Number

Of the numbers $-15$, $-10$, and $-5$, which one has the largest value?

On a vertical number line (like a thermometer), in which direction are the negative integers located?

Which number is located $2$ units to the right of $-5$ on the number line?

What is the absolute value of $14$?

A climber starts at $150$ meters above sea level. They descend $200$ meters into a valley. What is their new elevation?

If the opposite of an integer is $21$, what is the absolute value of that integer?

What is the value of $|-15| - |-7|$?

An explorer is navigating a vertical cliff face where sea level is represented by the integer $0$.

1. The explorer starts at a cave, point $A$, located at $-20$ meters (below sea level).
2. They climb to a ledge, point $B$, which is the reflection of point $A$ across an anchor located at $-6$ meters.
3. From ledge $B$, they descend to a supply cache, point $C$, such that the distance between $B$ and $C$ is exactly half of the absolute value of the coordinate of point $A$.

Find the integer that represents the midpoint between the additive inverse of the coordinate of $B$ and the additive inverse of the coordinate of $C$ on the number line.

An underwater research drone starts at sea level ($0$ meters) and follows a vertical path described by these steps:

1. It descends to point $A$ such that $|A| = 100$ meters.
2. It moves to point $B$, which is deeper than $A$. The distance between point $A$ and point $B$ is twice the distance from sea level to point $A$.
3. Point $D$ is the reflection of point $B$ across the integer $-50$ on the vertical number line.
4. Point $C$ is the midpoint between point $A$ and point $D$.

What integer represents the vertical position of point $C$?

The sum of two integers is $-5$ and their product is $6$. What is the absolute difference between these two integers?

What is $(-7) - 2$?

Calculate $(-24) \div (-6)$.

Evaluate $10 \times (-5)$.

What is the value of $6 - (-6)$?

Calculate the result of $(-16) \div 2 \times (-1)$.

Which of these comparisons is true?

At midnight, the temperature was $-5^\circ C$. By $6$ AM, it had fallen by $4^\circ C$. What was the temperature at $6$ AM?

Which integer, when multiplied by $-7$ and then added to 15, gives a result of $-20$?

Solve for $n$: $20 - (n - 5) = -10 \times (-3) + 5$.

Calculate the value of: $\frac{(-8) \times (-3) + (-4) \times 9}{2^2 - 1}$.

Which of these is a factor of $36$?

What is the highest common factor ($HCF$) of $10$ and $100$?

What is the lowest common multiple ($LCM$) of $2, 3,$ and $4$?

Which of these is a multiple of $15$?

What is the sum of all the prime numbers less than $10$?

Three bells ring at intervals of $4, 6,$ and $10$ minutes. If they all ring together now, after how many minutes will they next ring together again?

Identify a multiple of $15$ that is also a factor of $150$.

How many multiples of 13 are there between 100 and 200?

If $a$ and $b$ are consecutive integers, what is their $HCF$?

What is the smallest three-digit prime number?

Determine the Lowest Common Multiple (LCM) of $6$ and $8$.

What is the Highest Common Factor (HCF) of $4$, $8$, and $12$?

Find the Lowest Common Multiple (LCM) of $2$, $3$, and $5$.

What is the Highest Common Factor (HCF) of $33$ and $44$?

If the HCF of two numbers is $1$ and their LCM is $143$, what could the two numbers be?

What is the LCM of $18$, $27$, and $45$?

Find the largest number that divides $144$ and $216$ exactly.

If $\text{LCM}(12, x) = 60$ and $\text{HCF}(12, x) = 4$, find $x$.

Two strings of lengths $1.5\text{ m}$ and $2.25\text{ m}$ are cut into equal shorter pieces. What is the minimum number of pieces that can be obtained?

Find the greatest number that will divide $445, 572,$ and $699$ leaving remainders $4, 5,$ and $6$ respectively.

Which fraction is closest to 1?

Find the missing denominator: $\frac{2}{5} = \frac{4}{?}$?

What is the value of $\frac{10}{10}$?

Which fraction is greater: $\frac{4}{9}$ or $\frac{4}{11}$?

In a bag of 60 marbles, $\frac{1}{3}$ are red, $\frac{1}{4}$ are blue, and the rest are green. How many marbles are green?

Solve for $x$: $\frac{14}{21} = \frac{x}{3}$.

Which of the following is equivalent to $\frac{13}{20}$?

A wood plank is $8\frac{2}{5}$ feet long. A carpenter cuts off a piece that is $3\frac{7}{10}$ feet long. How long is the remaining part?

If $\frac{2}{x} = \frac{10}{25}$, what is $x$?

Find the sum of the numerators of the next two equivalent fractions in the sequence: $\frac{1}{4}, \frac{2}{8}, \frac{3}{12}, ...$

Subtract: $\frac{5}{6} - \frac{1}{3}$.

Convert $\frac{20}{6}$ to a mixed number and simplify.

What is $\frac{2}{7} + \frac{3}{7} + \frac{1}{7}$?

Which fraction is equivalent to $\frac{3}{4}$?

Divide $3 \frac{1}{3}$ by $10$.

Calculate $4 \frac{1}{2} \times \frac{2}{3}$.

Solve: $9 - 3 \frac{5}{12}$.

A car's fuel tank is $\frac{1}{8}$ full. After adding 35 liters, it is $\frac{3}{4}$ full. How many liters does the tank hold in total?

Find the value of $k$ if $k + \frac{2}{3}k = 25$.

A pipe can fill $\frac{1}{3}$ of a pool in 2 hours. How many more hours will it take to fill the rest of the pool?

What is the value of the digit $6$ in the number $0.06$?

What is the difference between $1$ and $0.01$?

Round $0.456$ to two decimal places.

What is the sum of $\frac{5}{10}$ and $\frac{3}{100}$ expressed as a decimal?

Which of these decimals is the largest?

What is $0.08$ divided by $10$?

Multiply $1.23$ by $0.5$.

A number has a $4$ in the hundred-thousandths place. What is the value of this digit?

Subtract $0.0009$ from $0.01$.

How many $0.001$s are in $1.1$?

Multiply $2.2$ by $4$.

Subtract $0.88$ from $8.8$.

What is the result of $7.2 + 0.005$?

What is $0.0004 \times 1000$?

A notebook costs $\$3.45$ and a ruler costs $\$1.20$. If Maria buys two notebooks and three rulers, how much does she spend in total?

Divide $0.015$ by $0.5$.

Calculate $10.1 - 2.02 \times 4$.

A data plan costs $\$15.00$ for the first $5$ GB and $\$4.50$ for every $1$ GB (or part thereof) after that. If a user consumes $8.2$ GB, what is the total cost?

The temperature at 6:00 AM was $-2.4^{\circ}C$. By noon, it had risen by $10.75^{\circ}C$. By 6:00 PM, it had fallen by $4.85^{\circ}C$. What was the temperature at 6:00 PM?

A car's odometer shows $12,450.8$ km. After a trip, it shows $12,702.35$ km. If the car used $21.5$ liters of fuel for this trip, what was the average fuel consumption in kilometers per liter?

What is $99\%$ expressed as a decimal?

Convert $\frac{1}{50}$ to a decimal.

What is $0.7$ expressed as a percentage?

Express $\frac{2}{100}$ as a percentage.

Which of these is equivalent to $0.02$?

Convert $88\%$ to a fraction in its simplest form.

Write $0.01$ as a fraction.

If $\frac{5}{9}$ of a quantity is $45$, what is $0.2$ of that same quantity?

In a school of 800 students, $\frac{3}{5}$ are girls. $25\%$ of the girls play soccer. What decimal represents the portion of the entire school that are girls playing soccer?

A test has 50 questions. A student gets $80\%$ correct. Of the incorrect answers, $\frac{2}{5}$ were due to simple calculation errors. How many questions were missed due to calculation errors?

Which ratio is equivalent to $2:3$?

If a dozen eggs cost $\$2.40$, what is the cost of $1$ egg?

What is the ratio of the number of sides in a triangle to the number of sides in a hexagon?

A baker uses $2$ cups of sugar for every $5$ cups of flour. If he uses $10$ cups of sugar, how many cups of flour does he need?

In a survey, $15$ out of $25$ students said they prefer pizza over pasta. What is the ratio of students who prefer pasta to students who prefer pizza in simplest form?

A rectangle has a perimeter of $60$ cm. The ratio of its length to its width is $3:2$. What is the area of the rectangle?

A store sells a $500$g box of cereal for $\$4.50$ and a $750$g box for $\$6.00$. Which box is the better value, and what is its cost per $100$g?

Three people $A$, $B$, and $C$ can finish a job in $6$, $8$, and $12$ hours respectively. What is the ratio of their work rates?

A map uses a scale where $0.5$ cm represents $2$ km. A rectangular park has an actual area of $24$ km$^2$. If the length of the park on the map is $1.5$ cm, what is the width of the park on the map?

Two numbers are in the ratio $5:7$. If $4$ is subtracted from each number, the ratio becomes $2:3$. What is the sum of the two original numbers?

What is the value of $10^1$?

What is the square root of $0$?

Calculate the value of $4^3$.

A square has an area of $16$ $mm^2$. What is the length of its side?

What is the value of the numerical expression $2^3 \times (\sqrt{81} - 2^2)$?

What is the value of $\sqrt{625}$?

Evaluate: $11^2 + \sqrt{1}$.

Find the value of $\sqrt{256} \times \sqrt{0.25}$.

Evaluate the sum: $2^1 + 2^2 + 2^3 + 2^4$.

Find the value of $x$ if $\sqrt{x + 11} = 6$.

What is the standard form of $60,000 + 400 + 2$?

Round $195$ to the nearest ten.

In the number $56,789$, which digit has the greatest value?

What is the smallest $4$-digit number that can be formed using the digits $0, 1, 2,$ and $3$ (using each only once, without a leading zero)?

What is the smallest whole number that rounds to $800,000$ when rounded to the nearest hundred thousand and also rounds to $750,000$ when rounded to the nearest ten thousand?

How do you write 'four hundred five thousand, six' in standard form?

Which digit in $4,561,230$ is in the thousands place?

Find the sum of the values of the two $4$s in the number $4,040,000$.