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26 cardsBasic Education Certificate Examination

BECE Mathematics and Science Rules

Essential mathematical formulas, geometric properties, and physical science laws for the BECE.

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What is the sum of interior angles in any triangle?
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1
What is the sum of interior angles in any triangle?
180°.
2
What is the formula for the sum of interior angles in an n-sided polygon?
(n - 2) * 180°.
3
What is the sum of exterior angles of any convex polygon?
360°.
4
State Pythagoras' theorem for a right-angled triangle with hypotenuse c.
c² = a² + b².
5
What is the area formula for a circle of radius r?
Area = πr².
6
What is the circumference formula for a circle of diameter d?
Circumference = πd (or 2πr).
7
What is the area of a trapezium with parallel sides a and b and height h?
Area = 1/2 (a + b) h.
8
What is the volume formula for a cylinder of radius r and height h?
Volume = πr²h.
9
What is the total surface area of a closed cube of side s?
TSA = 6s².
10
How do you calculate the mechanical advantage (MA) of a simple machine?
MA = Load ÷ Effort.
11
How do you calculate the velocity ratio (VR) of a machine?
VR = Distance moved by effort ÷ Distance moved by load.
12
What is the formula for the efficiency of a machine?
Efficiency = (MA ÷ VR) * 100%.
13
State Ohm's law formula connecting voltage, current, and resistance.
V = I R (Voltage = Current Resistance).
14
What is the formula for mechanical work done?
Work = Force Distance moved in the direction of the force (W = F d).
15
What is the formula for mechanical power?
Power = Work Done ÷ Time taken (P = W / t).
16
What is the formula for pressure exerted by a force over an area?
Pressure = Force ÷ Area (P = F / A).
17
What is the SI unit of pressure?
Pascal (Pa), equivalent to N/m².
18
What is the international colour code for the Earth wire in a 3-pin plug?
Green with yellow stripes.
19
What is the colour code for the Live wire in standard appliance flex?
Brown.
20
What is the colour code for the Neutral wire in standard appliance flex?
Blue.
21
What is simple interest formula on principal P at rate R% over time T years?
Interest = (P R T) / 100.
22
What is the median of a numerical dataset?
The middle value when the data is arranged in ascending order.
23
What is the mode of a dataset?
The value that occurs most frequently.
24
What is the range of a dataset?
The difference between the maximum value and the minimum value.
25
How do you calculate the gradient (slope) of a line through (x₁, y₁) and (x₂, y₂)?
Gradient m = (y₂ - y₁) ÷ (x₂ - x₁).
26
What is the order of rotational symmetry of a regular pentagon?
5.

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