2024 - JAMB Mathematics Past Questions and Answers - page 2

The word "LEADER" has 6 letters. The letter E appears twice.

To find the number of arrangements, we use the formula for permutations with repetitions:

In "LEADER":

• Total letters: 6
• 'E' appears twice

Thus, the total number of arrangements is 360.

To find the median, we first organise the data from the table:

Listing all data points:

• 3 appears 2 times → 3, 3
• 6 appears 3 times → 6, 6, 6
• 5 appears 4 times → 5, 5, 5, 5
• 2 appears 6 times → 2, 2, 2, 2, 2, 2

Ordered list:

2, 2, 2, 2, 2, 2, 3, 3, 5, 5, 5, 5, 6, 6, 6

There are 15 values. The median is in position:

The 8th value is 3.

Step 1: Total fruits = 9 + 8 + 7 = 24

Step 2: Fruits that are not apples or oranges = bananas = 8

Step 3: Probability:

Rewrite the equation:

Slope = \(\frac{7}{4}\)

Perpendicular slope:

Using point-slope form for point (-3, 1):

Simplifying:

Multiply by 7:

Final Answer: 4x + 7y + 5 = 0

Start with:

Multiply all terms by 12:

Simplify:

Volume of a cylinder:

Given:

• V = 3080 m³
• Diameter = 14 m → r = 7 m
• π = \(\frac{22}{7}\)

Substitute:

Depth = 20 m

Convert mixed numbers:

• \(2\frac{2}{3} = \frac{8}{3}\)
• \(1\frac{1}{2} = \frac{3}{2}\)
• \(4\frac{4}{5} = \frac{24}{5}\)

Expression becomes:

Multiply numerator:

Now:

Answer: \(\frac{5}{6}\)

Arc length formula:

Given θ = 30°, r = 12 cm

Substitute:

Total surface area of a cuboid:

Substitute:

Total surface area = 592 cm²

P = {2, 3, 5}

Q = {1, 2, 3, 6}

Intersection: