Her father’s age will be 3 timesher age in 5 years’s time.. When a divided by b, it’s thequotient and the remainder are 9 and 10 respestively.. How long does it take him to finish one ga
Trang 1TỔNG HỢP ĐỀ THI VIOLYMPIC TOÁN TA LỚP 5
VÒNG 10 Bài thi số 1: (Bức tranh bí ấn)
6 minutes 46 seconds
1 week
4 years 8 months 23 minutes 37 seconds
+ 17 minutes 29 seconds
2 day and half day 3 hours 45 minutes + 2
192 minutes 51 minutes 29 seconds –
5 minutes 7 seconds
Mã 3:
42 months 2 hours 15 minutes +
1 hour 10 minutes
16 hours 15 minutes
6 minutes 46 seconds
32 seconds 12 years 3 months –
7 years 6 months
12 years 11 months
8 hours 55 minutes
2 hours 5 minutes
4 years 9 months
4 minutes 29 seconds +
2 minutes 17 seconds3.5 years 25 minutes + 35
minutes
5 hours 25 minutes x 3
Trang 2Câu 5: Alison is 30 years younger than her father Her father’s age will be 3 times
her age in 5 years’s time How old is Alison now?
Câu 9: The sum of two numbers a and b is 160 When a divided by b, it’s the
quotient and the remainder are 9 and 10 respestively Find the two numbers a and
b
Câu 10: 309 digits have been used for numbering the page numbers of a book (the
book starting at number 1) How many pages does the book have?
Trang 3A/ 103 B/ 142 C/ 43 D/ 139
BÀI THI SỐ 3 - LEO DỐC
Câu 1: It took Keny 51 minutes to finish 3 games How long does it take him to
finish one game on average?
Answer: ………minutes
Câu 2: A man sold 204kg of rice, 75% of the amount of rice he sold is ordinary
rice How many kilograms of ordinary rice did he sell?
Câu 6: The sum of two numbers is 365 and there are 25 even numbers between
them Find the greater number?
Câu 7: In this sequence: 1, 2, 3, 5, 8, 13, … each number is the sum of the two
previous numbers from the third number How many odd numbers are there in thefirst 100 numbers?
Câu 8: The sum of the ages of Shaun and Tom is 30 The sum of the ages of
Shaun and John is 27 The sum of the ages of John and Tom is 31 Who is theyoungest among the three boys?
Câu 9: Find x if
Answer: x = ……….
Câu 10: Calculate:
Trang 498.7 – 97.5 + 96.3 – 95.1 + 93.9 – 92.7 + 91.5 – 90.3 + 89.1 = …
Câu 11: How many quadrilateral are there in there in the figure?
Câu 12: A farmer has 120 chickens and rabbits altogether The rabbits have 60
more legs than the chickens How many rabbits does the farmer have?
Câu 13: Given a square ABCD has a side of 6cm and a square DEFG has a side
of 3cm Find the area of triangle ACF?
Answer: SACF = ………cm2
Câu 14: Convert: 2dm 6cm = …………m
(Write your answer as a decimal in the simplest form)
Câu 15: The sum of seven consecutive natural numbers is 4725 The greatest
number is …………
Câu 16: 16 hours 25 minutes : 5 = ………… minutes
Câu 17: Find y such that y x 4.6 = 361.1
Câu 18: Convert: 5kg 4g = ……kg
(Write your answer as a decimal in the simplest form)
Điền 5.004
Trang 5Câu 19: Convert: 2893cm3 = …….…….dm3
(Write your answer as a decimal in the simplest form)
Câu 20: In 235468, the value of the digit in the hundreds place is ………… Câu 21: of the balls is ………balls.
Câu 22: The cost of 26 boxes of crayons and 17 boxes of pencils is $129 The
cost of each box is the same How much is each box?
(Write your answer as a decimal in the simplest form)
Câu 26: Write 39% as a fraction The result is …
Câu 27: Write >; =; <:
Câu 28: Calculate: 77.01 + 37.93 – 36.2 x 2 = …
(Write your answer as a decimal in the simplest form)
Câu 29: In 172.641, which digit is in thousandths place?
Trang 6Câu 32: Jeny has 75 red balls and blue balls, 40% of which are blue balls How
many blue balls are there?
Câu 39: kg = …………g The missing number is ………….
Câu 40: Find the sum of all odd numbers from 1 to 100 which are not divisible by
13?
Answer: ………
Câu 41: If is divisible by 3, find the possible value of m?
Câu 42: 1026 digits have been used for numbering the page numbers of a book
(starting at number 1) How many pages does the book have?
Answer: The book has ……….pages
Câu 43: Write the decimal that has: Zero units, seven - tenths
Câu 44: Write the decimal that has: six units, two - tenths
Answer: ………
Câu 45: The missing number is …………
Câu 46: To find the area of circle with radius measures r, we have to calculate:
Câu 47:
Trang 7The sum of the first and the second number is 174.8.
The sum of the second and the third number is 103.7
The sum of the third and fourth number is 96.6
The sum of the first and fourth number is …………
(Write your answer as a decimal in the simplest form)
Câu 48: Given a number sequence: 2; 5; 7; 9; 2; 5; 7; 9; 2; 5; … What is the sum
of the first 60 numbers?
Answer: ………
Câu 49: The average of three numbers is 32 The second number is two times the
first number and the third number is six units more than the second number The first number is …………
Câu 50: Tom bought 3.5kg apples and 2.4kg oranges If the apples cost 5 dollars
per kilogram and the oranges cost 6 dollars per kilogram How much did Tom spend altogether?
Answer: ………… dollars
(Write your answer as a decimal in the simplest form)
Câu 52: A teacher has a bag of sweets for her students If each student is given 4
sweets, the remaining number of sweets is 4 If each student is given 5 sweets, thegiven will be short of 20 sweets How many students are there?
Câu 56: A four-digit number with distinct digits is divisible by 3 and 5 If it
begins with 7 then its greatest possible value is …………
Trang 8Câu 57: Find the smallest value of e if:
Answer: The smallest value of e is ………
Câu 62: How do you write the measurement 106cm3 using words?
A/ One hundred and six cubic centimeters
B/ One hundred and six cubic meters
C/ One hundred and six cubic decimeters
D/ One hundred six cubic meters
Câu 63: Which of the following does NOT represent 1
4?
Câu 64: Given fraction 59
109 If the denominator is decreased by X units and the numerator is increased by X units then new fraction will equal to 72
120 The value
of X is …
Trang 9(Write your answer as a decimal in the simplest form)
Câu 68: There are 112 kilograms of rice divided equally into 14 bags How many
kilograms of rice does each bag contain?
Answer: …kg
Câu 69: A number is divided by 6, the remainder is 3 If the number is divided by
3, the remainder is…
Câu 70: Find the smallest whole number when it is divided by 2; 3; 4; 5; 6 and 7
the remainder of 1; 2; 3; 4; 5 and 0 respectively?
Câu 74: The number is divisible by 2, 5 and 9 The value of a is…
Câu 75: There are 27 blue marbles, 16 yellow ones, and 42 blank ones in a box
Jack closes his eyes and picks a marble from the box What is the minimum
amount of times he has to pick to have 6 marbles with the same color?
Answer: ………
Câu 76: If m is a natural number and then m is…
Câu 77: Find the average of 34.2; 12.5; 37.3
Answer: The average is: …
Câu 78: Compare: 45.72 + 71.03 … 28.9 x 4.5
Trang 10Câu 79: A store sold 0.4 tonnes of apples in the first week and 426kg of apples in
the second week If the store opens everyday, how many kilograms of apples on the average did the store sell each day?
Câu 83: How many non-zero natural numbers are there when divided by 9, the
quotient and the remainder are the same?
Answer: There are ………non-zero natural numbers
Câu 84: The clocks show four things that John does on Sunday morning
Which does John do the second?
Câu 85: Calculate: = …
(Write your answer as a decimal in the simplest form)
Câu 86: How many distinct 3-digit odd numbers can you make by using 1, 2, 0, 4
and 5?
Answer: There are ……… numbers
Trang 11Câu 87: Write the decimal that has: three thousands and four units, eight
Câu 92: The value of the digit 2 in 39201 is ………
Câu 93: Write 0.23 as a fraction with denominator of 100
Câu 94: of 28 goats on Jack’s farm are white How many white goats are there
on the farm?
Answer: There are ……….white goats
Câu 95: Five students do an exam with the maximum score of 100 The scores of
four of the students are 92, 83, 90 and 87 The average of five students’ scores is the same as the score of the fifth student Find the score of the fifth student
Câu 96: There are 7 boxes of oranges Each box contains 40kg If we take away
128kg from these boxes, how many kilograms of oranges are left?
Answer: There are ……….kg
Câu 97: The product of and is ……
(Write your answer as a decimal in the simplest form)
Câu 98: If is divisible by 2; 3; and 9 then a = ……
Câu 99: 41.98 + 73.02 + … = 227.09 The missing number is ……
(Write your answer as a decimal in the simplest form)
Trang 12Câu 100: The sum of four consecutive natural numbers is 8054 The greatest
number is…
Câu 101: How many distinct 4 – digit numbers can you make by using 1; 3; 0; 8
and 5?
Answer: There are …numbers
Câu 102: The heights of five students are 103cm; 130cm; 122cm; 11dm and
12dm What is the average height of all these students?
Câu 108: In the triangle ABC, take the point M on BC such that BM=3MC Find
the area of the triangle ACM if the area of the triangle ABC is 500cm2
Câu 109: A 4-digit number digits is both divisible by 3 and 5 If it begins with 7
then its greatest possible value is …………
Câu 110: Given M = and N = Compare M and N
Câu 111: Calculate:
Trang 13a/ 1 b/ 0.015 c/ 0.01 d/ 0.02
Câu 112: Write 4 27
100 as a decimal number in the simplest form
Answer: ………
Câu 113: What is the quotient of 0.76 and 19? (Write your answer as a decimal in
the simplest form)
Answer: ………
Câu 114: Anna had 15 apples at first She gave of her apples to her brother and
she gave of her apples to her younger sister How many apples does she have now?
Answer: She has ………apples
Câu 115: Calculate:
(Write your answer as a decimal in the simplest form)
Câu 116: Calculate: 2.5g + 2.5g x 3 = …kg
Câu 117: The cost for a movie ticket is $4.5 Soft drinks cost $1.15 each What is
the total cost for 8 people that each has a movie ticket and a soft drink?
Câu 118: In 56.192, which digit is in the tens place?
Câu 119: How many 3-digit numbers are divisible by 35?
Answer: There are … Numbers
Câu 120: If the monthly interest rate is 0.65%, how much deposit is needed so
that after one month, the profit is $52?
Câu 121: Write 72% as a fraction The result is ……
Câu 122: Convert: 5km2 6dam2 = ………… hm2
(Write your answer as a decimal in the simplest form)
Câu 123: Find the area of a triangle with a base is 28.6m and a height 14m
corresponding
Trang 14Câu 124: of non-zero natural A is equal of non-zero natural number B What
is the possible minimum sum of A and B?
Câu 127: The last digit of the product 2×4×6× ×78 is……….
Câu 128: Find the value of x
Answer: The value of x is ………
(Write your answer as a decimal in the simplest form)
Câu 129: Find the average of and
Answer: The average is …………
Câu 130: Find the average of 14
5 and 46
HƯỚNG DẪN GIẢI ĐỀ THI VIOLYMPIC TOÁN TA LỚP 5
VÒNG 10
Bài thi số 1: (Bức tranh bí ấn)
9 hours 30 minutes : 2 = 4 hours 45
minutes
41 minutes 6 seconds = 23 minutes 37 seconds + 17 minutes 29 seconds
4 minutes 29 seconds + 2 minutes 17
seconds = 6 minutes 46 seconds
3 hours 45 minutes + 2 hours 5 minutes = 350 minutes
377 hours = 6 days 10 hours + 9 days
7 hours
2 days 15 hours + 3 days 85 hours = 9 days 4 hours
34 minutes 17 seconds = 51 minutes
29 seconds – 17 minutes 12 seconds
22 hours 53 minutes = 12 hours 92 minutes + 9 hours 21 minutes
2 days 15 hours = 15 days 18 hours : 6
Trang 157 minutes = 5 hours 13 minutes – 5
3 hours 25 minutes = 2 hours 15
minutes + 1 hour 10 minutes
4 years 9 months = 12 years 3 months – 7 years 6 months
25 minutes + 35 minutes = 1 hour 5 hours 25 minutes x 3 = 16 hours 15
5 hours 13 minutes + 3 hours 42
minutes = 8 hours 55 minutes
Trang 16Câu 5: Alison is 30 years younger than her father Her father’s age will be 3 times
her age in 5 years’s time How old is Alison now?
Alison ít hơn bố 30 tuổi 5 năm nữa, tuổi bố sẽ gấp 3 lần tuổi Alison Hỏi hiện nay Alison bao nhiêu tuổi?
Hướng dẫn
Hiệu số tuổi của 2 cha con Alison là: 30 (tuổi)
Sau 5 năm nữa thì tuổi của cha gấp 3 lần tuổi con
Khi đó hiệu số phần bằng nhau là: 3 - 1 = 2 (phần)
Tuổi của Alison sau 5 năm nữa là: 30 : 2 = 15 (tuổi)
Tuổi của Alison hiện nay là: 15 - 5 = 10 (tuổi)
Answer: 10
Câu 6: The perimeter of the rectangle below is 2052cm Its width is …dm
Chu vi của hình chữ nhật dưới là 2052cm chiều rộng hình chữ nhật là …dm
Trang 17Answer: d
Câu 9: The sum of two numbers a and b is 160 When a divided by b, it’s the
quotient and the remainder are 9 and 10 respestively Find the two numbers a and
Câu 10: 309 digits have been used for numbering the page numbers of a book (the
book starting at number 1) How many pages does the book have?
Hướng dẫn: 309 chữ số được sử dụng để đánh số trang của một quyển sách (bắt
đầu từ trang 1) Hỏi quyển sách có bao nhiêu trang sách?
Hướng dẫn
Từ trang 1 đến trang 9 cần dùng 9 chữ số
Từ trang 10 đến trang 99 cần dùng số chữ số là: (99 - 10 + 1) x 2 = 180(chữ số)
Số chữ số cần dùng để đánh số cho 99 trang trên là: 9 + 180 = 189 (chữ số)
Số chữ số còn lại sau khi đánh số cho 99 trang là: 309 - 189 = 120 (chữ số)
Số trang tiếp tục được đánh số là: 120 : 3 = 40 (trang)
Tổng số trang của quyển sách là: 99 + 40 = 139 (trang)
Chon d
BÀI THI SỐ 3 - LEO DỐC
Câu 1: It took Keny 51 minutes to finish 3 games How long does it take him to
finish one game on average?
Trang 18Keny mất 51 phút để kết thúc 3 trò chơi Hỏi trung bình anh ấy cần bao nhiêu lâu
Câu 2: A man sold 204kg of rice, 75% of the amount of rice he sold is ordinary
rice How many kilograms of ordinary rice did he sell?
Một người đàn ông đã bán 204kg, 75% số gạo anh ta bán là gạo tẻ Hỏi anh ấy
đã bán được bao nhiêu kg gạo tẻ?
Tổng của hai số là 176 Tỉ số của chúng là Tìm số bé hơn
Answer: The smaller number is …………
Câu 4: Convert: Đổi3dm 5cm = ………m
(Write your answer as a decimal in the simplest form)
Điền 0.35
Câu 5: Calculate: S =
Trang 19Hướng dẫn
Chọn a
Câu 6: The sum of two numbers is 365 and there are 25 even numbers between
them Find the greater number?
Tổng của hai số là 365 và có 25 số chẵn giữa hai số Tìm số lớn.
Câu 7: In this sequence: 1, 2, 3, 5, 8, 13, … each number is the sum of the two
previous numbers from the third number How many odd numbers are there in thefirst 100 numbers?
Trong dãy số: 1, 2, 3, 5, 8, 13, …mỗi số là tổng của hai số đằng trước tạo thành
số thứ 3 Có bao nhiêu số lẻ trong 100 số đầu tiên?
Câu 8: The sum of the ages of Shaun and Tom is 30 The sum of the ages of
Shaun and John is 27 The sum of the ages of John and Tom is 31 Who is theyoungest among the three boys?
Tổng số tuổi của Shaun và Tom là 30 Tổng số tuổi của Shaun và John là 27 Tổng số tuổi của John và Tom là 31 Ai là người ít tuổi nhất trong 3 bạn trai đó?
Trang 20A/Shaun B/John C/Tom D/Tom and John
Hướng dẫn
Cách 1: Tổng số tuổi của John và Tom là lớn nhất Suy ra: Shaun là người nhỏtuổi nhất
Cách 2:
Tổng số tuổi của 3 bạn là: (30 + 27 + 31) : 2 = 44 (tuổi)
Tuổi Shaun là: 44 – 31 = 13 (tuổi)
Tuổi của John là: 44 – 30 = 14 (tuổi)
Tuổi của Tom là: 44 – 27 = 17 (tuổi)
Vì 13 < 14 < 17 nên Shaun là người ít tuổi nhất
Câu 11: How many quadrilateral are there in there in the figure?
Có bao nhiêu hình tứ giác trong hình?
Trang 21Hướng dẫn
Có 6 hình tứ giác là: (1,3), (2,3), (3,4), (1,2,3), (1,3,4), (2,3,4)
Chọn b
Câu 12: A farmer has 120 chickens and rabbits altogether The rabbits have 60
more legs than the chickens How many rabbits does the farmer have?
Một người nông dân có 120 con gà và thỏ Số chân thỏ nhiều hơn số chân gà là
60 cái chân Hỏi người nông dân có bao nhiêu con thỏ?
Câu 13: Given a square ABCD has a side of 6cm and a square DEFG has a side
of 3cm Find the area of triangle ACF?
Cho một hình vuông ABCD có một cạnh là 6cm và một hình vuông DEFG có một cạnh là 3cm Tìm diện tích tam giác ACF?
Trang 22Câu 20: In 235468, the value of the digit in the hundreds place is …………
Trong 235468, giá trị của chữ số ở vị trí hàng trăm là: …………
Điền 400
Câu 21: of the balls is ………balls.
Điền 8
Trang 23Câu 22: The cost of 26 boxes of crayons and 17 boxes of pencils is $129 The
cost of each box is the same How much is each box?
Phí của 26 hộp bút chì màu và 17 hộp bút chì là 129$ Phí của mỗi hộp là như nhau Hỏi bao nhiêu tiền 1 hộp?
Câu 24: Write 0.04 as a fraction The result is …
Viết 0,04 dưới dạng phân số Kết quả là…
Trang 24(Write your answer as a decimal in the simplest form).
Câu 32: Jeny has 75 red balls and blue balls, 40% of which are blue balls How
many blue balls are there?
Jeny có 75 quả bóng đỏ và xanh, 40% là quả bóng xanh Hỏi có bao nhiêu quả bóng xanh?
Hướng dẫn
Số quả bóng xanh là: 75 x 40 : 100 = 30 (quả)
Chọn B
Câu 33: In 45.357, which digit is in hundredths place?
Trong 45,357, chữ số ở phần trăm là số nào?