Review 1

Review 1

Logical Thinking

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1. In a school, Class A has 27 students. Class B has twice as much students as Class C and Class C is 7 less than the number of students in Class A. How many students are there if we add all the students of classes A, B, and C?

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2. July 17th is a Sunday. Which day of the week is October 22nd of the same year?

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3. Find the missing number in the figure below according to the pattern.

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4. According the pattern below, how many letters will I write in the 7th group?

LMNLLMMNNLLLMMMNNN …

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5. When Patricia was born, Dad was 10 years older than Mum. Now that Patricia is 25, Mum is 49 years old. How old is Dad now?

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6. According to the pattern below, what should be the next term?

Arithmetic

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7. Find the value of (11 x 4 + 9 – 2 x 2) + 11.

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8. Find the value of 66 + 33 + 99 + 11 + 88 + 22 + 77

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9. Find the value of 11 x 5 – 11 x 6 + 11 x 9

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10. Find the value of 34 + 69 + 21 + 56 + 27 + 63.

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11. What is the number in the blank?

x 11 + 9 – 6 ÷ 3 = 238

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12. Find the value of 36 ÷ 6 + 36 ÷ 4 + 36 ÷ 3 + 36 ÷ 36.

Number Theory

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13. Find the smallest 4-digit number that is divisible by 5 without repeating digits.

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14. Amy has twice as many candies as Jade. If Jade has 14 candies, at least how many candies does Amy need to give Jade to make them have a 6-candy difference?

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15. If we continue the arithmetic sequence below, what will be the 11th number? 504 490 476 462 448 434 420 …

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16. How many two-digit numbers are there that are multiple of both 2 and 3?

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17. For any natural number A, determine if the result of A x (A + A) x (A + A + A) is odd or even.

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18. According to the pattern below, what is the missing term?

1 2 3 5 8 13 21

Geometry

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19. How many squares does the figure below have?

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20. How many triangles are there in the figure below?

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21. A prism has 12 faces. What type of polygon is its base?

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22. How many diagonals are there in a 14-sided polygon?

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23. What is the maximum possible sum if we add the values of 10 acute angles? The values of the angles are integers.

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24. How many small cubes are there if I add 2 Rubik’s cubes together?

Combinatorics

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25. How many 2-digit even numbers you can form using the digits 2, 4, 6, 1, 3. Use the digits only once.

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26. What is the largest 4-digit odd number you can form using the numbers from 0 to 9? You can only use the digits once.

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27. Ken has 12 5-dollar coins, 10 2-dollar coins, and 15 1-dollar coins. How many 15 dollars can he exchange from his total money?

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28. There are 36 students in a classroom. At most how many pairs can we have if a boy and a girl should be paired?

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29. A bar offers 3 types of drinks, 2 types of peanuts, and 2 types of sisig. If a set contains, 2 drinks, 1 peanut, and 1 sisig, how many types of sets does this restaurant have?

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30. How many 2-digit numbers are there such that the sum of its digit is at least 17?