TIMO - Sample Test - P4P5 [PDF]

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BỘ TÀI LIỆU ÔN THI VÒNG LOẠI TIMO 2020 Primary 4 - Primary 5 Đề 1: +12+14+16+18+20+22 Open-Ended questions (151 - 30th) (5 points for correct answer, no penalty point for wrong answer) logical thinking 1. What is the value of the number to represent “?” in the following table?

2. According to the pattern shown below, how many circle(s) from 15 symbol to the 103 symbol counting from the left?

3. The age of Samuel 7 years later is equal to the age of Joseph 3 years ago. Given that Joseph is 22 years old now, how old is Samuel now? 4. According to the pattern shown below, what is the number in the blank? 1, 4, 9, 16, 25, 36, 49,... 5. According to the pattern shown below, what is the number in the blank? 1, 3, 7, 15, 31, 63,... 6. Today is 5th April, Friday. Which day of the week is 11th June? 7. Find the value of 2+4+6+8+10. 8. Find the value of 27x12+15 x 27 +27 x 23.

9. Find the value of 11x11x11. 10. Find the value of 1+3+5+...+23+25+23+...+5+3+1. 11. Find the value of 625 x 32 x16 x 125. 12. Find the value of 96 : 4 + 96 : 8 + 96 : 12.

14. The sum of A and B is 2019. The difference between A and B is 405. 14. Given A is larger than B, find the value of A. 15. The numbers below follow the arithmetic sequence, what is the 20th number? 21, 34, 47, 60, 73... 16. 5 students have 50 balloons in total and each of them has a different number of balloons and at least I balloon. At most how many balloon(s) does the student with the most balloons have? 17. What is the largest 3-digit number that can be divisible by 8 and 12? 18. The sum of A and B is 405. A is 80 times of B. Find the value of B.

19. How many square(s) is/ are there in the figure below? 20. A pyramid has 405 vertices, how many edge(s) does this pyramid have? 21. The perimeter of a rectangle is 84. Find the maximum value of the area of this rectangle.

22. At least how many square(s) can be seen if viewing the figure below from side?

23. There are 6 points on a plane. Given that any 3 points are not in collinear. How many quadrilateral(s) can you draw? 24. How many line segment(s) can be formed in the figure below?

25. Peter has 4 S5 coins and 6 $10 coins. How many $20 notes can he exchange? 26. Choose 3 digits, without repetition, from 2, 3, 4, 5, 6 to form 3-digit Numbers. How many odd number(s) is / are there? 27. Separate 108 candies into six equal groups, how many candy(ies) is/ are there in each group? 28. What is the largest 5-digit odd number by using 3, 1, 0, 6 and 9? (Each number can only be used once) 29. If Andy goes from point A to point B, each step can only move up or move right. How many way(s) is / are there?

30. According to the following sequence for first 297th terms, how many odd number(s) is/ are there? 1, 2, 3, 6, 11, 20, 37, 68,...

ĐỀ 2: Logical Thinking 1. If the day after tomorrow is Wednesday, which day of the week was the day before yesterday? 2. 16 children form a line. Maria is the 7th position counting from the front. Find her position counting form the back. 3. According to the pattern shown below, what is the number in the blank? 3, 6, 10, 15, 21, 28, __, …. 4. John goes home by taxi and he needs to pay $90. How much does he have to pay if he goes home by taxi with his father, mother and sister?

5. According to the pattern shown below, how many groups?

is / are there in the first five

Arithmetic 6. Find the value of 2 + 8 + 12 + 18 + 22 + 25 + 28 + 35. 7. Find the value of 105 : 3 – 105 : 5 + 105 : 7. 8. Find the value of 22 – 19 + 16 – 13 + 10 – 7 + 4 - 1. 9. What is the number that should be filled in the blank if the equation below is correct?

_____ x 45 = 405

10. If A and B are distinct 1-digit numbers, what is the value of A if the equation below is correct?

Number Theory 11. Linda has 73 apples and Ben has 39 apples. How many apple(s) does Linda have to give Ben to make them have the same number of apples? 12. 4 students have 18 balloons in total. Two children have an even number of balloons and one child has an odd number of balloons. Determine whether the number of balloons of the remaining child is odd or even. 13. The numbers below follow the arithmetic sequence, what is the 11th number? 143, 139, 135, 131, 127, … 14. How many 3-digit number(s) having 1 as unit digit is / are there? 15. Fill the lines with ‘ + ‘ and ‘ x ‘ to make the equation below correct.

Geometry

16. How many square(s) is / are there in the figure below?

17. A prism has 9 faces. How many vertice(s) does this prism have? 18. According to the pattern shown below, what is the figure in the space provided?

19. At least how many square(s) can be seen if viewing the figure below from top?

20. At most how many rectangle(s) can be formed by drawing 5 straight lines on a plane? Combinatorics 21. After Kate gives 3 pens to Harry and 7 apples to Michael, they will have an equal number of apples. How many apple(s) did Kate have more than Michael originally?

1. 22. What is the smallest 4-digit Wha number formed by using 3, 5, 6 t is and 8, given that it is divisible the by 5? (Each number can be valu used only once). e of 2. the Accor 23. Every 2 of the 6 children num ding shake hand. How many ber to the handshakes are there in total? to patter repre n 24. How many odd number(s) sent show is/are there from the 1th term to “?” n the 30th term in the following in below sequence? the , how follo many 1,wing 2, triang 3,table 5, le(s) 8,? is / 13, are … there from 25. Jack has six $1 coins, four the $2 coins and two $5 coins, in how many way(s) can he buy a 1th to souvenir that costs $8 without the any change? 99th sym bol ĐỀ 3: coun ting Logical Thinking from the left?

w m on a street ol from one end. d The street is is 255m long. How 3. Sa many trees are Th m there on the e ue street? ag l e w 5. According to of he the pattern Sa n shown below, mu Jo how many is / el se are there in the 9 ph 10th group? ye is ars 25 ag ye o ars is ol eq d? ual to 4. the A ag tre e e of is Jos pl ep an h 2 te ye d ars ev lat er er. y Ho 15

Arithmetic 6. Find the value of 2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18. 7. Find the value of 81 x 16 + 27 x 52. 8. Find the value of 16 x 625 x 4 : 25. 9. Find the value of 2018 2017 + 2016 2015 + 2014 - ... + 2002 2001 + 2000. 10. Find the value of 1258 + 369 + 742 + 641. Number Theory

12. The sum of A and B is 2018. is larger than B, find the value The difference between A and B is 902. Given that A of A.

13. The numbers below follow the arithmetic sequence. What is the sum of the 9th term and the 14th term? 12, 15, 18, 21, 24, … 14. A three digit number leaves a remainder 5 when divided by 9. Find such a number so that it is closest to 400? 15. The sum of 3 consecutive odd numbers is 69. Find the smallest odd number.

Geometry 16. How many square(s) is / are there in the figure below?

17. A pyramid has 2018 edges. How many face(s) does this pyramid have? 18. 9 identical squares whose perimeters are 48cm form a larger square. What is the perimeter of the larger square? 19. At least how many distinct square(s) can be seen from the top view of the solid below?

20. At most how many intersection point(s) are created by drawing 5 straight lines on a plane?

Combinatorics 21. After Amy gives 10 apples to Andy and 7 apples to Johnny, they will have equal

number of apples. How many apple(s) did Johnny have fewer than Amy originally?

22. Choose 3 digits from 1, 3, 4, 5, 9 to form 3-digit numbers. How many number(s) that can be divisible by 5 is / are there? (repetitions of digits are allowed) 23. Numbers are drawn from 27 integers ranging from 1 to 27. At least how many number(s) should be drawn at random to ensure that there are two numbers whose difference is divisible by 4? 24. At least how many of 37 children that was/were born in the same month? 25. Refer to the figure below. If Andy goes from point A to point B, each step can only move up or move right. How many way(s) is / are there?

ĐỀ 4:

Logical Thinking 1. If the day after tomorrow is Monday, which day of the week is the day before yesterday? 2. 20 children form a line. Anna is the 6th position counting from the front. What is her position counting from the back? 3. According to the pattern shown below, what is the number in the blank? 1, 8, 15, 22, 29, 36, ____ 4. James goes to the supermarket by taxi and he needs to pay $80. How much does he have to pay the taxi driver if he goes with 3 other friends? 5. According to the pattern shown below, how many is/ are there in the 10th group?

Arithmetic 6. Find the value of 3 + 7 + 15 + 30 + 25 + 18 + 4 + 2 + 6. 7. Find the value of 120 ÷ 2 + 120 ÷ 5 -120 ÷ 10. 8. Find the value of 23 - 8 + 15 - 4 + 10 -5. 9. What is the number that should be filled in the blank if the equation below is correct? ___ × 35 = 280 10. If A and B are different 1-digit numbers, what is the value of B if the equation is correct? ABA7A

Number Theory 11. Anna has 66 apples and Ron has 24 apples. How many apples does Anna have to give Ron to make them have the same number of apples? 12. 5 students have 65 balloons in total. Two children have got an even number of balloons and two children have got an odd number of balloons. Determine whether the number of balloons of the remaining child is odd or even. 13. The number below follow the arithmetic sequence, what is the 10th number? 120, 126, 132, 138, 144 14. How many 3–digit number(s) having 2 as the unit digit is/ are there? 15. Fill the lines with “+” and “×” to make the equation below correct: 5____6_____7_____8______9 = 95

Geometry 16. How many squares is/ are there in the figure below?

17. A prism has 6 faces. How many vertices does this prism have? 18. According to the pattern shown below, what is the figure in the space provided?

19. At least how many squares can be seen from the top view of the following solid?

20. At most how many rectangles can be formed by drawing 7 straight lines on a plane?

Combinatorics 21. After Adam exchanges 5 of his books for 2 books of Jennie, they will have an equal number of books. Find the difference between the number of books of Adam and that of Jenni originally? 22. What is the smallest 4–digit number formed by using 5,6,8,2 such that it is divisible by 5? (Each number can be used only once). 23. In a prom, there are a group of 6 students who are close friends. Each student pair up with one another to perform a dance. How many dance performance(s) is / are there given that every 2 students must dance with each other once? 24. How many even number(s) is/are there in the following numbers from the 1st term to the 19th term? 1, 4, 7, 10, 13, 16, … 25. Anna has four $1 coins, seven $2 coins and one $5 coin. In how many ways can he buy a gift that cost $7 without any change?

ĐỀ 5: Logical Thinking 1. Given that Hannah has 2 sisters and 3 brothers, how many child(ren) does Hannah’s mother have? 2. According to the pattern below, what is the alphabet letter in the space provided? B, E, H, K, __, …. 3. 5 years ago, Cindy was 14 years old. How old will Cindy be 4 years later?

4. According to the pattern shown below, what is the number in the blank?

2, 9, 16, 23, 30, 37, __,…. 5. According to the pattern shown below, what is the number in the blank? 3, 3, 6, 9, 15, 24, __, …. Arithmetic 6. Find the value of 2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18 . 7. Find the value of 15 × 13 + 15 × 3 - 15 × 6. 8. Find the value of 1 - 3 + 5 - 7 + 9 - 11 + 13 - 15 + 17. 9. What is the number that should be filled in the blank if the equation below is correct? 113 × _____ = 904 10. Find the value of 20 : 4 + 20 : 5 + 20 : 1.

Number Theory 11. Liam has 137 apples and Miley has 37 apples. At least how many apple(s) does Liam have to give Miley so that Liam has fewer apples than Miley does? 12. 4 students have 40 balloons in total and each of them has a different number of balloons. Find the largest possible number of balloons that the student with the most balloons has. 13. The numbers below form an arithmetic sequence. What is the 20th number? 21, 31, 41, 51, 61, … 14. How many 3-digit number(s) with the unit digit 0 is / are there?

15. Find the largest 2-digit number that can be divisible by 8 and 12.

Geometry 16. How many square(s) is / are there in the figure below?

17. A prism has 10 faces. How many vertex / vertices does this prism have? 18. A pyramid has 18 vertices. How many face(s) does this pyramid have? 19. At least how many square(s) can be seen if viewing the figure below from the left side?

20. How many line segment(s) can be formed by connecting the points in the figure below?

Combinatorics 21. Separate 54 candies into six equal groups. How many candy(ies) is / are there in each group? 21. Choose 2 digits, without repetition, from 1, 4, 6, 8, 9 to form 2-digit numbers. How many even number(s) is / are there? 22. According to the pattern shown below, how many circle(s) is / are there from the 1st symbol to the 50th symbol counting from the left?

23. What is the smallest 5-digit number formed by using 3, 1, 0, 5 and 8? (Each number must be used exactly once). 24. Peter has five $2 coins and six $5 coins. How many $10 coins can he exchange for his worth of money?

Keys Đề 1:

Keys Đề 2: Câu

Câu

Câu

1

2

3

4

5

6

Sat

10

36 90

45

11

12

13

17 Odd

103 90

21

23

22

17 3685

8

9

10

150 29

12

9

6

15

16

17

18

19

20

1234520

23

14 ○/circle

6

3

14

24

25

15 20

6

7

Keys Đề 3: Câu

Câu

Câu

1

2

3

4

5

6

7

8

9

10

32

50

36

18

325

90

2700

1600

2009

3010

11

12

13

14

15

16

17

18

19

20

119

1460

87 401

21

26

1010

144

23

10

21

22

23

24

25

24

25

5

4

16

Keys Đề 4:

Câu

Câu

Câu

1

2

3

4

5

6

Thursday

15th

43

$80

37

11

12 13

14

15

21

Even 174

90

5678995

21

22

23

24

25

6

2685

15

9

4

8

9

10

110 72

31

8

6

16 17

18

19

20

■

4

18

14

7

8

Keys Đề 5: Câu

Câu

Câu

1

2

3

4

5

6

7

8

9

10

6

N

23

44

39

90

150

9

8

29

11

12

13

14

15

16

17

18

19

20

51

37

211

90

96

10

16

18

4

10

21

22

23

24

25

9

12

25

10358

4