2.2.4 Number Patterns and Sequences, PT3 Practice

Posted on January 25, 2017 by user

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Question 16:
State the first two common multiples of 3, 5 and 6.

Solution:
Multiples of 3 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, …
Multiples of 5 = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, …
Multiples of 6 = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, …

The first two common multiples of 3, 5 and 6 are 30 and 60.

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Question 17:
Find the lowest common multiple (LCM) of 4, 8 and 24.

Solution:

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Question 18:
Find the lowest common multiple (LCM) of 8, 12 and 15.

Solution:

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Question 19:
Find the highest common factor (HCF) of 26, 52 and 156.

Solution:

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Question 20:
Given that (m + 5) is the highest common factor of 81 and 108, find the value of m.

Solution:

2.2.3 Number Patterns and Sequences, PT3 Practice

Posted on January 22, 2017 by user

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Question 11:
State all the prime factors of 156.

Solution:

\begin{array}{l} Factors of 156 : \\ 1 \times 156 \\ 2 \times 78 \\ 3 \times 52 \\ 4 \times 39 \\ 6 \times 26 \\ 12 \times 13 \\ 2, 3 and 13 are the prime factors of 156. \end{array}

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Question 12:
State all the prime factors of 182.

Solution:

\begin{array}{l} Factors of 182 : \\ 1 \times 182 \\ 2 \times 91 \\ 7 \times 26 \\ 13 \times 14 \\ 2, 7, 13 and 91 are the prime factors of 182. \end{array}

4.9.5 Sexual Reproduction in Flowering Plants (Structured Question 1 & 2)

Posted on January 8, 2017 by user

Question 1:
Diagram below shows a longitudinal section of the reproductive parts of a flower during fertilization.

(a) On the Diagram, name the structures J, K, L and M.

(b)(i) In the space below, draw a section through the ovule, showing all the cells in M.
(b)(ii) What is the significance of having two K structures in the fertilization?

(c) In the Diagram, the structure Y has to be kept dormant for future research purposes.
(i) Explain how Y can be prevented from germinating.
(ii) If Y is to be germinated, suggest one method to stimulate the germination of Y.

Answer:
(a)
J : Pollen tube
K : Male gamete
L : Ovary
M : Embryo sac

(b)(i)

(b)(ii)
- One K/ male gamete fertilizes an egg cell to form a diploid zygote.
- One more K fuses with two polar nuclei to form a triploid zygote.

(c)(i)
- Keep Y in a dry place
- Moisture initiates germination

(c)(ii)
Spraying a sugary solution onto Y