📘 arithmetic

1. **State the problem:** We need to determine which numbers among 109, 80, 281, 16, 382, and 308 have 4 as a factor. 2. **Recall the rule for factors:** A number $a$ is a factor o

1. **State the problem:** Calculate the sum of 84 and 379. 2. **Formula used:** Addition of two numbers is given by $$a + b$$ where $a=84$ and $b=379$.

1. **Problem statement:** Calculate the total money in the cash register from selling 37 tickets at 5 each and 59 tickets at 4 each. 2. **Formula:** Total money = (number of ticket

1. If 40% of the pupils in a school are boys, what percentage of the pupils are girls? Step 1: Understand that the total percentage of pupils is 100%.

1. Put the fractions on the top row in order starting with the smallest. Convert mixed numbers to improper fractions or decimals for easy comparison:

1. **State the problem:** Mauricio bought four bags of chips at $1.99 each and a 12-pack of cola for $5.45. He paid with a $50 bill. We need to find how much change he received. 2.

1. **State the problem:** Lana needs a total of $24 \frac{1}{2}$ yards of fabric to make a tablecloth. She already has two pieces of fabric: one is $3 \frac{1}{4}$ yards and the ot

1. **State the problem:** Owen ordered a gaming system and 3 controllers. The gaming system costs 199.95 and each controller costs 49.95. We need to find the total amount Owen paid

1. **State the problem:** Ava has £4.72 in her wallet and £17.05 in her money box. She receives an additional £19 for her birthday. We need to find the most expensive game she can

1. **State the problem:** We need to find how much cheaper it is to buy a suit and a pair of shoes together in a special offer compared to buying them separately. 2. **Identify the

1. **State the problem:** Multiply 21 by \frac{5}{7}. 2. **Formula used:** To multiply a whole number by a fraction, multiply the whole number by the numerator and then divide by t

1. The problem asks to find the value of $9 \times \frac{2}{5}$. 2. The formula for multiplying a whole number by a fraction is:

1. The problem asks to find 15% of 120 kilometres. 2. To find a percentage of a number, use the formula: $$\text{Percentage value} = \frac{\text{Percentage}}{100} \times \text{Tota

1. The problem asks to find 55% of 360 tonnes. 2. To find a percentage of a quantity, use the formula: $$\text{Percentage of quantity} = \frac{\text{percentage}}{100} \times \text{

1. The problem is to simplify the expression 3mas7. 2. Since "3mas7" is not a standard mathematical expression, we interpret it as a typo or unclear input.

1. The problem is to divide 136 by 2.8. 2. The formula for division is $$\frac{a}{b}$$ where $a$ is the dividend and $b$ is the divisor.

1. The problem is to understand how to divide numbers. 2. Division is the process of splitting a number into equal parts or groups.

1. **State the problem:** Jim had his hair cut for 35 and wants to tip the barber 20% of the total cost. 2. **Formula for tip calculation:** Tip amount = Total cost \times Tip perc

1. The problem is to evaluate the expression $5 + (-8)$. 2. When adding a negative number, it is equivalent to subtracting the positive value of that number. So, $5 + (-8)$ is the

1. The problem is to multiply 18 by 5. 2. The formula for multiplication is $a \times b = c$, where $a$ and $b$ are numbers and $c$ is their product.

1. The problem asks to evaluate the expression $2 - 2 + 2$. 2. The order of operations states that addition and subtraction are performed from left to right.