SS1 Further Maths Second Term Examination

Part A

Objectives

1. A linear inequality has a degree of ____. a) 1 b) 2 c) 3 d) 0
2. In a linear inequality, the sign ≤ represents ____. a) less than b) greater than c) less than or equal to d) greater than or equal to
3. The solution to a linear inequality is represented on a number line using ____. a) circles b) squares c) arrows d) crosses
4. In mapping, each element in the domain is paired with exactly ____ element(s) in the range. a) one b) two c) three d) four
5. A function assigns exactly one ____ for each element in the domain. a) range b) value c) variable d) function
6. The x-intercepts of a quadratic equation are also known as its ____. a) roots b) maximum points c) minimum points d) turning points
7. The quadratic formula is used to find the ____ of a quadratic equation. a) roots b) coefficients c) discriminants d) inequalities
8. In trigonometry, sin(x) = opposite/hypotenuse in a ____ triangle. a) right-angled b) isosceles c) equilateral d) obtuse
9. The tangent of an angle in a right-angled triangle is equal to ____ divided by ____. a) opposite, adjacent b) hypotenuse, adjacent c) adjacent, hypotenuse d) opposite, hypotenuse
10. The reciprocal of sin(x) is ____. a) cos(x) b) tan(x) c) sec(x) d) csc(x)
11. The formation of a quadratic equation involves the use of ____. a) two variables b) one variable c) three variables d) no variables
12. The solution set of a linear inequality is usually expressed using ____ notation. a) set b) fraction c) decimal d) mixed number
13. In mapping, a function can be represented as a set of ____. a) ordered pairs b) fractions c) decimals d) percentages
14. The discriminant of a quadratic equation is found using the formula ____. a) b^2 – 4ac b) 4ab – c^2 c) a^2 + b^2 – c^2 d) b^2 + 4ac
15. The range of a function is the set of ____ values. a) x b) y c) z d) w
16. The roots of a quadratic equation can be ____ or ____. a) real, imaginary b) positive, negative c) whole numbers, fractions d) integers, decimals
17. A linear inequality is represented graphically by shading the region ____ the boundary line. a) above b) below c) left of d) right of
18. In trigonometry, cos(x) = ____/hypotenuse in a right-angled triangle. a) adjacent b) opposite c) hypotenuse d) tangent
19. The standard form of a quadratic equation is ____. a) ax^2 + bx + c = 0 b) x^2 + y^2 = r^2 c) y = mx + c d) y = ax^2 + bx + c
20. The reciprocal of cos(x) is ____. a) sin(x) b) tan(x) c) sec(x) d) csc(x)
21. The maximum number of solutions for a linear inequality is ____. a) one b) two c) infinite d) zero
22. The domain of a function consists of all possible ____ values. a) x b) y c) z d) w
23. A quadratic equation can have ____ real roots. a) one b) two c) three d) none
24. The ratio of tan(x) to sin(x) is ____. a) adjacent/opposite b) opposite/adjacent c) opposite/hypotenuse d) hypotenuse/adjacent
25. The discriminant of a quadratic equation determines the nature of its ____. a) roots b) coefficients c) domain d) range
26. The range of a quadratic function that opens upward is ____. a) all real numbers b) only positive numbers c) only negative numbers d) zero
27. A linear inequality is solved by identifying the ____ region on a graph. a) shaded b) unshaded c) intersecting d) parallel
28. The angle of elevation is measured ____ the horizontal line of sight. a) above b) below c) parallel to d) perpendicular to
29. The roots of a quadratic equation can be found using the ____ formula. a) linear b) quadratic c) discriminant d) trigonometric
30. In mapping, a function is represented using ____ notation. a) set b) decimal c) fraction d) percent

SS 1 FIRST TERM LESSON NOTE FURTHER MATHEMATICS

Part B

Theory

1. Define a linear inequality and give an example.
2. Explain what mapping is and why it is used in mathematics.
3. Describe how to form a quadratic equation from given roots.
4. What are the primary trigonometric ratios, and how are they defined?
5. Explain the difference between a linear equation and a linear inequality.
6. Define a function and explain its importance in mathematics.
7. How do you determine the discriminant of a quadratic equation?
8. Describe the process of solving a linear inequality graphically.
9. What is the significance of the vertex in a quadratic function?
10. How do you determine the range of a function?
11. Explain how to find the roots of a quadratic equation using the quadratic formula.
12. Describe the relationship between the angle of elevation and trigonometric ratios.
13. What are the conditions for a system of linear inequalities to have a solution?
14. How do you identify the domain of a function?
15. Explain the concept of reciprocal trigonometric ratios.
16. Describe how to graph a linear inequality on a coordinate plane.
17. What is the difference between the domain and range of a function?
18. Explain how to find the equation of a quadratic function given its vertex and another point.
19. Describe the properties of the discriminant in quadratic equations.
20. How do you determine whether a quadratic function opens upward or downward from its equation?

MID TERM TEST FIRST TERM FURTHER MATHS SS 2

Part C

Fill in the gaps