# Download 2024 BECE Mathematics Sample Questions and Answers

As candidates prepare for the BECE, they need 2024 BECE Mathematics Sample Questions and Answers to work with. This is why this news portal exists and continues to share such resources for the benefit of schools, candidates, and other stakeholders.

The questions shared here, along with their answers, should serve as a guide for learners and teachers preparing them for the pending examination.

This set is part two of the total questions. The first set can be found here – Set One LINK

## 2024 BECE Mathematics Sample Questions and Answers

Below are some of the questions you are about to download, along with their answers

1. (a). i. Round 7.5678 into three significant figures

ii. Paul and Peter share an amount of money in the ratio x: 3. If they shared GH2400.00. Find the value of x if Peter had GH ₵1800

(b) (i) Multiply 456 by 23 and leave the answer in the nearest thousands

A ladder of length 15m leans against a vertical wall. The angle of depression from a carpenter on top of the ladder to a tree is 60°. Find the distance between the foot of the ladder and foot of the tree

2. (a). Adom earns GH₵2500 a month after tax and his elder brother Arko earns three times as much. How much is their total income after five years if there are no increases in their earnings?

(b). (i) The diagram below represents a triangle

Using ruler and a pair of compasses only

(a). Construct

triangle PQR such that <PQR=60°,|PQ|=8cm and <QPR=45°

perpendicular bisector of PQ from R at M

the mediator of angle PQR

(b). Extend M to T such that MR and MT = 1:1. Join P to T and Q to T. Name the figure

4. (a)(i)The midpoint of points A and B is M(3, 4). The coordinates of A and B are (2, a) and (b, 12) respectively. Find the values of a and b.

(ii) Find the value of x in the equation; 1/27=9^(x-2)

### Download 2024 BECE Mathematics Sample Questions and Answers On Arithmetic and Algebra

**Question 1:**

Kwame and Ama are siblings who attend the same school in Accra. Kwame is in grade nine, and Ama is in grade seven. One day, they decided to save some money from their daily allowance. Kwame saved 3 cedis every day while Ama saved 2 cedis every day.

**a.** If Kwame and Ama saved money for 15 days, how much money did each of them save individually?

**b.** Together, how much money did Kwame and Ama save in total after 15 days?

**c.** Kwame decided to save half of his money in a bank that gives 5% interest per month. How much interest will Kwame earn in one month from the amount he saved in the bank?

**Question 2:**

Akosua, Yaw, and Kofi participated in a charity run to raise money for their school library. Akosua ran twice the distance Yaw ran, and Yaw ran 3 kilometers more than Kofi. If the total distance all three students ran was 27 kilometers:

**a.** Let the distance Kofi ran be $x$ kilometers. Write an expression for the distance Yaw ran and the distance Akosua ran in terms of $x$.

**b.** Form an equation to represent the total distance they ran and solve for $x$.

**c.** Calculate the exact distance each student ran.

### Set 2: Geometry and Measurement

**Question 1:**

Esi and Kojo are friends who live in Kumasi. They decided to measure the length of their rectangular school playground. Esi measured the length of the playground to be 60 meters and the width to be 40 meters.

**a.** Calculate the perimeter of the playground.

**b.** Calculate the area of the playground.

**c.** If the school wants to build a fence around the playground and the cost of fencing is 15 cedis per meter, how much will it cost to fence the entire playground?

**Question 2:**

Adjoa and Kweku are building a rectangular garden in their backyard. The garden’s length is twice its width. They have a total of 54 meters of fencing material to enclose the garden.

**a.** Let the width of the garden be $w$ meters. Write an expression for the length of the garden in terms of $w$.

**b.** Write an equation for the perimeter of the garden and solve for $w$.

**c.** Calculate the length and the width of the garden.

**d.** Determine the area of the garden.

## Solutions to the questions above

### Set 1: Arithmetic and Algebra

**Question 1:**

**a.** If Kwame saved 3 cedis every day for 15 days, the amount Kwame saved is: $Kwame’s Savings=3×15=45cedis$

If Ama saved 2 cedis every day for 15 days, the amount Ama saved is: $Ama’s Savings=2×15=30cedis$

**b.** Together, the total amount saved by Kwame and Ama is: $Total Savings=45cedis+30cedis=75cedis$

**c.** Kwame decided to save half of his money in a bank, which is: $Amount saved in the bank=245 =22.5cedis$

The interest earned in one month at 5% is: $Interest=22.5×0.05=1.125cedis$

**Question 2:**

**a.** Let the distance Kofi ran be $x$ kilometers. Then:

- The distance Yaw ran is $x+3$ kilometers.
- The distance Akosua ran is $2(x+3)$ kilometers.

**b.** The total distance all three students ran is: $x+(x+3)+2(x+3)=27$

Simplify and solve for $x$: $x+x+3+2x+6=27$ $4x+9=27$ $4x=27−9$ $4x=18$ $x=4.5$

**c.** Therefore, the distances each student ran are:

- Kofi: $x=4.5$ kilometers
- Yaw: $x+3=4.5+3=7.5$ kilometers
- Akosua: $2(x+3)=2×7.5=15$ kilometers

### Set 2: Geometry and Measurement

**Question 1:**

**a.** The perimeter of the rectangular playground is: $Perimeter=2×(Length+Width)=2×(60+40)=2×100=200meters$

**b.** The area of the playground is: $Area=Length×Width=60×40=2400square meters$

**c.** The cost to fence the entire playground is: $Cost=200×15=3000cedis$

**Question 2:**

**a.** Let the width of the garden be $w$ meters. Then the length is: $Length=2w$

**b.** The perimeter of the garden is: $2(Length+Width)=54$ $2(2w+w)=54$ $2×3w=54$ $6w=54$ $w=9$

**c.** Therefore, the dimensions of the garden are:

- Width: $w=9$ meters
- Length: $2w=2×9=18$ meters

**d.** The area of the garden is: $Area=Length×Width=18×9=162square meters$

## Download 2024 BECE Mathematic Sample Questions and Answers and revise now.

MATHEMATICS MOCK Questions 2024