# 2024 BECE Mathematics Sample Questions Released

The latest Ghana Education News update for final year students in Junior High School is that GES and NaCCA have released the 2024 BECE Mathematics Sample Questions to aid student’s preparation.

In this publication, we share with candidates some of the questions from both section A and B.

## 2024 BECE Mathematics Sample Questions – SECTION B

1. A group of 80 learners took a test in Mathematics or French or both. 15 of them passed in both Mathematics and French, but 11 more learners passed in French than Mathematics. Each learner passed in at least one of the two subjects.

a) Represent the above information on a Venn diagram.

b) Find the number that passed in

i) French.

ii) Only one subject

**Suggested solution from Ghana Education News **

a) Here’s a representation of the information on a Venn diagram:

Let:

- $M$ be the set of students who passed in Mathematics,
- $F$ be the set of students who passed in French,
- 𝑛(𝑀)be the number of students who passed in Mathematics,
- 𝑛(𝐹) be the number of students who passed in French,
- $n(M∩F)$ be the number of students who passed in both Mathematics and French.

Given:

- $n$(Number of students who passed in both),
- 𝑛(𝐹)=𝑛(𝑀)+11 (Number of students who passed in French is 11 more than those who passed in Mathematics),
- Total number of students who passed in at least one subject = 80.

Based on the information, we can say:

$n(M∩F)=15$

𝑛(𝐹)=𝑛(𝑀)+11

𝑛(𝑀∪𝐹)=𝑛(𝑀)+𝑛(𝐹)−𝑛(𝑀∩𝐹)

𝑛(𝑀∪𝐹)=80

Using the formula for the number of students who passed in at least one subject:

$n(M∪F)=n(M)+n(F)−n(M∩F)$

80=𝑛(𝑀)+(𝑛(𝑀)+11)−15

80=2𝑛(𝑀)−4

84=2𝑛(𝑀)

$n(M)=42$

From this, we can find 𝑛(𝐹)

$n(F)$: 𝑛(𝐹)=𝑛(𝑀)+11

𝑛(𝐹)=42+11

$n(F)=42+11$

𝑛(𝐹)=53

b) Now, we can find the number of students who passed in French and only French:

$n(Fonly)$$=n(F)−n(M∩F)$

𝑛(𝐹 only)=53−15

$n(Fonly)=38$

Therefore, the number of students who passed in French is 53, and the number who passed in only one subject (French) is 38.

Or consider this alternative:

Let the number of learners passing mathematics (M) be y since it wasn’t giving

therefore learners passing French (F ) =y +11

write an equation from this information represented on a Venn diagram to solve for the number of learners who passed in Mathematics

y-15+15+y+11-15=80

2y-4=80

2y=80+4

2y=84

y=42

Therefore those who passed in French is y+11

=42+11

=53

only one subject=

mathematics only+French only

42-15+ 53-15=65

Let’s represent the information on a Venn diagram:

2. a) Dufie spent 1/3 of her pocket money on breakfast and 1/6 of what still remained on sweets. If she still had GH¢ 55.00, how much originally was her pocket money?

**Suggested Solution**

Let’s denote Dufie’s original pocket money as $𝑥$ cedis.

- She spent 1/3 of her pocket money on breakfast, leaving 2/3 of her pocket money.
- She then spent 1/6 of what still remained on sweets, leaving 5/6 of 2/3 of her original pocket money.
- Finally, she had GH¢ 55.00 left, which is 5/6×2/3 of her original pocket money.

We can set up an equation to solve for $x$:

5/6×2/3×𝑥=55

First, simplify the left side of the equation:

5/6×2/3=10/18=5/9

Now, the equation becomes:

5/9 𝑥=55

To solve for $x$, multiply both sides by 9/5

𝑥=55×9/5

𝑥=99

So, Dufie’s original pocket money was GH¢ 99.00.

c) You are using a magnifying glass that shows the image of an object that is six times the object’s actual size.

Determine the length of the image of the spider seen through the magnifying glass.

3. a) The total surface area of a cube is 384 cm2. Find the:

i) Length of a side of the cube.

ii) Volume of the cube.

b. A pickup truck has a bucket that measures 4 ft by 8 ft by 17 in. What is the volume of the bucket?

4. a) Mr. Mensah is four times as old as his daughter, Kukua. In 14 years’ time, the sum of their ages will be 78.

Find their present ages.

**Suggested Solution**

Let’s denote the daughter’s age as $K$ and the father’s age as $M$.

Given:

- Mr. Mensah is four times as old as his daughter: 𝑀=4𝐾
- In 14 years’ time, the sum of their ages will be 78: (𝑀+14)+(𝐾+14)=78

Substitute the first equation into the second equation to find $K$:

(4𝐾+14)+(𝐾+14)=78

5𝐾+28=78

5𝐾=50

𝐾=10

So, Kukua’s present age is 10 years old. Now, substitute 𝐾=10 into the first equation to find Mr. Mensah’s age:

𝑀=4×10

𝑀=40

Therefore, Mr. Mensah is 40 years old.

**2024 BECE Mathematics Sample Questions**

b) Two soup tins are similar. Tin P can hold 500 grams of soup while tin Q can hold 750 grams of soup. The height of tin P is 11 cm.

i. Calculate the height of tin Q.

ii. Calculate the ratio of the heights of the tins

**Suggested Solution**

To find the height of tin Q, we can use the fact that the tins are similar, meaning their dimensions are proportional. Since the volumes of the tins are proportional to the cubes of their heights, we can set up a proportion:

Height of 𝑃/Height of 𝑄= (Volume of 𝑃Volume of 𝑄) superscript 1/3

Given:

- Volume of tin P = 500 grams
- Volume of tin Q = 750 grams
- Height of tin P = 11 cm

i. Calculate the height of tin Q:

11/Height of 𝑄=(500/750) superscript 1/3

11/Height of 𝑄=(2/3)superscript 1/3

11/Height of 𝑄=2/3

11=2/3×Height of 𝑄

Height of 𝑄=11 superscript 1/3

Height of 𝑄=11×3/2

Height of 𝑄=16.5 cm

ii. Calculate the ratio of the heights of the tins:

Ratio=Height of 𝑃/Height of 𝑄

Ratio=11/16.5

Ratio=2/3

So, the height of tin Q is 16.5 cm, and the ratio of the heights of the tins is 2:3.

## Solve the remaining Questions Below

5. a) A box contains 60 mangoes of which some are not ripe.

The probability of selecting at random a mango that is ripe is 3/4

How many mangoes are not ripe?

READ: **2024 BECE English Language Sample Questions From GES and NaCCA**

b) Factorise completely : ( 𝑚 + 𝑛 )( 2𝑥 – 𝑦) – ( 𝑚 + 𝑛).

c) Given that 𝐶 = 𝑘 × 216 × 27, what is the smallest whole number k, that will make C a perfect square?

6. Copy and complete the magic square using any of the numbers 9,11,12, 14, 15, 16, 17, 18 and 19.

Use each number once, such that the sum of the three numbers, horizontally, vertically or diagonally are equal.

b) Find the scale factor of the dilation. Then tell whether the dilation is a reduction or an enlargement.

READ: 2024 BECE Integrated Science Sample Questions from GES & NaCCA

Section A:

Read and write in number quantities up 10, 000,000. [Level 1] | Which of the following correctly reads the given number quantity 6,245,789? A. Six million, two hundred forty-five thousand, seven hundred eighty-nine. B. Six million, two hundred fifty-four thousand, seven hundred eighty-nine. C. Six million, two hundred forty-five thousand, seven hundred ninety. D. Six million, two hundred fifty-four thousand, seven hundred ninety |

We hope this Ghana Education News update the released the 2024 BECE Mathematics Sample Questions goes long way to help you.

Please i need sample questions for computing and career technology

It will be published as soon as it is available.

give me all mock 6 exams papers

please can you check the solution for the two set problem,I think the solution is not correct.

I stand to be corrected

Kindly read the question well. Once you get the understanding, you will appreciate the solution.

When you check the question,you will realise that the number of learners who passed Mathematics was not given but in the solution 4 was used.

I think it should be represented by a variable let say “y” so that those who passed in French only will be “y+11”

because when you check the Venn diagram you will realise that the sum of the values in it is not equal to the universal which is 80

bro you are right

let the number of learners passing mathematics (M) be y since it wasn’t giving

therefore learners passing French (F ) =y +11

write an equation from this information represented on a Venn diagram to solve for the number of learners who passed in Mathematics

y-15+15+y+11-15=80

2y-4=80

2y=80+4

2y=84

y=42

therefore those who passed in French is y+11

42+11

53

only one subject=

mathematics only+French only

42-15+ 53-15=65

my humble suggested solution to question

Crossed checked… your explanation makes more logical sense. Solution reworked and updated. Your solution is added as am alternative.

Good morning.

I think the magic square the numbers should 9,10,11,12,13,14,15,16,17.

10 was ommited in the list but was brought in the table.

I stand to be corrected.

please I need social studies question

please I need social studies sample question.

Samples are already on the website under the BECE category

This is really helpful, thank you.

THIS IS SIMPLE WAY OF LEARNING THANKS GES

This questions are the best

Thanks for the positive feedback…

Thanks

Thanks a lot .GES

Please i need some sample questions for math,

Thanks

Thank you very much GES,I believe this is going to help we the 2024 candidates a lot. We are very grateful and impressed. We hope to receive the rest of the subjects sooner or later,thank you again.

hi, good day i hope you are doing well ? please send me some mathematics sample quesions. pleaese send it on this number 0543387415

Thanks alot!

Please may we get the theoretical aspect of science and also social studies

Thanks GES for helping me.God richly bless you so much