North Western Province 11 ශ්‍රේණිය ගණිතය 3 වාර පරීක්ෂණය 2019

Customs duty as a percentage of the import value

පිළිතුර: 30%

💡 ප්‍රශ්නයේ අදහස: භාණ්ඩවල වටිනාකමෙන් තීරු බද්ද ප්‍රතිශතයක් ලෙස සෙවිය යුතුයි. ප්‍රතිශතය යනු 'සියයට කීයද' යන්නයි; බද්ද වටිනාකමෙන් බෙදා 100 න් ගුණ කරන්න.

1. 1භාගය ලියන්න: බද්ද ÷ වටිනාකම = 13 800 ÷ 46 000.
2. 2සරල කරන්න: 13 800 ÷ 46 000 = 0.3.
3. 3ප්‍රතිශතයට හරවන්න: 0.3 × 100 = 30%.

✅ 46 000 න් 30% = 0.3 × 46 000 = 13 800; එය දී ඇති බද්දයි.

Subtract two algebraic fractions with denominators 3b and b

පිළිතුර: (2 + 3b)/(3b)

💡 ප්‍රශ්නයේ අදහස: භාග අඩු කිරීමට පෙර ඒවාට එකම හරයක් ලබා දෙන්න. 3b සහ b හි කු.පො.ගු. 3b යි.

1. 1පොදු හරය 3b යි; මන්ද b, 3b ට බෙදේ.
2. 2දෙවන භාගයේ ලවය සහ හරය 3 න් ගුණ කරන්න: 3(1 − b)/(3b).
3. 3ලව අඩු කරන්න: 5 − 3(1 − b) = 5 − 3 + 3b.
4. 4සරල කරන්න: 2 + 3b; එබැවින් පිළිතුර (2 + 3b)/(3b).

✅ b = 1 ගෙන බලන්න: 5/3 − 0 = 5/3, සහ (2 + 3)/3 = 5/3. සමානයි.

Side of a square from the arc length of a quarter-circle

Name congruent triangles in a quadrilateral and state the case

Speed from the last part of a distance-time graph

LCM of three algebraic terms

Rewrite a base-10 logarithm statement in index form

Exterior angle of a triangle on a straight line

Men needed for double the work in a given number of days

Match a factorised quadratic to find two coefficients

Choose the number whose square root is about 4.5

Angle between two chords from centre-to-midpoint lines

Solve a quadratic given as a product equal to zero

Base angle of the isosceles triangle from centre to two vertices

Intercept and gradient of a line from its graph

Identify which trigonometric ratio equals 3/5 in a right triangle

List the complement of a union from a Venn diagram

Midpoint theorem relation and an angle in the same segment

Find unknowns from a matrix scalar multiple and sum

True/false statements about the midpoint triangle

Cross-section area of a cylinder from volume and length

Probability of the union of mutually exclusive events

Angles of a cyclic quadrilateral with a parallel line

Locate a point on a locus equidistant from two points

Interquartile range from a cumulative frequency curve

Fractions of money spent on land, house, furniture; total from deposit

Wall hanging: triangle type, semicircle arc, area ratio, total height

Share purchase cost, ownership percentage and dividend per share

Commission on a land sale and the owner's remaining amount

Tree diagram for a two-level game played twice; probability of winning

Grid sample space for two players choosing games; complement probability

Pie chart angles to frequencies; histogram with unequal classes and polygon

Graph of y = 3 - (x+1)^2: symmetry axis, decreasing range, sqrt 3, shift

Interest on a reducing balance instalment plan over 24 months

Compare compound interest with the reducing balance plan

Write purchases as a matrix product, solve for prices, equal quantities

Triangle area gives a quadratic; solve and express a side as a surd

Modal class and mean of grouped distances; compare transport cost

Bearings sketch; angle, shortest distance to the road, angle via tangent

AP common difference, sum formula, number of terms for a given sum

Seventh term of a geometric progression

Construct 45° angle, perpendicular bisector, circle through three points, tangents

Water volume in a cuboid; rise from immersed spheres

Evaluate the water rise with logarithm tables

Alternate segment angles, equiangular triangles and a tangent length

Prove a triangle isosceles and a segment is a quarter of a side

Venn diagram for club members; add a disjoint third set