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Math VI Test 8 (SB Section 1-3)

Duration: 10 min
Maximun Marks: 50

Declaration:

Sections
Marks
+0 -0
Time
00:00
Question: 1

The following numbers are all divisible by 4: 24, 28, 44, 48, 112, 116, 456, 460, 1232, 1236, 3564, 3568, 7872, 7876.

From this list, identify and write down the numbers that are also divisible by 8.

Write the numbers here:

Question: 2

Question: A girl bought some eggs from a shop. When she packs the eggs in groups of 2, 3, 4, 5, or 6, there is always 1 egg left over. However, when she packs them in groups of 7, they fit perfectly with no eggs left over. What is the smallest number of eggs the girl could have bought?

Question: 3

A flower shop has 30 red roses and 40 white roses. They want to mix them to make bouquets, such that each bouquet contains the exact same number of red roses and the exact same number of white roses. What is the maximum number of bouquets they can prepare?

Question: 4

Students participating in a basketball tournament can be arranged in rows of 24, or they can be arranged in rows of 36. What is the minimum number of students participating in the tournament?

Question: 5

Bata has around 80 trading cards. If these cards can be divided equally among 2, 3, or 7 children with no cards left over, exactly how many cards does he have?

Question: 6

Two children played a game by rolling hoops over the exact same distance. One hoop made 50 full rotations, while the other made 40 full rotations. If the circumference of one hoop is 4.4 dm longer than the other, what was the distance they rolled the hoops?

Question: 7

A motorboat traveled 59.2 km downstream (with the current) and 87.5 km upstream (against the current). If the speed of the boat in still water is 27.3 km/h and the speed of the river current is 2.3 km/h, what is the total time spent on the entire journey?

Question: 8

The first side of a triangle is \( \frac{4}{5} \) dm long, the second side is \( \frac{7}{10} \) dm long, and the third side is \( \frac{7}{20} \)dm shorter than the first side. Find the perimeter of the triangle.

Question: 9

Two brothers planned to paint a wall. The older brother can paint the wall alone in 40 minutes, while the younger brother can paint it alone in 1 hour. If they work together, how long will it take them to finish painting the wall?

Question: 10

If 1 g of paint covers \( \frac{4}{5} \) \( \text{dm}^2 \) of a board, how many \( \text{dm}^2 \) can be painted with \( \frac{1}{5} \) g of paint? Calculate and explain using the visual model concept.

Question: 11

A cyclist had to cover a distance of 100 km. In the first hour, they cleared \( \frac{1}{4} \) of the total distance; in the second hour, they covered \( \frac{1}{5} \) of the distance; and in the final hour, they traveled \( \frac{3}{10} \) of the distance. What fraction of the total distance did the cyclist cover in 3 hours? How many kilometers are left to travel?

Question: 12

An electric kettle consumes \( 2\frac{1}{2} \) kW of electricity per hour. If the kettle is used for 1 hour and 20 minutes each day, how many kW of electricity will it consume in 4 days?

Question: 13

Dorj scored 66 points on his math exam. If this score is 75% of the total possible points, what is the maximum score achievable on this math exam?

Question: 14

If a piece of aluminum with a volume of \( 70\text{ cm}^3 \) weighs \( 189\text{ g} \), find the volume of another piece of aluminum that weighs \( 850.5\text{ g} \).

Question: 15

A line segment \( AB \) is divided by point \( C \) into two segments in the ratio of \( 7:5 \). If the difference between the lengths of these two segments is \( 3\text{ cm} \), find the total length of the line segment \( AB \).

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