ප්‍රශ්න 31ම, එක් එක් ප්‍රශ්නය පරීක්ෂා කරන දේ සමඟ. ඕනෑම එකක් ගෙදර සර් තුළ නොමිලේ උත්සාහ කර ඔබේ පිළිතුර පරීක්ෂා කරන්න.
Choose the closest approximation of a square root
(ii) 3.2
💡 ප්‍රශ්නයේ අදහස: 10 කුමන වර්ග දෙක අතරදැයි සොයා, විකල්ප වර්ග කර 10 ට ළඟම එක තෝරන්න.
- 9 < 10 < 16 නිසා √10, 3 සහ 4 අතර, 3 ට ටිකක් වැඩියි.
- විකල්ප වර්ග කරන්න: 3.1² = 9.61, 3.2² = 10.24.
- 10.24, 10 සිට 0.24 දුරින්; 9.61, 0.39 දුරින්.
- 3.2 ළඟයි: (ii) 3.2 තෝරන්න.
✅ 3.2 × 3.2 = 10.24, 10 ට ටිකක් වැඩියි. ✓
Working in English
Find which squares 10 lies between, then square the choices to see which lands closest to 10.
- 9 < 10 < 16, so √10 is between 3 and 4, a little more than 3.
- Square the choices: 3.1² = 9.61 and 3.2² = 10.24.
- 10.24 is 0.24 away from 10; 9.61 is 0.39 away.
- 3.2 is closer: choose (ii) 3.2.
Radius of a sector from its arc length and perimeter
r = 7 cm
💡 ප්‍රශ්නයේ අදහස: කේන්ද්‍රික ඛණ්ඩයක පරිමිතිය = චාපය + අරය දෙක. චාපය අඩු කර ඉතිරිය අඩ කරන්න.
- පරිමිතිය = r + r + චාපය = 2r + 11.
- 11 අඩු කරන්න: 2r + 11 = 25; 2r = 14.
- ඒ නිසා r = 7 cm.
✅ පරිමිතිය පරීක්ෂා කරන්න: 7 + 7 + 11 = 25 cm. ✓
Working in English
A sector's perimeter is the arc plus two radii. Take away the arc and halve what's left.
- Perimeter = r + r + arc = 2r + 11.
- 2r + 11 = 25, so 2r = 14.
- r = 7 cm.
LCM of two algebraic terms
Angle from the angle sum of a triangle with algebraic angles
Quarterly rates from assessed value and annual rate
Distance travelled in minutes at a speed in km/h
Least integer satisfying a linear inequality
Exterior angle of a triangle from interior opposite angles
Probability of the complementary event when drawing a ball
Fill missing terms in the expansion of a binomial square
Angle using an equilateral triangle and an adjacent isosceles triangle
True/false on mode, median and range of a small data set
Name a congruent triangle pair and the congruency case
Area of a sector as a fraction of a circle's area
Solve a quadratic equation given in factorised form
Write the set notation for a shaded Venn region
වර්ගඵලය · සමාන්තරාස්‍ර IIArea of a trapezium inside a triangle split by parallel lines
Find an unknown base by converting a logarithm to index form
Substitute into a formula to find another variable
Reflex-shaped (arrowhead) figure angle using exterior angle results
Time to empty a tank at a constant rate
Gradient and intercept of a line through two points
Show two quadrilaterals have equal area from equal triangle areas
Extra workers needed to finish a job sooner
Locate a point on a circular locus equidistant from two lines
Fractions of money spent over days; find the original amount
Arc length and perimeter of a composite plate; spacing of nails
-0.jpg)
Area of a sector attached to a square
-0.jpg)
Read a pie chart: mode, counts from angles, ratio, total
Customs duty, marked price with profit, and VAT rate
List a set, fill a Venn diagram, find set counts and a probability
