O/L Maths 2016 Paper

Import duty as a percentage of an item's value

Answer: Rs 48

💡 What it's asking: Duty is just a percentage of the item's value.

1. 16% means 6 out of every 100.
2. 2Rs 800 has 8 hundreds.
3. 38 × 6 = 48, so the duty is Rs 48.

✅ 10% of 800 is 80, and 6% should be a bit more than half of that: 48 fits.

Shade the intersection of two sets

Answer: Shade the common region of A and B

💡 What it's asking: The intersection is what the two sets share.

1. 1Find circle A and circle B.
2. 2Find the region that is inside both at the same time: the middle overlap.
3. 3Shade only that overlap.

✅ Any point you shaded should be inside A and also inside B.

Uniform speed from distance and time

Write a logarithm statement in index form

Solve a quadratic given in factorised form

Positive integers satisfying a linear inequality

Add two algebraic fractions

LCM of two algebraic terms

Time to harvest with more machines

Probability of drawing an odd-numbered card

First approximation of a square root from a table

Corresponding angles of congruent triangles

Curved surface area of a cylinder

Cyclic quadrilateral exterior angle with an isosceles triangle

Adjacent side from a cosine value

Gradient and intercept of a line from its graph

True or false statements about parallelograms

Opposite angle of a cyclic quadrilateral

Chord length from radius and distance to centre

Multiply two 2 x 2 matrices

Angle using the midpoint theorem

Angle in a semicircle and angles on the same arc

Volume of a right triangular prism

Median and first quartile from partial ordered data

Sketch locus to find a point on a side equidistant from two vertices

Fractions of a donation spent on items; find the total

Pie chart angles and numbers of farmers; redraw after change

Shares, dividend, capital gain, then compound interest

Grid sample space with replacement and a tree diagram

Semicircular stage and rectangle: arc, areas, bulb spacing

Graph of a quadratic; decreasing range, turning point, root

Mean examination time and number of doctors needed

Monthly instalment with reducing-balance interest

Trigonometric tables and bearings on a city plan

Simultaneous equations for students and teachers; an inequality

Quadratic from areas of a cut sheet; surd roots

Arithmetic progression odd terms sum; geometric first and fifth terms

Construct triangle, incircle and a parallel tangent

Angle in terms of x and prove a cyclic quadrilateral

Midpoints: congruence, parallelogram equal in area to triangle, right angle

Sphere melted into discs: derive radius and evaluate by logs

Venn diagram of cricket viewers with a males subset