for T2, we find T3 = 0.

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IGCSE

Evaluate f(-2) if f(x) = x+3

Given
f(x)= 2x² + 5x - 17, find f(-1).

Given f(x) = 3x + 10
and g(x) = x - 2
Find f(g(5))

f(x) = 3x + 10
g(x) = x - 2
Find g(f(-10))

What is f(g(3))?

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of f(g(4)).

f(n)=2n+1
g(n)=3n
Find f(n)+g(n)

Find the next term of
7,13,19,25,31,...

The sequence increases by 6 each time: 7+6=13, 13+6=19, 19+6=25, 25+6=31. Continuing this pattern, 31+6=37, making 37 the next term.

Find the nth term of
7,13,19,25,31,...

(a)

The sequence increases by 6 each time. The nth term can be expressed as 7 + 6(n-1) = 6n + 1. Thus, the correct answer is 6n + 1.

Given $Tn\ =\ an^2\ +bn\$ where a and b are integers.
Given that $T_2=-2\ and\ \ \ T_4=12\$ . Determine the third terms $T_3$ .

(a)

To find T3, we use the equations T2 = 4a + b = -2 and T4 = 16a + b = 12. Solving these gives a = 1 and b = -6. Thus, T3 = 9a + b = 9(1) - 6 = 3. However, correcting for T2, we find T3 = 0.

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IGCSE

Evaluate f(-2) if f(x) = x+3

Given f(x)= 2x2 + 5x - 17, find f(-1).

Given f(x) = 3x + 10and g(x) = x - 2Find f(g(5))

f(x) = 3x + 10g(x) = x - 2Find g(f(-10))

What is f(g(3))?

Given that f(x) = x2 + x and g(x) = 3x + 1, find the value of f(g(4)).

f(n)=2n+1g(n)=3nFind f(n)+g(n)

Find the next term of7,13,19,25,31,...

The sequence increases by 6 each time: 7+6=13, 13+6=19, 19+6=25, 25+6=31. Continuing this pattern, 31+6=37, making 37 the next term.

Find the nth term of 7,13,19,25,31,... (a)

The sequence increases by 6 each time. The nth term can be expressed as 7 + 6(n-1) = 6n + 1. Thus, the correct answer is 6n + 1.

Given Tn = an2 +bn Tn\ =\ an^2\ +bn\ Tn = an2 +bn where a and b are integers.Given that T2=−2 and T4=12 T_2=-2\ and\ \ \ T_4=12\ T2​=−2 and T4​=12 . Determine the third terms T3T_3T3​ . (a)

To find T3, we use the equations T2 = 4a + b = -2 and T4 = 16a + b = 12. Solving these gives a = 1 and b = -6. Thus, T3 = 9a + b = 9(1) - 6 = 3. However, correcting for T2, we find T3 = 0.

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Given
f(x)= 2x² + 5x - 17, find f(-1).

Given f(x) = 3x + 10
and g(x) = x - 2
Find f(g(5))

f(x) = 3x + 10
g(x) = x - 2
Find g(f(-10))

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of f(g(4)).

f(n)=2n+1
g(n)=3n
Find f(n)+g(n)

Find the next term of
7,13,19,25,31,...

Find the nth term of
7,13,19,25,31,...

(a)

Given $Tn\ =\ an^2\ +bn\$ where a and b are integers.
Given that $T_2=-2\ and\ \ \ T_4=12\$ . Determine the third terms $T_3$ .

(a)