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I can do calculations like 5+5, 2*(7+8), 3/9, sin(45), five times five, sqrt(16) or 2^10.

id: 1111

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Glossary

Count : To count means to find out the number of objects by adding one for every object.

Hint

Count up by 5 starting at 5.

Solution

The correct answer is 10. $5+5=10.$

What is 5+5?

id: 5723

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Glossary

Hundredths digit : The hundredths digit digit is the second digit after the decimal point. It counts multiples of $\frac{1}{100}.$

Number : A number $x$ is a mathematical symbol representing a quantity.

Round : Round can be a property of a shape, meaning that it does not have any corners. For example a circle can be described as round. A number can be informally described as round if it does end in one or several zeros such that rounding that number to a certain number of digits does not change the number.

Rounding : Rounding is the operation of changing a number to a number that is close to the original number. Rounded numbers are often used to do quick rough calculations for estimation purposes. For example rounding $4549$ to the nearest thousand results in 5000, rounding the same number to the nearest hundred results in 4500. In general one rounds up if the digit after the digit we try to round to is 5 or more, otherwise one rounds down.

Tenth : Tenth refers to the number $\frac{1}{10}=0.1=10^{-1}.$

Hint

Check the hundredths digit. Round up if it is at least 5 otherwise round down.

Solution

The correct answer is 0.6. The hundredths digit is 1. Because 1 is less than 5 we need to round down.

What number do you get if you round 0.6152 to the nearest tenth?

id: 7522

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Glossary

Area : The amount of unit squares that is needed to cover a 2-dimensional shape.

Circle : A circle is a two-dimensional shape. The boundary of a circle is a set of points that has the same distance (the radius) from the center of the circle.

Diameter : The diameter of a circle is the length of a line segment from the boundary of a circle through the center of the circle to the boundary on the other side of the circle.

Equation : An equation is a mathematical statement in which two expressions are written with an equal sign in between. A solution of an equation is a set of variables that makes the statement a true statement.

Length : Length is the attribute of a one-dimensional shape that can be measured with a measuring tape.

Pi : Pi or $\pi$ is an irrational number approximately equal to 3.14 that is defined as the quotient of the circumference and the diameter of a circle.

Radius : In a circle or sphere the radius is the distance between the center and the boundary.

Squared : $x$ squared refers to the number $x^2=x\cdot x.$ For example 3 squared equals 9.

Volume : Volume refers to the size of a three-dimensional objects measured by how many unit cubes it would take to fill the shape.

Hint

Only two of the formulas have an area as a result and not a length or volume.

Solution

The correct answer is A. $A=\pi(\frac{d}{2})^2=\pi r^2$ is the formula for the area of a circle with diameter $d$ and radius $r=\frac{d}{2}.$

Which formula describes the area $A$ of a circle with radius $r?$

A $A=\pi r^2$
B $A=4\pi r^2$
C $A=\frac{4}{3}\pi r^3$
D $A=2\pi r$

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