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Question (1)

QN0019159

Which idea is mainly highlighted in the subtopic “This Way or That Way, All Ways Lead to the Bay”?

(A) Only one method is always correct
(B) Different methods can lead to the same correct result
(C) Graphs are better than algebra
(D) Approximation is always required

Correct Answer: B

Explanation:

Different methods in algebra lead to the same correct result

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Question (2)

QN0019160

The number of circles in Step k is given by:

(A) k²
(B) k² + 1
(C) k² + 2k
(D) 2k²

Correct Answer: C

Explanation:

Pattern simplifies to k² + 2k

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Question (3)

QN0019161

Which expression is equivalent to k² + 2k?

(A) k(k + 2)
(B) k(k + 1)
(C) (k + 2)²
(D) k² + k³

Correct Answer: A

Explanation:

Factor k: k(k + 2)

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Question (4)

QN0019162

Which expression correctly represents k² + 2k in factor form?

(A) k(k + 2)
(B) (k + 1)²
(C) (k + 2)²
(D) (k − 2)(k + 2)

Correct Answer: A

Explanation:

Take common factor k

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Question (5)

QN0019163

The expression (k + 1)² − 1 simplifies to:

(A) k² + 1
(B) k² + 2k
(C) k² − 2k
(D) 2k²

Correct Answer: B

Explanation:

Using identity (a+1)² − 1 = a² + 2a

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Question (6)

QN0019164

Which of the following shows the same result as k² + 2k?

(A) k(k + 2)
(B) k(k − 2)
(C) (k + 1)²
(D) k² − 2k

Correct Answer: A

Explanation:

k² + 2k = k(k + 2)

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Question (7)

QN0019165

In Step 10, number of circles is:

(A) 100
(B) 110
(C) 120
(D) 140

Correct Answer: C

Explanation:

10² + 2×10 = 120

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Question (8)

QN0019166

In Step 15, number of circles is:

(A) 225
(B) 240
(C) 255
(D) 270

Correct Answer: C

Explanation:

15² + 2×15 = 255

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Question (9)

QN0019167

The expression k² + 2k can also be written as:

(A) k(k + 2)
(B) k(k − 2)
(C) k² + 4k
(D) 2k²

Correct Answer: A

Explanation:

Factorisation

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Question (10)

QN0019168

The expression k × (k + 1) + k simplifies to:

(A) k² + k
(B) k² + 2k
(C) k² − k
(D) 2k²

Correct Answer: B

Explanation:

k² + k + k = k² + 2k

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Question (1)

Which idea is mainly highlighted in the subtopic “This Way or That Way, All Ways Lead to the Bay”?

Explanation:

Link:

Question (2)

The number of circles in Step k is given by:

Explanation:

Link:

Question (3)

Which expression is equivalent to k² + 2k?

Explanation:

Link:

Question (4)

Which expression correctly represents k² + 2k in factor form?

Explanation:

Link:

Question (5)

The expression (k + 1)² − 1 simplifies to:

Explanation:

Link:

Question (6)

Which of the following shows the same result as k² + 2k?

Explanation:

Link:

Question (7)

In Step 10, number of circles is:

Explanation:

Link:

Question (8)

In Step 15, number of circles is:

Explanation:

Link:

Question (9)

The expression k² + 2k can also be written as:

Explanation:

Link:

Question (10)

The expression k × (k + 1) + k simplifies to:

Explanation:

Link:

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