What are questions for practice test of Violympic Mathematics for grade 5 students in Vietnam in 2024? What are methods for assessing grade 5 students in Vietnam?
What are questions for practice test of Violympic Mathematics for grade 5 students in Vietnam in 2024?
Below is a compilation of questions for practice test of Violympic Mathematics for grade 5 students in Vietnam in 2024:
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Questions for practice test of Violympic Mathematics for grade 5 students in Vietnam in 2024
Problem 1: Find a fraction where the denominator is 45 units more than the numerator and the fraction's value is 2/5.
Answer: The fraction is 30/75.
Problem 2: Find two natural numbers whose sum is 2011, and there are exactly 9 even numbers between them.
Solution:
Two consecutive natural numbers with a sum of 2011 are:
(2011 + 1) / 2 = 1006
(2011 - 1) / 2 = 1005
Since there are 9 even numbers between them, we have:
The smaller number is 1005 – 9 = 996
The larger number is 1006 + 9 = 1015
Problem 3: Find two numbers whose sum is 571, and there are a total of 18 even numbers between them.
Solution:
The two consecutive natural numbers that sum to 571 are:
The larger number is (571 + 1) / 2 = 286
The smaller number is (571 – 1) / 2 = 285
Since there are 18 even numbers between them, we have:
The larger number is 286 + 18 = 304
The smaller number is 285 – 18 = 267
Answer: 267 and 304
Problem 4: Find the dividend and divisor.
Solution:
Let the divisor be x; according to the problem:
(3x + 24) – x = 218 => x = 97
Thus the dividend is:
(97 x 3) + 24 = 315
Answer: Dividend is 315; divisor is 97
Problem 5: What is the smallest natural number with different digits such that the sum of the digits is 20?
Answer: The natural number is 389.
Problem 6: Find two natural numbers whose sum is 571 and there are 18 even numbers between them.
Answer:
The smaller number is: (571 – 1) / 2 – 18 = 267
The larger number is: (571 + 1) / 2 + 18 = 304
Problem 7: Find two natural numbers whose sum is 999 and there are 25 odd numbers between them.
Solution:
The smaller number is: (999 – 1) / 2 – 25 = 474
The larger number is: (999 + 1) / 2 + 25 = 525
Problem 8: Find a fraction where the sum of the numerator and denominator is 215 and the fraction's value is 38/57 (i.e. 2/3).
Answer: The fraction is 86/129.
Problem 9: Knowing the average of two numbers is 185 and the larger number is 24 units more than the smaller one. Find these two numbers.
Solution:
The smaller number is: [(185 x 2) – 24] / 2 = 173
The larger number is: [(185 x 2) + 24] / 2 = 197
Problem 10: Given a rectangle with a perimeter of 120 cm, where the length is 8 cm more than the width. Calculate the dimensions of the rectangle.
Solution:
The width is: 26 cm
The length is: 34 cm
Problem 11: Find a fraction where the denominator is 52 units more than the numerator and the sum of the numerator and denominator is 86.
Answer: The fraction is 17/69.
Problem 12: A car travels 135km in 3 hours. How many kilometers does it travel in 5 hours?
Answer: In 5 hours, the car travels: 225km
Problem 13: The difference between two numbers is 85. The ratio of the two numbers is 3/2. Find these two numbers.
Answer:
The smaller number is: 170
The larger number is: 255
Problem 14: A worker is paid 3,900,000 VND for working 26 days. How much is the worker paid if they work only 10 days? (The daily rate is constant.)
Answer: The pay for 10 days of work is: 1,500,000 VND
Problem 15: A rectangle has a perimeter of 190 cm, and the width is 2/3 of the length. Calculate the dimensions of the length and width.
Answer:
The length is: 57 cm
The width is: 38 cm
Problem 16: The sum of two numbers is 344. The first number is 5/3 of the second number (i.e. one and two-thirds). Find these two numbers.
Answer:
The first number is: 215
The second number is: 129
Problem 17: Uncle An buys 5m of fabric for 450,000 VND.
If Uncle An buys 15m of the same fabric, how much does it cost?
Answer:
Uncle An spends 1,350,000 VND for 15m of fabric.
Problem 18: A rectangle has a perimeter of 168 cm, and the width is 3/4 of the length. Calculate the length and width dimensions.
Answer:
The length is: 48 cm
The width is: 36 cm
Problem 19: The difference between two numbers is 154. The ratio of these two numbers is 5/3 (i.e. one and two-thirds). Find these two numbers.
Answer:
The smaller number is: 231
The larger number is: 385
Problem 20: Currently, the combined age of a grandfather and grandson is 78 years. The grandson's age in months equals the grandfather's age in years.
Calculate their current ages.
Answer:
The grandfather's current age is: 72 years.
The grandson's current age is: 6 years.
Problem 21: A military unit prepares food enough for 100 people for 30 days. How many days will the food last for 60 people? (The consumption rate per person does not change.)
Answer: The food lasts for 60 people for 50 days.
Problem 22: Currently, the total age of a mother and child is 42 years. In 4 years, the mother's age will be four times the child's age. Calculate their current ages.
Answer:
The mother's current age is: 36 years.
The child's current age is: 6 years.
Problem 23: Currently, the total age of a father and child is 68 years. Four years ago, the father's age was three times the child's age. Calculate their current ages.
Answer:
The father's current age is 49 years.
The child's current age is 19 years.
Problem 24: In a division of two natural numbers, the quotient is 2, the remainder is 19, and the sum of the dividend and divisor is 340.
Find the divisor and dividend of the division.
Answer:
The divisor is: 107.
The dividend is: 233.
Problem 25: Find two natural numbers such that the larger number divided by the smaller gives a quotient of 4 with a remainder of 19, and their difference is 133.
Answer:
Smaller number is: 38
Larger number is: 171
Problem 26: Find two numbers with a sum of 186 and the larger number divided by the smaller is 2 with a remainder of 12.
Answer:
The smaller number is: 58
The larger number is: 128
Problem 27: Currently, the total age of a grandmother and granddaughter is 65 years. The granddaughter's age in months equals the grandmother's age in years.
Calculate their current ages.
Answer:
The grandmother's current age is: 60 years.
The granddaughter's current age is: 5 years.
Problem 28: Find the number 3a7b that is divisible by 2, 5, and 9.
Answer:
The number is: 3870
Problem 29: Find two numbers with a sum of 195, and if the first number is multiplied by 2 and the second by 3, the results are equal.
Answer: The first number is: 117.
The second number is: 78.
Problem 30: Find two natural numbers having exactly 95 different natural numbers between them and the smaller number is 1/3 of the larger number.
Answer:
Since there are 95 natural numbers between them, the difference between the larger and smaller natural number is (95 + 1).
Thus the smaller number is:
(95 + 1) / (3 – 1) = 48
The larger number is: 48 x 3 = 144.
Smaller number: 48 Larger number: 144
Problem 31: Class 5A has 40 students, knowing the number of female students is 2/3 of the number of male students. How many male and female students are there in Class 5A?
Answer:
Number of female students in Class 5A is: 16
Number of male students in Class 5A is: 24
Problem 32: Please click on True; False to affirm whether the following conclusions are correct or incorrect.
1. Among the numbers: 120; 123; 1890; 2001; 2005; 2008; 2010, all numbers divisible by both 2 and 5 are 120; 1890; and 2010.
Answer: True
2. Among the numbers: 120; 123; 1890; 2001; 2005; 2008; 2010, all numbers divisible by 5 are: 120; 1890; 2005; and 2010.
Answer: True
3. Among the numbers: 120; 123; 1890; 2001; 2005; 2008; 2010, all numbers divisible by 3 are 1890; 2001; 2010.
Answer: False
4. Among the numbers: 120; 123; 1890; 2001; 2005; 2008; 2010, all numbers divisible by 2 are: 120; 1890; 2008; and 2010.
Answer: True.
5. The number 45,512 is read as "Forty-five point five hundred twelve"
Answer: False
6. The number 29.84 is read as "Twenty-nine point eighty-four"
Answer: False
7. If the product of two natural numbers is an odd number, then the difference of those numbers is also an odd number.
Answer: False
8. For the number 2a4b to be divisible by 2, 5, and 9, b must be 0, and a must be 3.
Answer: True
9. For the number 2a7b to be divisible by 2, 5, and 9, b must be 0, but a must be 9.
Answer: False (because there are 2 results: 2970 and 2070)
10. If the sum of two natural numbers is an even number, then the product of those numbers is also an even number.
Answer: False
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Note: Information is for reference only!
What are questions for practice test of Violympic Mathematics for grade 5 students in Vietnam in 2024? What are methods for assessing grade 5 students in Vietnam? (Image from the Internet)
What is the Schedule for Violympic rounds for the 2024-2025 school year in Vietnam?
On November 10, 2022, the Ministry of Education and Training of Vietnam approved the Official Dispatch 5943/BGDDT-GDTrH of 2022, which agrees with the content of the Scheme for the Violympic playground for general education students.
The organizing committee of the Violympic competition (VioEdu) has officially announced the schedule and regulations for the Violympic competition for the 2024-2025 school year (VioEdu 2024-2025 schedule).
The regulations for the Violympic competition for the 2024-2025 school year...Download
The schedule for the Violympic competition for the 2024-2025 school year...Download
The Violympic competition for the 2024-2025 school year will officially start on September 1, 2024.
The Preliminary Round will commence with 6 challenges for Math, Math in English, Vietnamese, and 3 challenges for Natural Sciences, History, and Geography.
The complete schedule for the Violympic competition in the 2024-2025 school year (VioEdu 2024-2025 Schedule) details each round. Specifically:
A. Preliminary Round Schedule
1. Subjects: Math, Math in English, Vietnamese
2. Subjects: Natural Sciences, History, and Geography
B. School-Level Round Schedule
C. District-Level Round Schedule
D. Provincial/City-Level Round Schedule
E. National-Level Round Schedule
What are methods for assessing grade 5 students in Vietnam?
According to Article 5 of the Regulation on evaluating primary school students issued with Circular 27/2020/TT-BGDDT, teachers can evaluate Grade 5 students using the following methods:
- Observation method: Teachers observe, listen to students during classroom teaching, use observation checklists, log books to record students’ manifestations to serve as evidence for evaluating the learning and training process.
- Evaluation through portfolios, students' products, and activities: Teachers provide remarks and evaluations of the students' products and activity results to assess students according to relevant evaluation content.
- Oral questioning method: Teachers engage with students through questioning to collect information to offer feedback and promptly assist.
- Written testing method: Teachers use tests comprising questions and exercises designed according to the program's required levels and standards, in multiple-choice, subjective, or a combo of both formats to evaluate attainment regarding educational content to be assessed.
