Mathematics CSEC Exam Review

Flashcards covering key formulas and problem-solving techniques from the Mathematics CSEC exam.

What is the formula for the volume of a cylinder?

V = πr²h, where r is the radius of the base and h is the height.

How do you calculate the area of a triangle?

Area = (1/2) × base × height.

What is the Circumference of a circle?

C = 2πr, where r is the radius.

What is the area of a trapezium?

Area = (1/2)(a + b)h, where a and b are the lengths of parallel sides and h is the height.

What is the Sine rule?

a/sin A = b/sin B = c/sin C, where a, b, and c are sides of the triangle, and A, B, and C are opposite angles.

What is the Cosine rule?

a² = b² + c² - 2bc cos A, for triangle sides a, b, c, opposite angles A, B, C respectively.

How do you simplify the inequality 12 - 4m ≤ 5 - 8m?

Combine like terms to solve for m.

If Haresh is paid $11.20 per hour and works 35 hours a week, what does he earn in four weeks?

Haresh earns $1568 in a four-week month.

Given x + 3 and 4x - 5, how do you express the lengths PQ and RQ in terms of x?

PQ = (4x - 5) and RQ = (x + 3).

What is the exact value of √(1 - (cos 37°)²)?

Use the Pythagorean identity: √(sin²θ) = sinθ = sin 37°.

In standard form, how would you write 0.00527?

5.27 × 10^(-3).

What is the formula for the capacity of a cone?

V = (1/3)πr²h.

How do you calculate the sector angle for football in a pie chart if there are 75 total responses?

Calculate the proportion of responses and then the angle using 360 degrees.

For the equation -x²+x+7=0, how do you find the solutions graphically?

Identify the x-intercepts of the parabola on the graph.

What geometric relationship exists between angles in a circle concerning tangents?

The tangent line forms right angles with the radius at the point of tangency.

How do you find the bearing of M from L in a triangle under the constraints given?

Use geometric principles and provided angle information.

What is the approximate formula for the arc length of a circle segment?

Arc length = (θ/360) × 2πr, where θ is the angle in degrees.

How do you determine the modal sport from the given data?

Identify the sport with the highest count from the bar chart.