Advanced Number and Bounds - MYP Questionbank | RevisionDojo

Advanced Number and Bounds - MYP Questionbank | RevisionDojo

Practice Advanced Number and Bounds with authentic MYP MYP Extended Mathematics exam questions for both SL and HL students. This question bank mirrors Paper 1, 2, 3 structure, covering key topics like core principles, advanced applications, and practical problem-solving. Get instant solutions, detailed explanations, and build exam confidence with questions in the style of MYP examiners.

Type

Difficulty

Question 1

A triangle has a base of $10$ cm, measured to the nearest centimetre, and a height of $5.0$ cm, measured to the nearest $0.1$ cm. Find the lower bound for the area of the triangle.

Question 2

A measurement is recorded as $x = 0.4$ rounded to $1$ significant figure. Determine the rounding step, $a$ , that is used to calculate the upper and lower bounds of this measurement.

Question 3

Simplify the expression $\left(\frac{1}{64}\right)^{-\frac{1}{3}}$ without using a calculator.

Question 4

Fill in the Blank: When using exponent laws to simplify the product ${x^{n-1} \cdot x^{n+1}}$ , where ${x \neq 0}$ , the result is ________.

Question 5

Evaluate the following expression without using a calculator: $\left(\frac{1}{4}\right)^{-0.5} + \left(\frac{1}{8}\right)^{-\frac{1}{3}}$

Question 6

A physical frequency is defined as $f = \frac{1}{t}$ . If $t = 0.040$ s correct to 2 significant figures, calculate the lower bound of the frequency $f$ .

Question 7

True or False: In a continuous measurement interval $L \le T < U$ , if the original value was rounded up to the recorded value, the true value $T$ must have been in the sub-interval $[L, x)$ .

Question 8

Simplify the following expression using exponent laws:

\frac{27^{\frac{2}{3}} \cdot 3^{-1}}{9^{\frac{1}{2}}}

Question 9

The acceleration of a particle is given by the formula

$a = \frac{v^2}{r}$

If $v = 10 \text{ m s}^{-1}$ (to the nearest integer) and $r = 5.0 \text{ m}$ (to the nearest $0.1 \text{ m}$ ), find the lower bound of the acceleration $a$ .

Question 10

Simplify the following expression:

\frac{y^7 \cdot y^{-3}}{y^2 \cdot y^2}

Practice Advanced Number and Bounds with authentic MYP MYP Extended Mathematics exam questions for both SL and HL students. This question bank mirrors Paper 1, 2, 3 structure, covering key topics like core principles, advanced applications, and practical problem-solving. Get instant solutions, detailed explanations, and build exam confidence with questions in the style of MYP examiners.

Type

Difficulty

Question 1

A triangle has a base of $10$ cm, measured to the nearest centimetre, and a height of $5.0$ cm, measured to the nearest $0.1$ cm. Find the lower bound for the area of the triangle.

Question 2

A measurement is recorded as $x = 0.4$ rounded to $1$ significant figure. Determine the rounding step, $a$ , that is used to calculate the upper and lower bounds of this measurement.

Question 3

Simplify the expression $\left(\frac{1}{64}\right)^{-\frac{1}{3}}$ without using a calculator.

Question 4

Fill in the Blank: When using exponent laws to simplify the product ${x^{n-1} \cdot x^{n+1}}$ , where ${x \neq 0}$ , the result is ________.

Question 5

Evaluate the following expression without using a calculator: $\left(\frac{1}{4}\right)^{-0.5} + \left(\frac{1}{8}\right)^{-\frac{1}{3}}$

Question 6

A physical frequency is defined as $f = \frac{1}{t}$ . If $t = 0.040$ s correct to 2 significant figures, calculate the lower bound of the frequency $f$ .

Question 7

True or False: In a continuous measurement interval $L \le T < U$ , if the original value was rounded up to the recorded value, the true value $T$ must have been in the sub-interval $[L, x)$ .

Question 8

Simplify the following expression using exponent laws:

\frac{27^{\frac{2}{3}} \cdot 3^{-1}}{9^{\frac{1}{2}}}

Question 9

The acceleration of a particle is given by the formula

$a = \frac{v^2}{r}$

If $v = 10 \text{ m s}^{-1}$ (to the nearest integer) and $r = 5.0 \text{ m}$ (to the nearest $0.1 \text{ m}$ ), find the lower bound of the acceleration $a$ .

Question 10

Simplify the following expression:

\frac{y^7 \cdot y^{-3}}{y^2 \cdot y^2}