Number

Evaluate: $2 - (-18)$.

What is $(-42) \div (-7)$?

Evaluate the product: $(-8) \times 6$.

Find the sum: $13 + (-20)$.

Calculate the following: $(-8) + (-8) \div (-8) - (-8)$.

If $x = -1$, evaluate the expression $5x^3$.

Find the result of $15 \div (-3) \times (-4)$.

A mathematical transformation machine takes a pair of integers $(x, y)$ and produces a new pair according to the following rule:

$T(x, y) = \left(x + 3y, \ \frac{x \times y}{-2}\right)$

If the machine starts with the initial input pair $(4, -2)$ and then the transformation is applied a second time to the resulting output, what is the sum of the two integers in the final pair?

In a magic square, the sum of the integers in each row, each column, and both main diagonals is the same. In the magic square below, this 'magic sum' is $0$. First, determine the values of the missing integers $x, y, z$, and $w$, then calculate the exact value of the expression: $(x \times w) - (y \times z)$.

An integer $n$ is processed through a sequence of mathematical operations as shown in the flow diagram below. If the final output is $-20$, what is the value of the original integer $n$?

Write $\frac{1}{20}$ as a decimal.

Find $5\%$ of $200$.

Convert $0.625$ to a fraction.

What is $\frac{2}{5}$ of $20$?

A piece of ribbon $10$ meters long is cut into pieces that are each $\frac{2}{5}$ meters long. How many pieces can be cut?

If $x = 0.4$, what is the value of $x^2 + 0.04$?

Write $0.075$ as a fraction in its lowest terms.

A container holds 5 liters of a $20\%$ sugar solution. If 3 liters of water evaporate, what is the new percentage concentration of sugar?

If $0.3x = 0.09$, and $0.4y = 0.008$, what is the value of $\frac{x}{y}$?

A person spends $\frac{1}{4}$ of their salary on rent, $\frac{1}{3}$ of the remainder on food, and $20\%$ of the original salary on savings. What fraction of the salary is left?

What is $40\%$ expressed as a fraction in its simplest form?

What is the decimal $0.55$ expressed as a fraction in its simplest form?

Convert the fraction $\frac{7}{25}$ to a percentage.

What is $22\%$ expressed as a decimal?

Express the fraction $\frac{5}{9}$ as a recurring decimal.

Convert the decimal $0.032$ into a percentage.

What is $6.2\%$ expressed as a fraction in simplest form?

A chef is preparing a signature fruit salad. The proportions of the ingredients by weight are listed in the table below:

What fraction of the total weight of the fruit salad consists of oranges? Express your answer in its simplest form.

A land developer is planning a community park. The total land area is divided into four sections as shown in the table below. What fraction of the total land is reserved for the Grass area, expressed in its simplest form?

Evaluate the following expression and express your result as a fraction in its simplest form:

$0.58\dot{3} - \left( \frac{1}{4} + 15\% \right)$

Simplify the ratio $9:27$.

What is the ratio of $80$ cm to $2$ m in simplest form?

If a dozen eggs cost $\$2.40$, what is the cost per egg?

Solve for $x$: $x:10 = 7:2$.

The sides of a triangle are in the ratio $3:4:5$. If the perimeter of the triangle is $60$ cm, what is the length of the longest side in cm?

A train travels at a speed of $90$ km/h. How many meters does the train travel in one minute?

An object has a mass of $450$ grams and a volume of $30$ cm$^3$. What is its density in grams per cm$^3$?

If $x$ varies directly as $y$ and inversely as $z$, and $x=10$ when $y=5$ and $z=3$, find $x$ when $y=8$ and $z=12$.

Two circles have radii in the ratio $3:4$. What is the ratio of the areas of two sectors, one from each circle, if both sectors have the same central angle?

A speed of $54 \text{ km/h}$ is equivalent to what ratio in meters per second?

Evaluate $\sqrt{0}$.

Calculate the value of $2^3$.

What is the value of $\sqrt{25}$?

Evaluate $3^3$.

Simplify $\frac{k^7 \cdot k^0}{k^6}$.

What is the value of $3^2 \times (2^3 - 5)$?

Evaluate $\sqrt{9 \times 16}$.

A sequence of three squares is created. The first square has an area of $2^{24}$ square units. The side length of each subsequent square is equal to the square root of the side length of the previous square. What is the area of the third square in this sequence?

Simplify: $\frac{7^{10} \times 7^2}{(7^3)^4}$

Solve for $y$: $\sqrt{y - 5} = 4$.

Write $0.0002$ in scientific notation.

Convert $9.99 \times 10^1$ to standard form.

Express $0.00000055$ in scientific notation.

Write $60,600,000$ in scientific notation.

Calculate $(6 \times 10^{12}) \div (3 \times 10^{15})$ and write in scientific notation.

Find the product of $0.0004$ and $0.000002$ in scientific notation.

Convert $1.001 \times 10^4$ to standard form.

Which of the following is equivalent to $0.0004 \times 0.000002$?

Evaluate $2.4 \times 10^5 + 7.6 \times 10^4$ and then divide by $10^2$. Result in scientific notation?

A light-year is $9.46 \times 10^{15}$ meters. A parsec is $3.08 \times 10^{16}$ meters. How many light-years are in one parsec?

What is the simple interest on $₹1,000$ at $1\%$ per annum for $1$ year?

A cushion bought for $₹450$ is sold with a profit of $₹50$. What is the selling price?

If $₹600$ is invested at a simple interest rate of $10\%$ per annum for $1$ year, what is the final amount?

A wallet bought for $₹20$ was sold for $₹25$. Calculate the profit percentage.

At what rate of simple interest will a sum of $5,000$ become $6,000$ in $4$ years?

If the selling price is $240$ and the profit is $20\%$, find the profit amount.

A bank pays $4\%$ simple interest per year. If an account holder receives $200$ in interest after $5$ years, what was the balance?

A sum of Rs 2400 amounts to Rs 3264 in 4 years at a certain rate of simple interest. If the rate of interest is increased by $1\%$, what will be the new amount after the same period?

A person sells a machine for Rs 432 at a loss of $10\%$. At what price should he have sold it to gain $10\%$?

A sum of money was lent at a certain rate of simple interest for 2 years. If it had been lent at $3\%$ higher rate, it would have fetched Rs 300 more. What was the original sum of money?

A remote control car travels $12$ meters in $4$ seconds. What is its speed in meters per second?

If $6$ packs of gum cost $3.00$ dollars, what is the cost of one pack of gum?

A student writes $500$ words in $10$ minutes. what is the writing rate in words per minute?

$3$ workers build $9$ walls in a week. On average, how many walls does each worker build?

A baker uses $450$ grams of sugar for $18$ cupcakes. How many grams of sugar are used per cupcake?

If the exchange rate is $1$ USD = $0.85$ EUR, how many EUR would you get for $120$ USD?

A garden hose delivers $15$ liters of water in $45$ seconds. How many liters does it deliver in $5$ minutes?

A reservoir manages its water level using three different pipes with the following specifications:

If the reservoir has a total capacity of $117$ $m^3$ and starts completely empty, how many hours will it take to fill to capacity with all three pipes operating at the same time?

Two internet service providers (ISPs) offer different data transfer speeds as shown in the table below:

Note: $1$ Byte = $8$ bits and $1$ Gigabit = $1000$ Megabits. How many seconds faster will a $12$-Gigabit file download using ISP Beta compared to ISP Alpha?

A factory produces $3$ defective items for every $200$ items made. If the factory produced $45$ defective items yesterday, how many non-defective items were produced?