Review 2

Review 2

Logical Thinking

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1. When Jom was 12, Kris was half as old as Jom. If Kris is 12 now, how old is Jom now?

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2. According to the pattern shown below, what is the number in the blank? 3 4 7 12 19

39

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3. 20 students are to form lines with M number of rows and N number of columns. What is the maximum number of rows can they make such that each row should have equal and more than 1 student?

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4. According the pattern below, how many letter “A” are there form the 1st term to the 57th term?

ABADEABADEABADEABADEABADE…

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5. According to the pattern below, what English alphabet should be in the blank?

B D G K

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May 27th is a Wednesday. What day is July 26th of the same year?

Arithmetic

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7. What number should be filled in the blank to make the equation below correct?

33 ÷

x 11 = 121

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8. Find the value of 1 + 2 + 3 + … + 15 + 14 + 13 + … + 2 + 1.

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9. Find the value of 50 ÷ 17 + 29 ÷ 17 + 79 ÷ 17 + 2 ÷ 17 - 7÷17

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10. Find the value of 11 x 19 + 15 x 11 + 10 x 11.

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11. Find the value of 27 + 33 + 98 + 72 + 69 + 41.

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12. Find the value of A x B if

Number Theory

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13. How many 2-digit odd multiples of 9 are there?

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14. Find the smallest 5-digit odd number that has no repeating digits.

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15. 5 students took an exam and got the same scores. If the total of their scores is odd, find the largest possible value of each score if the test is good for 20 pts.

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16. Fill the equation below with “+” and “- “to make the equation below correct. Write the whole equation in the answer box.

25 __ 32 __ 17 = 40

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17. Determine if the sum is odd or even. 12 + 13 + 14 + 15 + 22 + 23 + 24 + 25

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18. The numbers below follow an arithmetic sequence. Find the value of the number in the blank.

14 25 38 53

Geometry

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19. How many squares does the figure below have?

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20. It is known that one side of a rectangle is 12. If the Area is 96, what is the length of the other side?

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21. A prism has 12 faces. How many edges does it have?

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22. How many squares can be seen if viewing the figure below from the top?

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23. How many triangles can be formed below?

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24. According to the pattern below, what is the figure in the space provided? Write the name of the shape in the answer box.

Combinatorics

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25. Bj has 4 $5 coins, 3 $10 coins, and 10 $1 coins. How many ballpens can she buy if one ballpen costs $7.

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26. Shawn has 36 five-dollar bills. How many two-dollar coins can she exchange?

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27. How many 2-digit numbers are there that has a units digit less than 4?

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28. Calculate the difference between the largest and smallest numbers you can form using the digits 1, 2, 3, 4, 5, and 6.

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29. How many 2-digit odd numbers can you form using the numbers 2,4,6,3,5, and 7 without repetition?

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30. According to the expressions below, how many are even?

29 – 13 36 + 25 11 x 12 13 x 5

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15. 5 students took an exam and got the same scores. If the total of their scores is odd, find the largest possible value of each score if the test is good for 20 pts.