1.### 158=___ + 106.
What number will come in the blank to make the number sentence correct?

Answer:
52

Explanation:

To find the missing number that will make the number sentence correct, we need to subtract 106 from 158. When we subtract 106 from 158, we get the result of 52. Therefore, the missing number in the blank is 52.

2.### The simplest form of 16/24 is:

Answer:
2/3

Explanation:

To find the simplest form of 16242416, you can simplify the fraction by dividing both the numerator (16) and the denominator (24) by their greatest common factor.

Factors of 16: 1, 2, 4, 8, 16

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

The greatest common factor is the largest number that appears in both lists. In this case, the greatest common factor of 16 and 24 is 8.

Now, divide both the numerator (16) and the denominator (24) by the greatest common factor:

16/24=16÷8/24÷8=2/3

So, the simplified fraction is 2/3.

Factors of 16: 1, 2, 4, 8, 16

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

The greatest common factor is the largest number that appears in both lists. In this case, the greatest common factor of 16 and 24 is 8.

Now, divide both the numerator (16) and the denominator (24) by the greatest common factor:

16/24=16÷8/24÷8=2/3

So, the simplified fraction is 2/3.

3.### Simon has 918 marbles. He wants to make packets of marbles, with nine marbles in each pack. How many packs will he be able to make?

Answer:
102

Explanation:

Simon has 918 marbles. He wants to make packets with nine marbles each. To find out how many packets he can make, divide the total number of marbles by the number of marbles per packet:918÷9=102This division shows that Simon can create 102 packets, each containing nine marbles, with his total of 918 marbles. Thus, he can make 102 packets of marbles with the given total.

4.### A teacher brought some toffees to her class. After giving three toffees each to 15 students who had completed their assignments, she has 60 toffees left with her. How many toffees did she bring to the class?

Answer:
105

Explanation:

The teacher gave three toffees each to 15 students, which means she gave away a total of 3 x 15 = 45 toffees. If she has 60 toffees left, then she initially brought 45 + 60 = 105 toffees to the class.

5.### Meena divides a number by 2. She then divides the answer by 2. This is the same as dividing the original number by:

Answer:
4

Explanation:

When Meena divides a number by 2 and then divides the answer by 2 again, it is equivalent to dividing the original number by 4. This is because dividing by 2 twice is the same as dividing by 2 multiplied by 2, which equals 4.

6.### John has stamps from different countries. 1/3rd of them are India's stamps. If he has 36 Indian stamps, how many stamps does he have in total?

Answer:
108

Explanation:

If 1/3rd of John's stamps are Indian stamps, and he has 36 Indian stamps, we can use this information to find the total number of stamps he has.

Let's denote the total number of stamps John has as "T."

Since 1/3rd of the stamps are Indian stamps, we can set up the equation:

(1/3) * T = 36

To solve for T, we need to isolate T by multiplying both sides by 3:

(1/3) * T * 3 = 36 * 3 T = 36 * 3 T = 108

So, John has a total of 108 stamps from different countries.

Let's denote the total number of stamps John has as "T."

Since 1/3rd of the stamps are Indian stamps, we can set up the equation:

(1/3) * T = 36

To solve for T, we need to isolate T by multiplying both sides by 3:

(1/3) * T * 3 = 36 * 3 T = 36 * 3 T = 108

So, John has a total of 108 stamps from different countries.

7.### 1024+1025+___=1025+1025+1025
What number will come in the blank to make the number sentence correct?

Answer:
1026

Explanation:

To make the number sentence correct, we need to find the number that, when added to 1024 and 1025, will equal the sum of 1025, 1025, and 1025. Since 1024 + 1025 = 2049, we can subtract this sum from the desired sum of 3075 (which we get from adding 1025 + 1025 + 1025) to find the missing number. Therefore, 3075 - 2049 = 1026. So, the number that will come in the blank to make the number sentence correct is 1026.

8.### Two angles of a triangle measure 35 degrees and 65 degrees. What is the measure of the third angle of the triangle?

Answer:
80 degrees

Explanation:

In a triangle, the sum of all angles is fixed at 180 degrees. Given angles of 35 and 65 degrees, subtracting their sum from 180 reveals the third angle's measure. Hence, the third angle in this triangle is 80 degrees, maintaining the total sum of 180 degrees

9.### The sum of any THREE angles of a rectangle is:

Answer:
270 degrees

Explanation:

When we talk about the sum of angles in a rectangle, we usually refer to the sum of all four angles. Since each angle in a rectangle is a right angle (90 degrees), the sum of all four angles is 360 degrees. However, if we were to add up any three angles in a rectangle, the sum would indeed be 270 degrees, because each angle is 90 degrees and 90*3 = 270. This is more of a theoretical situation, as a rectangle always has four angles.

10.### The ratio of 500 ml to 2 liters is:

Answer:
1:4

Explanation:

The ratio of 500 ml to 2 liters can be found by converting both quantities to the same unit, which is milliliters. Since 1 liter is equal to 1000 milliliters, 2 liters is equal to 2000 ml. So, we have 500 ml compared to 2000 ml. Simplifying the ratio by dividing both quantities by their greatest common divisor (which is 500), we get a simplified ratio of 1:4. Therefore, the ratio of 500 ml to 2 liters is 1:4.

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