WMI Final Competition〈Example〉
◎Q1~Q20 3 points for each question.The total is 60 points.
1. In the following set of numbers, which two numbers are not coprime？
(A) 21 and 65
(B) 48 and 77
(C) 51 and 85
(D) 68 and 91
2. 4
11
：4.5 Turns the simplest integer ratio, the result is□：△，□＋△＝？
26
(A) 223
(B) 227
(C) 230
(D) 232
3. a、b、c Positive integer sequences is a surname, and a×b×c＝1365，a＋b
＋c How much is the maximum value？
(A) 99
(B) 279
(C) 459
(D) 519
8
2
9
4. Compute4 ÷2 ×1 ＝？
11
3
13
3
2
10
(C) 3
(D) 2
(A) 3
(B)
2
11
13
5. A and B is proportional to the number, when the number was at 10 o'clock, B
is 15, when B is at 18 o'clock, the number？
(A) 12
(B) 15
(C) 18
(D) 27
6. Figure is the approximate circumference of a
circle to the right a couple of centimeters?
(Calculation of PI to 3.14, and rounding the
result to get to the whole number)
(A) 57
(B) 79
(C) 113
(D) 157 (cm)
25cm
7cm
7. Danny held a rope around a cylinder, use just the 2 circle, long known rope
219.8 cm large cylinder diameters are how many centimeters? (Calculation
of PI to 3.14)
(A) 70
(B) 65
(C) 45
(D) 35 (cm)
Grade 6 Logical Reasoning Test
8. The scale
the scale
(A) 3.6
1
On the map, the distance A, B two towns is 12 cm, then
2500
1
On the map, the distances a, b two towns a few entimeters？
750
(B) 4
(C) 36
(D) 40 (cm)
9. Which of the following graphic of area the smallest?
(A) round 6 cm in diameter
(B) 6 cm, height 6 cm by the end of the triangle
(C) squares of side length 5 cm
(D) 90, center point, RADIUS 6 cm fan
10. As the right figure, a figure known to be
1.5 times zoom, line AD Chinese Vice
is 9cm segment, BC is 6cm, corner D
are Chinese Vice-, segment EH is △cm,
□＋△＝？
(A) 89
(B) 91 (C) 93
(D) 94
11. Right triangle ABC is triangle ADE 4 times zoom,
shaded area in the figure is 2.4 square meters,
the area of the triangle ADE is？
(A) 1500
(B) 1600
2
(C) 6000
(D) 8000 (cm )
12. Have a three-digit, hundreds digit is 5, it is also a common multiple of 18
and 21, the three-digit decimal number with digit and how much？
(A) 4
(B) 7
(C) 11
(D) 15
13. A round flower bed, grow a Christmas tree in the perimeter every 2.75
meters red total kinds of 26 trees is enough; If changed to plant another tree
every 3.25 meters red, to prepare for a total number of？
(A) 24
(B) 23
(C) 22
(D) 21
※Please turn over page to complete the other questions
14. Known weight is proportional to the length of the return of Ben; when the
warlord 0.36 cm long, and weighs 45 grams, then when it becomes when
the 68-meter-long, how many kilograms？
(A) 85
(B) 850
(C) 8500
(D) 850000 (kilograms)
15. Figure out the shaded area on the right.
(Calculation of PI to 3.14)
(A) 286
(B) 293
2
(C) 307
(D) 314 (cm )
16. Mercy county elections Chief, Bruno, Jennifer, Nancy three candidates, vote
tabulation as: invalid votes to 110, with valid votes in 1980, known Bruno,
Jennifer 4:7, the ratio of the number of votes for, Bruno, Nancy fewer votes
than for 6:11, who was elected village chief? number of votes?
(A) elected Jabbar, 792 votes
(B) Jabbar was elected, 836 votes
(C) NAMI election, 792 votes
(D) NAMI election 836 votes
17.
1
7
÷0.875×11 ＝？
20
4
5
7
9
(A)
(B)
(C)
2
2
2
(D)
11
2
18. Draw a rectangular vegetable garden in miniature in scale for 1:150, than
with the scale of the following 1:150 the same?
(A) the thumbnail width: miniature length
(B) actual width: actual length
(C) perimeter of a miniature: the actual perimeter
(D) thumbnail size: actual size
19. Following a variety of what value is represented by the a-Max？
1
1
1
3
2
1
3
(A) 5 ＋□× ＝6
(B) 8 ÷□＋ ×1 ＝3
3
4
5
7
3
5
4
2
3
1
6
3
1
(C) 21×4＋(6－□)×1 ＝90
(D) 12 ÷(5 －□)－3 ＝1
3
7
3
7
5
3
20. John and Dan has written 10 math problems, Ah Bao spent 15 minutes
old spent 5 minutes more than the treasure, Ah Bao's rate for old times？
2
3
4
3
(A)
(B)
(C)
(D)
4
3
2
3
◎Q21~Q30 4 points for each question.The total is 40 points.
21. As the figure showed on the right,what is the
difference of surface between cylinder A and
B？(Calcnlation of PI is 3.14)
(A) 314
(B) 157
(C) 78.5
A
B
2
(D) 62.8 (cm )
22. A hollow cylindrical pipe 7.5 meters long, bottom RADIUS 12 cm, pipe
thickness of 2 cm, how does this the volume of water is how many cubic
cm? (Calculation of PI to 3.14)
(A) 235500
(B) 84780
3
(C) 339120
(D) 103620 (cm )
23. Stereo graphic the amount of surface area on the right
side? (Calculation of PI to 3.14)
(A) 434.65
(B) 443.65
2
(C) 359.4
(D) 395.4 (cm )
24. The cards are arranged in the following graphic, from 1th card No. 400
card, graphics card has ○？
☆◆◆○○▼◇◇◎★△△☆◆◆○○▼◇◇◎★△△……
(A) 65
(B) 66
(C) 67
(D) 68
25. The right picture, the quadrilateral ABCD, grey area is
4
a blank section area; in round a, grey area and the
25
entire a area of more than 1:4, then the blank part of
the quadrilateral ABCD with a blank portion of the area
than the number？
(A) 12：25
(B) 16：29
(C) 25：12
(D) 29：16
26. Jessica exercise time and consumption of heat Calory
on the right diagram, Yanhua movement can
(Cal)
consume p calories 80 minutes, trying to
consume 1200 calories, needed Sports Q
hours, P＋Q=？
(A) 642.5
(B) 722.5
(C) 790
(D) 870
time(minute)
27. A cylinder weight ○ grams and a cube weighs □ grams.If the weight of
12 cylinders equals to the weight of 16 cubes,then the equivalence of
○÷12 is？
(A) □×9
(B) □÷9
(C) □×16
(D) □÷16
a
b
c
、 、
three minimalist scores, and the product of these three
10 12 21
1
fractions is ，then a＋c－b＝？
2
28. Given
(A) 19
(B) 18
(C) 22
(D) 21
29. A project, Daniel separate required 24 hours, Bill takes 36 hours alone, if
methyl ethyl to succeed in 1 hour-1 hour, then succeeded by methyl ethyl
1 hour,... ..., the two work, will complete the works a total of the number of
hours？
(A) 14
2
3
(B) 26
2
3
(C) 28
2
3
(D) 30 (hours)
30. Jackyson in the 540-meter-long ring ran a lap on the track, known to half
time before he ran 4 feet per second, half the time after running 5-meter per
second, you are halfway before Jackyson how much seconds？
(A) 54
(B) 56
(C) 64
(D) 66 (seconds)