Five Points Each. Total 150 Points. Choose the best answer from (A) – (D).
1. Which of the following numbers can can be inserted into □ to make make 572068 < 5720 □9 a true expression?
(A) 0
(B) 4
(C) 5
(D) 7
2. Which of the following pairs of operations can be inserted into the pair of □ to make 6□(6□6)＝6 (A) +, +
a true expression?
(B) –, +
(C) ×, ×
(D) ÷, ÷
5 7 2 －1－□＝ , what is □? 9 9 2 7 2 7 (A) (B) (C) 1 (D) 1 9 9 9 9
3. If
4. Given a square with side length of 8 centimeters:
If its side is is lengthened lengthened by a
factor of 6, by what factor does its area increase? (A) 6
(B) 8
(C) 36
(D) 64
5. Locations A and and B are 12 1 2 kilometers and 35 meters apart. Eliot walks from A toward B for 5048 meters and Dale walks from B toward A for 8 kilometers kilometers and 24 meters, How far apart are they at that time? (A) 921 meters
(B) 938 meters
(C) 1018 meters
(D) 1037 meters
6. Which one of the following figures must have its main diagonals perpendicular to each other? (A) Rhombus(Diamond)
(B) Parallelogram
(C) Trapezoid Trapezoid
(D) Rectangle
7. Last year's revenue for a company is 4 billion and 938.5 million dollars. If its revenue for this year has been reduced by 326.4 million dollars, what is its revenue this year? (A) 4 billion and 268.5 million dollars
(B) 4 billion and 612.1 million dollars
(C) 3 billion and 789.2 million dollars
(D) 3 billion and 854.1 million dollars 2015 Final
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8. If Cindy has just enough money to buy 15 pencils that cost $15 each, how many pens can she buy instead with that same money if each pen costs $25? (A) 7
(B) 8
(C) 9
(D) 10
2 meters is sawed off from a water pipe, the remaining pipe can be 11 6 separated into 3 equal length sections with each section meter long, what is 11 the original length of this water pipe?
9. If 1
(A) 2
2 11
(B) 2
9 11
(C) 2
10 11
(D) 3
2 11
10. How many pieces of rope of 160 centimeters long are needed to enclose a square of area 100 square meters? (A) 8
(B) 16
(C) 25
(D) 32
11. Street lamps are installed on both sides of a straight road of 1 kilometer and 32 meters long. There are no lamps at the beginning or the end of the road and the first lamp is installed 8 meters from the beginning of the road. If each neighboring pair of lamps is 8 meters apart, what is the total number of street lamps installed on this road? (A) 127
(B) 128
(C) 254
(D) 256
12. The base angles of an isosceles triangle cannot be which one of the following angles? (A) 30°
(B) 60°
(C) 90°
(D) 45°
13. How many distinct 4–digit even numbers can be created using the digits 0, 1, 2 , 3, and 4? (A) 60
(B) 72
(C) 96
(D) 54
14. 100×9 – 99×9＋98×9 – 97×9＋……＋2×9 – 9＝? (A) 900
(B) 450
(C) 100
(D) 50
2 6 meter and a rabbit can jump meter. 7 7 a frog and rabbit each jump 6 times one after the other, what is the total combined distance they will have jumped?
15. In a single jump, a frog can jump
(A) 5
2
4 7
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(B) 5
6 7
(C) 6
4 7
(D) 6
6 7
If
16. If the length of each side of a square increases by 2 centimeters, then the perimeter of this square will be increased by how many centimeters? (A) 2
(B) 4
(C) 8
(D) 16
17. Dick is joining a 10 kilometer race. He runs at a constant speed of 265 meters per minute. Sixteen minutes after he begins the race, how far away is he from the end point? (A) 5 kilometers and 440 meters
(B) 5 kilometers and 760 meters
(C) 4 kilometers and 240 meters
(D) 4 kilometers and 120 meters
18. Carl uses 1 cm3 wooden blocks to build a solid. The first layer used 28 blocks, the second layer used 15 blocks, and the third layer used 12 blocks. What is the volume of this solid? (A) 53 cm3
(B) 55 cm3
(C) 57 cm3
(D) 59 cm3
19. If buying 3 table lamps and 1 adapter cost $36 and buying 1 table lamp and 3 adapters cost $28, how much does it cost to buy 1 table lamp and 1 adapter? (A) $12
(B) $20
(C) $25
(D) $16
20. Suppose there are 42 street lamps set up on one side of a street that is 1722 meters long. If there are street lamps set up on both ends of the street and each pair of neighboring lamps is the same distance apart, what is that common distance between any two neighboring street lamps? (A) 41
(B) 42
(C) 43
(D) 44
21. If the product of the numerator and denominator of a proper fraction in simplest form is 24, what is the maximum possible sum of its numerator and denominator? (A) 25
(B) 14
(C) 13
(D) 11
22. Given two figures with the first figure a rectangle of width 16 meters and second figure a square of side length of 21 meters. If these two figures have the same perimeter, what is the difference between their areas? (A) 40 m2
(B) 35 m2
(C) 30 m2
(D) 25 m2
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23. A community sends out 8 workers to clean a street of 3 kilometers long. If the last worker can clean 200 meters more street than each of the other 7 workers, what length of the street did the last worker clean? (A) 500 meters
(B) 550 meters
(C) 600 meters
(D) 650 meters
24. A mini–cabinet has two drawers of equal volume. If the combined volume of these two drawers is 120 cubic centimeters and the upper drawer can be filled exactly by 5 identical size match boxes, what is the volume of each match box? (A) 6 cm3
(B) 8 cm3
(C) 10 cm3
(D) 12 cm3
25. Given a sequence of numbers: 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 3, 4, 5¸ 6, 7, 4, 5, 6, 7, 8, …. Following this pattern, what is the 2015th number in this sequence? (A) 404
(B) 405
(C) 406
(D) 407
26. Suppose 104 is added to a number. 104.
Multiply this result by 104, then subtract
Finally, divide the last result by 104. If the final result is still 104, find
this number. (A) 1
(B) 10
(C) 62
(D) 104
27. Given a fraction in simplest form. If its numerator is subtracted 1, then this new numerator is 3 less than the original denominator. If the original denominator is added 1, then the new fraction formed by the original numerator and new 5 denominator becomes . Find the original numerator. 6 (A) 17
(B) 15
(C) 14
(D) 12
28. Duane used 4 identical non–overlapping strips of paper of 12 centimeters long and 1 centimeter wide to enclose a square as shown in the right. How large is the white area inside this square? (A) 121 cm2
(B) 118 cm2
(C) 115 cm2
(D) 113 cm2
29. A certain month has three Mondays whose dates of the month are even numbers. Which day of the week is the first day of that month? (A) Sunday
(B) Monday
(C) Tuesday
(D) Wednesday
30. What is the smallest number of identical matches needed to form 6 identical triangles if the matches cannot be bent or broken? (A) 18 4
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(B) 13
(C) 12
(D) 10
