- 1. The two pictures have the same center C. Chord AD is tangent to the inner circle B, AC is 10, and chord AD has length 16. What is area between the two circles?
A) 60π
B) 72π
C) 63π
D) 50π
E) 64π
- 2. If there is a right triangle with a height of 40 cm and a base of 30 cm, then find the length of the hypotenuse! (Use meters)
A) 0,5 m
B) 5 m
C) 5 cm
D) 0,5 cm
E) 50 cm
- 3. A triangle is given which has a height, base and hypotenuse 5a, 4,5a and 11,5a, respectively. If the triangle has an area of 45 m, what is the length of the hypotenuse? (Use cm)
A) 23 m
B) 2 m
C) 230,0 cm
D) 2300 cm
E) 230 cm
- 4. In the figure ∠CAB = ∠ABE = ∠ACD = 44° and that ∠DEB = 2∠CDE. Find ∠CDE.
A) 17°
B) 32°
C) 48°
D) 44°
E) 16°
- 5. How many triangles are there?
A) 20
B) 30
C) 9
D) 35
E) 25
- 6. The interior angle of a regular polygon with n-sides is 7,5 times that of an exterior angle of a regular polygon with 1,5 n-sides. Find n.
A) 9
B) 10
C) 11
D) 12
E) 8
- 7. When a man went to visit a friend, he realized he had forgotten the apartment number. He does remember the apartment is on third floor where the apartments are numbered 300 through 399. He also knows the apartment number is an odd number and a multiple of 3 and 13. What is the correct apartment number?
A) 35,1
B) 351
C) 390
D) 312
E) 352
- 8. Each time the student did something helpful, Mrs Turner removed one jelly bean from container B and placed it in container A. If a student did something unhelpful she did the reverse. Container A had more jelly beans than container B. Mrs Turner took 3 jelly beans from container A and put them in container B. Then from container B she took 2 jelly beans to put in container A. Both container then had 8 jelly beans. How many jelly beans in container A at the beginning?
A) 11
B) 8
C) 5
D) 7
E) 9
- 9. The figure below consists of 2 overlapping circles and rectangle. The area of the overlapping parts is 150 cm square. Find the total area of the shaded parts! (Take π = 22/7)
A) 446 cm square
B) 1176 cm square
C) 150 cm square
D) 1082 cm square
E) 197 cm square
- 10. 3 cubes are stacked as shown. If the cubes have edge lengths 1, 2 and 3 as indicated, what is the length of AB?
A) 3√0,6
B) 3
C) 4√6
D) 3√6
E) 5√2
- 11. If x = 3, y = 2x, z = 3y, then the average of x, y & z is...
A) 4
B) 7
C) 9
D) 5
E) 0,9
- 12. The sum of 3 consecutive numbers is 174. The largest of the three numbers is...
A) 58
B) 57
C) 59
D) 51
E) 50
- 13. If 2n + 5 = 16, then the value of 2n-3 is...
A) 10
B) 11
C) 7
D) 8
E) 9
- 14. In the following sum, each X, Y & Z is represents a number. What is the result of X + Y + Z?
A) 23
B) 11
C) 14
D) 15
E) 10
- 15. If a, b, c are positive integers with a x b = 13, b x c = 52 and c x a = 4, determine the result of (a x b x c) + (a x b x c)
A) 52
B) 69
C) 104
D) 50
E) 138
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