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Ten Points Each. Total 150 Points.
1. Compute: (1) 15+16+17+18+19+20=(
).
(2) 32+5+18+21+45+19=(
).
2. Indicate the time shown on the left left clock. Draw the the hour and and minute hands on the right clock to show the time 2 hours and 40 minutes later from the left clock. 2 hours and 40 minutes
later
(
) Hours (
) Minutes
(
) Hours (
3. If all the digits of a 3–digit number are odd numbers and
) Minutes
(hundreds digit) +
(tens digit) + (units digit) = 9, how many of such kind of 3–digit numbers are there?
4. The left three figures below have patterns that represent represent numbers numbers 65, 34, and 53 (not be in this order), draw the pattern on the 4th blank figure so that it represents the number 54 according to the patterns of the left three figures.
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5. Four speed boats are competing in a speed contest and the results are as followed: (1) #4 boat is faster than #1 boat, (2) #3 boat is faster than #4 boat, (3) #2 boat is slower than #4 boat, (4) #1 boat is slower than #2 boat. Using ">" signs to indicate their relative speeds.
6. Amy, Ben, Carol, and Dick, standing left to right, take turn to report a number from 1 to 500 in order.
If Amy starts with reporting "1" first, who would report
the last number of 500?
7. From 1:30 in the afternoon to 7:00 in the afternoon, how many times did the hour hand perpendicular to the minute hand?
8. Sam had bought some candies. In the beginning, he gave half of the candies to his sister and he ate one candy. and he again ate one candy. he ate 2 candies this time.
Then he gave his brother half of the remaining
At last, he gave half of the remaining to Tracy and At that time, there were only 3 candies left.
many candies did Sam bought in the beginning?
2
2015 Final
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9. Compute: (1) 10×3-2×9+12×3=( (2) 72÷8+8÷4=(
). ).
10. What is the units digit of the product of 9 3's:
11. Place the 9 whole numbers from 0 to 9 into the
3 ×3×3×3×3×3×3×3×3.
9
blank figures below (each
number can only be used once and only once) so that these addition equations are good.
12. In the 4 figures below, circle the ones that you can draw with one stroke without lifting your pen?
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13. How many triangles can you find in the figure on the right?
(
)
14. A teacher has some cups of jelly to be passed on to his students. to each students, he has 2 left over. 3 cups.
If he gives 3 to each students, he is short of
How many cups did he bring in the beginning?
15. The far right figure below in the shape of a bird is arranged with pieces from a tangram shown in the middle figure.
Draw the pieces on the
bird shape on the right to show how these 7 tangram pieces fit in following the example shown on the left figure. Example: