2024 - JAMB Mathematics Past Questions and Answers - page 4

Multiply numerator and denominator by the conjugate:

Expand:

Thus:

Mean:

Squared deviations:

• 25
• 16
• 1
• 9
• 25

Sum = 76

Variance:

Standard deviation:

Volume formula:

Substitute:

Rounded:

\(1.62 \text{ cm}^3\)

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

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

Step 3: Probability:

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

P = {2, 3, 5}

Q = {1, 2, 3, 6}

Intersection:

Total playing football or volleyball:

\(22 + 26 - 3 = 45\)

Therefore, number who play neither:

\(46 - 45 = 1\)

Find intersection:

\(2x + 4 = 7 - x\)

\(3x = 3\)

\(x = 1\)

Substitute:

\(y = 2(1) + 4 = 6\)

Distance between (4, 3) and (1, 6):

Since:

\(x = k\sqrt{y}\)

Given x = 81, y = 9:

\(81 = k(3)\)

\(k = 27\)

Convert mixed number:

\(1\frac{7}{9} = \frac{16}{9}\)

\(\sqrt{\frac{16}{9}} = \frac{4}{3}\)

Thus:

\(x = 27 \times \frac{4}{3} = 36\)

The diagram shows a pair of intersecting lines forming angles at the intersection. To find the value of x, we use the property of vertically opposite angles. Since the angles are equal, the value of x is 40^o.

In the diagram above, < CDE = < CED = 15^o (base angles of isosceles triangle)

< ECD = 180^o - (15 + 15)^o = 150^o

But x + 110^o = 150^o (sum of opposite interior angles = opposite exterior angle)

x = 150^o - 110^o = 40^o