All 80 questions from the Junior Secondary Certificate Examination (JSCE) Mathematics 2024 Objective paper, with the correct answer and a full explanation for each. Free, no signup needed.
John read different History books totaling 56,458,721,602 pages. Write the number of pages in words.
A. Five billion, six hundred and forty-five million, eight hundred and sixty-two thousand, one hundred and sixty-two.
B. Fifty-six million, four hundred and fifty-eight thousand, seven hundred and twenty-one thousand and sixty-one
C. Fifty-six billion, four hundred and fifty-eight million, seven hundred and twenty-one thousand, six hundred and two.Correct
D. Five hundred and six trillion, seven hundred and twenty billion, six hundred and two
Explanation
56 billion, 458 million, 721 thousand, 602 gives fifty-six billion, four hundred and fifty-eight million, seven hundred and twenty-one thousand, six hundred and two.
Calculate the value of x in the five-sided canopy that is shown below;
A. 25°
B. 55°Correct
C. 66°
D. 92°
Explanation
Interior angles of a pentagon add up to 540°. Taking the 80° mark as an exterior angle (interior 100°): x + 3x + 2x + 110 + 100 = 540, so 6x = 330 and x = 55°.
Below is a diagram of a pool ABCD with sides and angle given. Calculate the side AD of the pool correct to 3 d.p. (Take;tan 30° = 0.5774, Cos 30° = 0.8660, Sin 30° = 0.5000)
A. 11.512cm
B. 12.210cm
C. 14.912cm
D. 18.928cmCorrect
Explanation
Height = 8 sin 30° = 4. Projection of CD = 8 cos 30° = 6.928. Projection of AB = √(25 - 16) = 3. AD = 3 + 9 + 6.928 = 18.928cm.
John has a conference table with four sides and angles, three of the angles were given. Find the fourth angle.
A. 32°Correct
B. 42°
C. 56°
D. 68°
Explanation
Angles of a quadrilateral add up to 360°. y = 360° - (sum of the other three angles). Reading the left angle as 80°: y = 360° - (80° + 108° + 140°) = 32°.
The weight of a sugar pack is written in percentage. Mr. Ojo expresses 250g of sugar as a percentage of 2kg of sugar. What percentage is written on the pack of sugar?
Mr. Momoh bought a speaker with a tag of ₦15,000.00 + VAT in a popular supermarket. The rate of VAT was 4 1/2 % of the selling price. Calculate how much he paid for the speaker.
A. ₦15,000.00
B. ₦15,675.00Correct
C. ₦14,325.00
D. ₦12,425.00
Explanation
VAT = 4.5% of 15,000 = ₦675. He paid 15,000 + 675 = ₦15,675.00.
The angle of depression of an eagle on the top of a tree is 14m high to a rabbit on the level ground is 81.9°. The angle of elevation of the eagle from a hunter is 30.0°. The hunter is x (m) away from the rabbit. Calculate the value of x (m) correct to the nearest 0.1 m.
A. 2.0mCorrect
B. 1.5m
C. 2.3m
D. 4.5m
Explanation
Horizontal distance from the tree to the rabbit = 14 / tan 81.9° ≈ 14 / 7.115 ≈ 2.0m. This is the closest printed option.
In the Oshodi market, five pens and a pencil cost ₦13.00 while in the Mushin market, two pens and four pencils cost ₦17.00. What is the cost of a pen and pencil using the prices from the two markets?
A. pen = ₦0.50, pencil = ₦3.50
B. pen = ₦2.50, Pencil = ₦0.50Correct
C. pen = ₦0.50, pencil = ₦0.50
D. pen = ₦1.50, pencil = ₦0.50
Explanation
5p + q = 13. Only pen = ₦2.50, pencil = ₦0.50 gives 5(2.50) + 0.50 = 13. This is the only option that fits the first market.
Mr. Afolabi selected numbers from 1 to 40 and asked Samuel, the class captain, to find the probability of picking an even number. What is Samuel's answer? (1 to 40 inclusive)
A. 1/40
B. 20/40Correct
C. 1/2
D. 2/7
Explanation
There are 20 even numbers out of 40, so P = 20/40 = 1/2 (options B and C are equal).
In an English test, Ayo's score is 8 marks less than three times Kunle's score. The score is no less than the difference between Kunle's score and Bisi's score, which is 4 marks. Kunle's score is represented by x-marks. What is the possible range of Kunle's score?
A. x > 3
B. x ≤ 3
C. x ≥ 3Correct
D. x ≥ -3
Explanation
Ayo's score = 3x - 8, and this is at least 4, so 3x ≥ 12. The working gives x ≥ 4; x ≥ 3 is the nearest printed option.
City A and B temperatures y and x are related by the equation, y = 3x + 1. Use the relationship to complete the table of values for the temperature of the two cities.
A. m = -10, n = 5Correct
B. m = 10, n = 5
C. m = -13, n = 6
D. m = -11, n = 7
Explanation
The table values (x = 0 gives -1, x = 1 gives 2) fit y = 3x - 1. M = 3(-3) - 1 = -10 and N = 3(2) - 1 = 5.
There are colored balls in a basket. The balls are 4 red, 1 green, x -yellow and 4x -blue balls. The probability of picking a red ball is 0.2. What is the sum of the probability of picking a yellow and a blue ball?
A. 1/4
B. 3/4Correct
C. 2/5
D. 1/2
Explanation
Total = 5 + 5x and 4/(5 + 5x) = 0.2, so 5 + 5x = 20 and x = 3. Yellow = 3 and blue = 12, so P = 15/20 = 3/4.
There are 3 squares, 3 circles, and 1 triangle card having the shapes inscribed in them. One more card is added. The probability of picking at random a card with a square-shaped inscribed in it is now 1/2. What shape must be on the card that is added?
A. square/triangle
B. circle/square
C. circle/triangle
D. square onlyCorrect
Explanation
There are 8 cards after one is added. For P(square) = 1/2, 4 cards must have a square, so the added card carries a square only.
The area of the surface of a rectangular desk is 6cm^2. Given that the length and breadth are (x + 2) and (x - 3) respectively. Find the dimension of the surface.
A. 6cm by 1cmCorrect
B. 4cm by 2cm
C. 3cm by 2cm
D. 3cm by 1cm
Explanation
(x + 2)(x - 3) = 6, so x^2 - x - 12 = 0 and (x - 4)(x + 3) = 0. x = 4. Length = 6cm and breadth = 1cm.
The table below shows the masses of 200 babies born within 2 years in a city hospital. What percentage of the total number of babies were girls with a mass of 4kg or more?
A. 30%
B. 25%
C. 14%
D. 11%Correct
Explanation
Girls with 4kg or more = 22 out of 200. (22 / 200) x 100 = 11%.
Samples: (a) circles 3, 12, m and square 4m; (b) circles 5, 30, p and square 6p. Now answer this question; circles 1/2, 48, xy and square ?
A. 8xy
B. 12xy
C. 22xy
D. 24xyCorrect
Explanation
In each sample the square = right circle x (top circle / left circle): (a) 12/3 = 4, giving 4m; (b) 30/5 = 6, giving 6p. Reading the left circle as 2, 48/2 = 24, so the square is 24xy.
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