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Q41•Short Answer•[3 Marks]

A tree is 15 meters tall. From a point 20 meters away from the base of the tree, what is the angle of elevation to the top of the tree? Use trigonometric ratios to find your answer.

Q42•Short Answer•[3 Marks]

A polynomial p(x) has zeroes at x = 2 and x = -3. If the polynomial is represented graphically, what is the geometric interpretation of these zeroes on the x-axis?

Q43•Very Short Answer•[2 Marks]

Find the 10th term of the arithmetic progression: 2, 5, 8, 11, ...

Q44•Very Short Answer•[2 Marks]

From a point outside a circle, draw a tangent to the circle and explain its properties.

Q45•Very Short Answer•[2 Marks]

Calculate the value of sin(30°) and cos(30°).

Q46•Very Short Answer•[2 Marks]

If the zeroes of the polynomial x^2 - 5x + 6 are alpha and beta, find the relationship between the zeroes and coefficients.

Q47•Very Short Answer•[2 Marks]

A tree is 30 meters tall. Find the height of the top of the tree if a person 1.5 meters tall stands 10 meters away from the base of the tree.

Q48•Very Short Answer•[2 Marks]

Find the median of the following data: 3, 5, 7, 9, 11.

Q49•Very Short Answer•[2 Marks]

Solve the pair of equations graphically: x + y = 10 and 2x - y = 4.

Q50•Very Short Answer•[2 Marks]

Using Euclid's Division Lemma, find the quotient and remainder when 37 is divided by 5.

Q51•MCQ•[1 Mark]

In triangle ABC, if angle A is 90 degrees and sides a and b are 3 cm and 4 cm respectively, what is the length of side c?

A5 cm
B8 cm
C6 cm
D7 cm
Q52•MCQ•[1 Mark]

Solve the pair of equations: 2x + 3y = 6 and 4x - 6y = 12 using the elimination method. What is the value of x?

A1
B4
C2
D3
Q53•MCQ•[1 Mark]

If a cylinder with a radius of 3 cm and height of 5 cm is converted into a cone, what will be its height if the base radius remains the same?

A5 cm
B7.5 cm
C15 cm
D10 cm
Q54•MCQ•[1 Mark]

What is the surface area of a cube with a side length of 3 cm?

A63 cm²
B27 cm²
C36 cm²
D54 cm²
Q55•MCQ•[1 Mark]

According to Euclid's Division Lemma, for any two positive integers a and b, there exist unique integers q and r such that:

Aa = b + qr
Ba = bq + r
Ca = br + q
Da = rq + b
Q56•MCQ•[1 Mark]

Which of the following is an example of an irrational number?

A√2
B1/3
C0.25
D-4
Q57•MCQ•[1 Mark]

What is the area of a sector of a circle with a radius of 10 cm and a central angle of 60 degrees? (Use π = 3.14)

A20.9 cm²
B17.5 cm²
C15.7 cm²
D10.5 cm²
Q58•MCQ•[1 Mark]

What is the area of a circle with a radius of 7 cm? (Use π = 22/7)

A154 cm²
B160 cm²
C128 cm²
D144 cm²
Q59•MCQ•[1 Mark]

What is the sum of the first 20 terms of the arithmetic progression 2, 5, 8, ...?

A360
B340
C320
D300
Q60•MCQ•[1 Mark]

Which graph best represents a cumulative frequency distribution?

AHistogram
BPie chart
CBar graph
DLine graph
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