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This section includes 259 Mcqs, each offering curated multiple-choice questions to sharpen your Grade10 knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Any value of the variable which makes the equation a true statement is called the |
| A. | formula |
| B. | solution |
| C. | fraction |
| D. | transposition |
| Answer» C. fraction | |
| 2. |
| 5 | should be equal to |
| A. | 5 |
| B. | −5 |
| C. | 0 |
| D. | 1 ⁄ 5 |
| Answer» B. −5 | |
| 3. |
A statement in which sign of equality “ = ” is used to link two algebraic expressions is called |
| A. | formula |
| B. | equation |
| C. | fraction |
| D. | matrix |
| Answer» C. fraction | |
| 4. |
An equation which contains the square of the unknown variable quantity, but no higher power is called |
| A. | quadratic equation |
| B. | linear equation |
| C. | simple equation complex equation |
| D. | complex equation |
| Answer» B. linear equation | |
| 5. |
If b² - 4ac > 0, then roots of ax² + bx + c = 0 are |
| A. | irrational |
| B. | real |
| C. | equal |
| D. | rational |
| Answer» C. equal | |
| 6. |
The solution set of equation x² - 4 = 0 is |
| A. | {±4} |
| B. | {4} |
| C. | {±2} |
| D. | {2} |
| Answer» D. {2} | |
| 7. |
If b² - 4ac > 0, and not a perfect square then roots of ax² + bx + c = 0 are |
| A. | imaginary |
| B. | rational |
| C. | equal |
| D. | irrational |
| Answer» E. | |
| 8. |
Roots of the equation 9x² - 9x + 1 = 0 are |
| A. | real, equal |
| B. | real, unequal |
| C. | imaginary |
| D. | irrational |
| Answer» B. real, unequal | |
| 9. |
If X = {1, 2, 3, 4, 5} and Y = {2, 4, 5, 6, 8} then X - Y equals to |
| A. | {6, 8} |
| B. | {1, 3} |
| C. | {4, 5} |
| D. | {1, 6} |
| Answer» C. {4, 5} | |
| 10. |
If A = {2, 3, 4, 5, 6} and B = {4, 5, 6, 7} then A∩B should be |
| A. | {2, 3, 4, 5, 6, 7} |
| B. | {4, 5, 6, 7} |
| C. | {4, 5, 6} |
| D. | {0} |
| Answer» D. {0} | |
| 11. |
In algebra, we use alphabets such as a, b, c to denote |
| A. | operational signs |
| B. | constants |
| C. | any numerical value |
| D. | polynomial |
| Answer» C. any numerical value | |
| 12. |
An irrational number that contains a radical sign is known as |
| A. | fraction |
| B. | mode |
| C. | surd |
| D. | variable |
| Answer» D. variable | |
| 13. |
Skew symmetric matrix is also called |
| A. | symmetric |
| B. | identical matrix |
| C. | square matrix |
| D. | anti symmetric |
| Answer» E. | |
| 14. |
Angles that sum up to 180° are known as |
| A. | complementary angles |
| B. | reflective angles |
| C. | supplementary angles |
| D. | vertical angles |
| Answer» D. vertical angles | |
| 15. |
In terms of radius, a diameter is equals to |
| A. | 2 + r |
| B. | 2r |
| C. | r ⁄ 2 |
| D. | 2 ⁄ r |
| Answer» C. r ⁄ 2 | |
| 16. |
A polygon having 5 sides is called |
| A. | pentagon |
| B. | hexagon |
| C. | nonagon |
| D. | decagon |
| Answer» B. hexagon | |
| 17. |
A line from the center to the circumference of a circle is known as |
| A. | diameter |
| B. | radius |
| C. | area |
| D. | midpoint |
| Answer» C. area | |
| 18. |
A system of equations having a common solution is called a system of |
| A. | CGS system |
| B. | MKS system |
| C. | simultaneous equations |
| D. | hyperbolic equations |
| Answer» D. hyperbolic equations | |
| 19. |
When a circle is drawn through its four vertices, a quadrilateral is said to be |
| A. | non-cyclic |
| B. | cyclic |
| C. | collinear |
| D. | non-collinear |
| Answer» C. collinear | |
| 20. |
The quotient of two numbers or algebraic expressions is called a |
| A. | proportion |
| B. | ratio |
| C. | fraction |
| D. | variation |
| Answer» D. variation | |
| 21. |
Two chords of a circle which are equidistant from the center are |
| A. | collinear |
| B. | non-collinear |
| C. | non-congruent |
| D. | congruent |
| Answer» E. | |
| 22. |
A line segment determined by the center and a point on the circle is called |
| A. | radial segment |
| B. | diameter |
| C. | chord |
| D. | radius |
| Answer» B. diameter | |
| 23. |
Factorization of x4 + 4 is equal to |
| A. | (x² + 2 + 2x)(x² + 2 + 2x) |
| B. | (x² + 2 + 2x)(x² + 2 - 2x) |
| C. | (x² + 2 + 4x)(x² + 2 - 4x) |
| D. | (x² + 2 + x)(x² + 2 - x) |
| Answer» C. (x² + 2 + 4x)(x² + 2 - 4x) | |
| 24. |
A polynomial of degree ‘1’ is called |
| A. | zero polynomial |
| B. | cubic polynomial |
| C. | linear polynomial |
| D. | quadratic polynomial |
| Answer» D. quadratic polynomial | |
| 25. |
The exterior angles of any polygon sum up to |
| A. | 90° |
| B. | 180° |
| C. | 270° |
| D. | 360° |
| Answer» E. | |
| 26. |
A line going through the midpoint from one side to the other side of a circle is called |
| A. | angle |
| B. | area |
| C. | radius |
| D. | diameter |
| Answer» E. | |
| 27. |
Area of a rectangle with base ‘b’ and height ‘h’ is measured by |
| A. | b × h |
| B. | b + h |
| C. | b ⁄ h |
| D. | h ⁄ b |
| Answer» B. b + h | |
| 28. |
Perimeter of a rectangle with base ‘b’ and height ‘h’ is measured by |
| A. | 2 × b ⁄ h |
| B. | 2(h + b) |
| C. | 2(b - h) |
| D. | 2(h - b) |
| Answer» C. 2(b - h) | |
| 29. |
According to theorem of Invertendo, if a : b = c : d then |
| A. | b : a = d : c |
| B. | a : c = b : d |
| C. | a : d = b : c |
| D. | a + b = c + d |
| Answer» B. a : c = b : d | |
| 30. |
The types of variations are |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 4 |
| Answer» C. 3 | |
| 31. |
If u²∝1 ⁄ v³ then the value of u² should be |
| A. | k ⁄ v³ |
| B. | 1 ⁄ v³ |
| C. | v² |
| D. | kv³ |
| Answer» B. 1 ⁄ v³ | |
| 32. |
The set of all the ordered pair (x, y) which satisfies the system of equations is called |
| A. | solution set |
| B. | null set |
| C. | complex set |
| D. | subset |
| Answer» B. null set | |
| 33. |
The angle subtended between any two chords of a circle, having common point on its circumference is called |
| A. | circumangle |
| B. | right angle |
| C. | supplementary angle |
| D. | complementary angle |
| Answer» B. right angle | |
| 34. |
The opposite angles of any quadrilateral inscribed in a circle are |
| A. | tangent |
| B. | supplementary |
| C. | complementary |
| D. | reflective |
| Answer» C. complementary | |
| 35. |
The locus of a point in a plane equidistant from a fixed point is known as |
| A. | triangle |
| B. | rectangle |
| C. | hexagon |
| D. | circle |
| Answer» E. | |
| 36. |
The two straight lines in the same plane which never meet are called |
| A. | angles |
| B. | transversal lines |
| C. | vertex |
| D. | parallel lines |
| Answer» E. | |
| 37. |
If three quantities a, b and c are related as a : b : : b : c, then c is called |
| A. | third proportional |
| B. | fourth proportional |
| C. | mean proportional |
| D. | continued proportional |
| Answer» B. fourth proportional | |
| 38. |
If 3 quantities a, b and c are related as a : b : : b : c, then b is called |
| A. | third proportional |
| B. | fourth proportional |
| C. | mean proportional |
| D. | continued proportional |
| Answer» D. continued proportional | |
| 39. |
The value of fourth proportional to 5, 8, 15 should be |
| A. | 21 |
| B. | 22 |
| C. | 24 |
| D. | 26 |
| Answer» D. 26 | |
| 40. |
The value of mean proportional to 20, 45 should be |
| A. | ±30 |
| B. | −30 |
| C. | −900 |
| D. | ±900 |
| Answer» B. −30 | |
| 41. |
The order of matrix [2 3] is |
| A. | 2 - by - 1 |
| B. | 2 - by - 2 |
| C. | 1 - by - 2 |
| D. | 1 - by - 1 |
| Answer» D. 1 - by - 1 | |
| 42. |
The unit of ratio is |
| A. | cm |
| B. | inches |
| C. | no unit |
| D. | radians |
| Answer» D. radians | |
| 43. |
According to theorem of alternando if a : b = c : d then |
| A. | b : a = d : c |
| B. | a : c = b : d |
| C. | a : d = b : c |
| D. | a + b = c + d |
| Answer» C. a : d = b : c | |
| 44. |
An equation involving only a linear polynomial is called a |
| A. | linear equation |
| B. | quadratic equation |
| C. | simultaneous equation |
| D. | in-equal equation |
| Answer» B. quadratic equation | |
| 45. |
Any new equation obtained by raising both members of an equation to the same power may have solutions is called |
| A. | extraneous solutions |
| B. | absolute value |
| C. | radical signs |
| D. | simultaneous equation |
| Answer» B. absolute value | |
| 46. |
If x = 0 then | x | is equal to |
| A. | x |
| B. | 0 |
| C. | 1 |
| D. | −x |
| Answer» C. 1 | |
| 47. |
The functions in which roots involved are such that the value of the expressions remain unaltered, when they are interchanged are called |
| A. | A - symmetric functions |
| B. | symmetric functions |
| C. | hyperbolic functions |
| D. | synthetic function |
| Answer» C. hyperbolic functions | |
| 48. |
An expression of the form N(x) ⁄ D(x), where N and D are polynomial in x with real coefficients and D(x) not equal to zero is called |
| A. | proper fraction |
| B. | rational fraction |
| C. | irrational fraction |
| D. | improper fraction |
| Answer» C. irrational fraction | |
| 49. |
The process of finding the quotient and remainder, when a polynomial is divided by a linear polynomial is known as |
| A. | synthetic division |
| B. | symmetric division |
| C. | non-synthetic division |
| D. | extraneous division |
| Answer» B. symmetric division | |
| 50. |
The product of the roots of ax² + bx + c = 0 is |
| A. | αβ = a ⁄ c |
| B. | αβ = −a ⁄ c |
| C. | αβ = b ⁄ a |
| D. | αβ = c ⁄ a |
| Answer» E. | |