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Year 9 Exam  >  Year 9 Tests  >  Test: Sequences and Functions - Year 9 MCQ

Test: Sequences and Functions - Year 9 MCQ


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10 Questions MCQ Test - Test: Sequences and Functions

Test: Sequences and Functions for Year 9 2024 is part of Year 9 preparation. The Test: Sequences and Functions questions and answers have been prepared according to the Year 9 exam syllabus.The Test: Sequences and Functions MCQs are made for Year 9 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Sequences and Functions below.
Solutions of Test: Sequences and Functions questions in English are available as part of our course for Year 9 & Test: Sequences and Functions solutions in Hindi for Year 9 course. Download more important topics, notes, lectures and mock test series for Year 9 Exam by signing up for free. Attempt Test: Sequences and Functions | 10 questions in 20 minutes | Mock test for Year 9 preparation | Free important questions MCQ to study for Year 9 Exam | Download free PDF with solutions
Test: Sequences and Functions - Question 1
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What is the next number in the sequence: 2, 6, 12, 20, 30, ...?

Detailed Solution for Test: Sequences and Functions - Question 1

The sequence follows the pattern n(n+1), where n starts from 1. So, the next term is 6(6+1) = 42.

Test: Sequences and Functions - Question 2
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If f(x) = 3x + 2, what is f(4)?

Detailed Solution for Test: Sequences and Functions - Question 2
Substitute x = 4 into the function: f(4) = 3(4) + 2 = 12 + 2 = 14.
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Test: Sequences and Functions - Question 3
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Given the sequence 5, 11, 17, 23, ..., what is the 7th term?

Detailed Solution for Test: Sequences and Functions - Question 3
The sequence increases by 6 each time. So, the 7th term is 5 + 6(7-1) = 5 + 36 = 41.
Test: Sequences and Functions - Question 4
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What is the value of x in the function f(x) = 2x - 5 when f(x) = 9?
Detailed Solution for Test: Sequences and Functions - Question 4
Set the function equal to 9: 2x - 5 = 9. Solve for x: 2x = 14, x = 7.
Test: Sequences and Functions - Question 5
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What is the next number in the sequence: 1, 4, 9, 16, ...?
Detailed Solution for Test: Sequences and Functions - Question 5

The given sequence 1,4,9,16,… represents the squares of consecutive integers (1², 2², 3², 4², ...).

To find the next term:

  • The next integer after 4 is 5.
  • Calculate 52
    52 = 25

Therefore, the next number in the sequence is 25.

Test: Sequences and Functions - Question 6
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For the function g(x) = x2 - 4x + 4, what is the value of g(2)?
Detailed Solution for Test: Sequences and Functions - Question 6

Substitute x = 2 into the function: g(2) = (2)2 - 4(2) + 4 = 4 - 8 + 4 = 0.

Test: Sequences and Functions - Question 7
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What is the common difference in the arithmetic sequence 7, 14, 21, 28, ...?
Detailed Solution for Test: Sequences and Functions - Question 7
The common difference is found by subtracting consecutive terms: 14 - 7 = 7.
Test: Sequences and Functions - Question 8
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Which of the following is the inverse of the function f(x) = x + 3?
Detailed Solution for Test: Sequences and Functions - Question 8

To find the inverse, solve for x: y = x + 3, x = y - 3,
so f-1(x) = x - 3.

Test: Sequences and Functions - Question 9
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If the function h(x) = 2x2 + 3x - 5, what is h(-1)?
Detailed Solution for Test: Sequences and Functions - Question 9

Substitute x = -1 into the function: h(-1) = 2(-1)2 + 3(-1) - 5 = 2 - 3 - 5 = -6.

Test: Sequences and Functions - Question 10
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What is the next term in the geometric sequence 3, 9, 27, 81, ...?
Detailed Solution for Test: Sequences and Functions - Question 10
The sequence multiplies by 3 each time. So, the next term is 81 * 3 = 243.
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