Math RBA

2. A 20.0 m by 15.0 m field to nearest tenth of a metre has maximum area ___ square metres.
5. A square and a circle have equal perimeters. If the circle’s radius is seven, each side of the square is ___ units.
7. Solve for x: 2^(3x−1)=16.
11. A triangle has area twenty-four and base eight. To keep the same area if the base is doubled, its height must be ___ units.
12. A right triangle has legs nine and twelve. Its hypotenuse is ___ units.
13. Solve for x: 9^(x+1)=81^(2x−1).
14. A person runs at twelve kilometres per hour for forty-five minutes. Distance run in metres is ___.
15. Each side of an equilateral triangle is six. The area of the region inside its circumcircle but outside the triangle is ___ square units.
23. 9865 to three significant figures is ___.
26. Simplify (4⁻² × 8³) ÷ 2⁵.
27. A regular hexagon inscribed in a circle of radius ten has area ___ square units.
28. A phone of price twenty-five-thousand is discounted by twenty percent. Sale price is ___ rupees.

1. The area of an equilateral triangle of side ten is ___ square units.
3. A regular pentagon has each interior angle measuring ___ degrees.
4. 0.000482 in standard form is ___.
6. Measured length of sixty-four millimetres to nearest millimetre can be between ___ and ___.
8. Consecutive integers whose product is fifty-six are ___ and ___.
9. Simplify (3⁵ × 3⁻²) ÷ 3⁻³.
10. A circle of radius seven is inscribed in a square. The area outside the circle but inside the square is ___ square units.
16. A train from eight-thirty a.m. to five-fifteen p.m. travels for ___ hours.
17. The sum of interior angles of a decagon is ___ degrees.
18. Simplify √50 + 3√8 − 2√18.
19. If flour, sugar, butter are in ratio 4:2:1 and total mass 315 g, amount of sugar is ___ grams.
20. A rhombus has diagonals of twelve and sixteen. Its perimeter is ___ units.
21. Value of k for which x² + kx + 9 = 0 has equal roots.
22. If x² − 10x + 21=0, then the sum of roots is ___.
24. Compound interest on ten-thousand for two years at ten percent per annum is ___ rupees.
25. Roots of x² − 5x + 6 = 0 are ___ and ___.