NBT MAT free questions

$\sqrt{\sqrt{9+\sqrt{49}} + \sqrt{\sqrt{49}+18}} =$

$\text{Find the solution to this equation }x^{\frac{1}{2}}*\sqrt{x}*x^{\frac{1}{2}}*\sqrt{x}= x^{\frac{1}{2}}*\sqrt{x}*x^{\frac{1}{2}}$

Evaluate the following $\sum_{n=3}^{12}3n+3$

If the ratio of $x$ to $y$ is 3:4 and the ratio of $y$ to $z$ is 5:6, what is the ratio of $x$ to $z$?

If $f(-x)=-f(x)$ it means that the function is

The function $f(x) = x^2 + 2x - 3$ is reflected over the y-axis. What is the equation of the new function?

Find the inverse of the function $f(x)=\frac{1+4x}{x}+1$

The linear graph $f'(x)=-3$. For which $x$ values will the graphs of $f(x)$ be increasing

Find $\tan ⁡A$ in terms of $n$ if $\sin ⁡A =\frac{1}{n}$

Which of the following matches this graph?

The figure below is a triangular prism with $BA=BC=5\hspace{1mm}units$, $A\stackrel{\wedge}{B}C = 50$ and $F\stackrel{\wedge}{A}C = 25$ Determine and expression for the length of AC in terms of $\sin$

In the diagram below, $ABC$ is a right-angled triangle. $KC$ is the bisector of $\angle ACB$. $CB = r$ units and $\angle BCK = x$. Write down $AB$ in terms of $r$ and $x$.

In the accompanying diagram, ∆PQR is a right-angled triangle with $\stackrel{\wedge}Q=90$ . ST is the perpendicular bisector of PR. Given ΔPQR ||| ΔPTS and PR=6 cm, QR=5 cm Calculate PS

In the diagram below, O is the centre if the circle. BD is a diameter of the circle. GEH is a tangent on the circle at E. F and C are two points on the circle and FB, FE, BC, CE and BE are drawn $\overset{\wedge}{E}=32°$ and $\overset{\wedge}{E}=56°$ Which one of the following is true ?

The scores on a test are 72, 88, 91, 79, 85, and 94. What is the mean score?

In a class, the ratio of boys to girls is 5:7. If there are 35 boys, how many girls are there?

Emma borrows R2000 from a bank at a simple interest rate of 4% per year. If she repays the loan after 4 years, what is the total amount she will have paid?

Lerato decides to start saving money for a dream vacation. She plans to deposit R2,000 at the end of every quarter into an account at Prosperity Bank, which earns 8% interest per annum, compounded quarterly. She will make these deposits for the next 5 years. Payments start 6 months after the account is opened. How many payments will she make in total?

A card is drawn at random from a deck of cards. Find the probability of getting a queen.

The diagram shows the net of a cube whose faces are numbered. Sascha adds the numbers that are on opposite faces of the cube. Which three results does he get?