Ordinary level 2025 Centre mock mathematics 2

Section A.

Answer all questions in this section.

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Question 1

(a) Express 36 and 96 as product of their prime numbers.

(b) Find the HCF of 36 and 96.

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Question 2

A rectangular room measures $5\text{m}$ by $4\text{m}$, calculate the area of the floor uncovered if a Carpet of dimension $3.5\text{m}$ by $4\text{m}$ is to be placed on the floor.

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Question 3

The sum of two real numbers is 35 and their difference is 8, find the numbers.

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Question 4

(a) A cylindrical tank of length $7\text{m}$, is of radius $4\text{m}$. Calculate the maximum volume of petrol that the tank can hold.

(b) Calculate the volume of a conical tank with same base radius and height.

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Question 5

Given the sets A, B and C defined as follows:

$A = \{x : x \text{ is a prime number less than } 10\}$

$B = \{x : x \text{ is a prime factor of } 35\}$

$C = \{x : x \text{ a factor of } 20\}$

a. List the elements of the sets A, B, and C.