MATH 9 QUIZ BEE

1. Determine the correct formula for the tan ratio of B.

A) tan B = length of hypotenuse length of side opposite to B
B) tan B = length of side adjacent B length of the hypotenuse . tan B = length of side adjacent B length of the hypotenuse . tan B = length of side adjacent B
C) tan B = length of side opposite to B length of side adjacent to B
D) tan B = length of side opposite to B length of hypotenuse

2. In ∆ ABC , AB = 9 cm and BC = 11 cm. Determine the tangent ratio of ∠A to the nearest hundredths.

A) 0.64
B) 1.22
C) 0.73
D) 1.36

3. Which statement is incorrect?

A) You can solve for the unknown side in any triangle, if you know the lengths of the other two sides, by using the Pythagorean theorem.
B) The Pythagorean theorem applies to all right triangles.
C) The hypotenuse is the longest side in a right triangle.
D) The hypotenuse is always the opposite side of the 90° in a right triangle.

4. Which is equivalent to sec θ?

A) 1/secθ
B) 1/sin⁡θ
C) 1/tanθ
D) 1/cos⁡θ

5. The expression 2(sin 30°) – tan 45° is equal to

A) 1
B) 0
C) –1
D) 2

6. What is the standard form of the quadratic equation 3x(x – 3) = 7?

A) 3x² – 9x – 7 = 0
B) 3x² – 9x + 7 = 0
C) 3x² – 3x – 7 = 0
D) 3x² – 9x = 7

7. What is the simplified form of the equation shown in the picture?

A) -1/18
B) 1/18
C) 0
D) 18

8. Quadrilateral PAIR is an isosceles trapezoid with median QS. If ∠RIP = (2x + 2)°, ∠AIP = (x + 15)°, ∠RAP(4x − 10)°, what is ∠ IRP?

A) 145°
B) 66°
C) 56°
D) 82°

9. The given figure shows a parallelogram inside a rectangle. Determine the area inside a rectangle occupied by the parallelogram

A) 55 units²
B) 400 units²
C) 300 units²
D) 110 units²

10. What is the measure of each angle in a triangle whose angles have a ratio 5: 6: 7?

A) 20°, 60°, and 100°
B) 75°, 90°, and 105°
C) 50°, 60°, and 70°
D) 25°, 30°, and 35

11. In a flagpole, a 10 meter rope is attached to the top of the pole from a point on the field. If the rope is 8 meters away from the base, how high is the pole?

A) 6 meters
B) 12.81 meters
C) 4.24 meters
D) 1.41meters

12. Which of the following coordinates of points belong to the solution set of the inequality y<3x2 +3x-6?

A) (-1, 2)
B) (1, -2)
C) (-1,-1)
D) (-2, 7)

13. Find the value of sinZ in the triangle below?

A) sinZ = 6/10
B) sinZ = 3/4
C) sinZ = 3/5
D) sinZ = 4/5

14. The value of m varies inversely as n such that n = 12 when m = 9. Find m when n = 27?

A) 135
B) 4
C) 19
D) 129

15. P varies jointly as the square of w and inversely as t, when w=10, p=40, and t= 20. Given w=3, t=9 what is p?

A) 72
B) 3
C) 9
D) 8

16. Gina has a piece of wood whose area is 64 square centimeters. What is the length of the side of the largest square that can be formed using the wood?

A) 14
B) 32
C) 64
D) 8

17. An observer standing on the top of a vertical cliff spots a house in the adjacent valley at an angle of depression 120. The cliff is 60 meter tall. How far is the house from the base of the cliff?

A) 228
B) 822
C) 620
D) 282

18. A circular garden has a circumference of 18π meters. Determine the radius and area of the garden.

A) Radius= 8, Area: 36πm²
B) Radius= 12 , Area: 63πm²
C) Radius= 6 , Area: 18πm²
D) Radius= 9 , Area: 81πm²

19. A train leaves City A traveling at a speed of 60km/h. Another train leaves City B at the same time, traveling in the opposite direction at 80km/h. If the distance between the two cities is 500km, how long will it take for the train to meet?

A) 20/8 hours or 6hours and 44 minutes
B) 24/8 hours or 4hours and 54 minutes
C) 25/7 hours or 3hours and 34 minutes
D) 27/9 hours or 3.5 hours and 24 minutes

20. The length of a rectangle is 4 times its width. If the perimeter is 60cm, find the dimension of the rectangle.

A) W= 9cm and L= 27cm
B) W= 6cm and L= 24cm
C) W= 6cm and L= 32cm
D) W= 8cm and L= 24cm

21. A cylindrical tank has a radius of 5 meters. If the volume is 250π cubic meters, find the height of the tank.

A) h= 10 meters
B) h= 18 meters
C) h= 12 meters
D) h= 15 meters

22. The roots of a quadratic equation are -5 and 3. Which of the following quadratic equations has these roots?

A) x² + 8x + 15 = 0
B) x² – 8x + 15 = 0
C) x² – 2x – 15 = 0
D) x² + 2x – 15 = 0

23. If h varies jointly as j2 and i and inversely as g, and h = 50 when j = 2, i = 5, and g = 1/2, find h when j = 4 and i = 10, and g = 1/4

A) 805
B) 25
C) 100
D) 800

24. Luis walks 5 kilometers due east and 8 kilometers due north. How far is he from the starting point?

A) √39 km
B) √25 km
C) √89 km
D) √64 km

25. The diagonals of an isosceles trapezoid are represented by 4x – 47 and 2x + 31. What is the value of x?

A) 107
B) 39
C) 37
D) 109

26. A kite held by 125 m of string makes and angle of elevation with the ground of 450. About how high is the kite from the ground?

A) 75.1 m
B) 88.4 m
C) 62.8 m
D) 113.6 m

27. It is a polynomial equation of degree two that can be written in the form a x² + bx + c = 0, where a, b, and c are real numbers and a ≠ 0

A) Quadratic Inequality
B) Quadratic Equation
C) Linear Equation
D) Linear Inequality

28. Which among the following is a proportion?

A) 1/2= 3/4
B) 5/4=9/8
C) 18/10=25/45
D) 3/9=2/6

29. With respect to the given angle, what is the ratio of the hypotenuse to the opposite side?

A) Tangent
B) Cosine
C) Cosecant
D) Sine

30. What value of n will make the statement TRUE in c⁴/c⁴ =cⁿ

A) 1
B) 8
C) 0
D) 4

31. The square root of the sum of two consecutive integers is 7. Find the two integers

A) 3 and 4
B) 24 and 25
C) 17 and 18
D) 11 and 12

32. Rationalize and express in simplest radical form: (x- √2)/(x+ √2) .

A) 2 - √2
B) 3 - 2√2
C) (6- √2)/2
D) 6 + √2

33. Y varies directly as x and y = 32 when x = 4. Find the constant of variation.

A) 28
B) 128
C) 36
D) 8

34. The diagonals of an isosceles trapezoid are represented by 4x-47 and 2x + 31. What is the value of x?

A) 107
B) 39
C) 37
D) 109

35. The sides of a triangle are 2,3, and 4. Which of the following could be a triangle similar to that given triangle?

A) 6,9,16
B) 20, 30, 40
C) 5,6,7
D) 12,13,14

36. Which of the following could not be used to prove similarity between triangles ?

A) SSS Similarity
B) SAS Similarity
C) AA Similarity
D) SSA Similarity

37. Which among the statements is true about similar triangles?

A) The corresponding altitude of similar triangles are congruent.
B) The corresponding sides of similar triangles are proportional to their corresponding perimeters.
C) The corresponding angles of similar triangles are proportional.
D) The corresponding sides of similar triangles are proportional to their corresponding areas.

38. Which of the following represents 'y varies inversely to x'?

A) y = k/x
B) y=kx
C) x=ky
D) x=k/y

39. The amount of gasoline used by a car varies directly to its distance travelled and the square root of the speed. What kind of variation illustrates this statement?

A) Direct
B) Inverse
C) Combined
D) Joint

40. Which of the following is the most appropriate method to solve for the roots of quadratic equation 2.3x² + 1.5x-3.4 = 0 ?

A) Quadratic Formula
B) Factoring
C) Extracting the Square Root
D) Completing the Square

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