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Number and Algebra Foundations - MYP Questionbank | RevisionDojo

Practice Number and Algebra Foundations with authentic MYP MYP Standard 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

Simplify the expression $\sqrt{27} - \sqrt{12}$ .

Question 2

Based on the textbook definition, what is the defining characteristic of a mathematical 'problem'?

Question 3

If both the length and the width of a rectangle are increased by a factor of $10$ , by what factor will the area of the rectangle increase?

Question 4

Without using a calculator, determine which of the following statements is correct.

Question 5

A scientist measures the speed of an ant as $4 \text{ mm s}^{-1}$ . How far does the ant travel in one minute, expressed in centimeters?

Question 6

The textbook uses the analogy of 'navigating a city' to describe problem solving. What does this analogy imply about having a plan?

Question 7

Based on the properties of absolute value and square roots in the real number system, which of the following expressions is defined as a real number for all real values of $k$ ?

Question 8

Simplify the expression $(-1)^n \times (-1)^{n+1}$ for any integer $n$ .

Question 9

If $x$ is an irrational number, which of the following expressions is guaranteed to also be an irrational number?

Question 10

Which of the following statements about the number $\sqrt{\frac{4}{5}}$ is correct?

Type

Difficulty

Question 1

Simplify the expression $\sqrt{27} - \sqrt{12}$ .

Question 2

Based on the textbook definition, what is the defining characteristic of a mathematical 'problem'?

Question 3

If both the length and the width of a rectangle are increased by a factor of $10$ , by what factor will the area of the rectangle increase?

Question 4

Without using a calculator, determine which of the following statements is correct.

Question 5

A scientist measures the speed of an ant as $4 \text{ mm s}^{-1}$ . How far does the ant travel in one minute, expressed in centimeters?

Question 6

The textbook uses the analogy of 'navigating a city' to describe problem solving. What does this analogy imply about having a plan?

Question 7

Based on the properties of absolute value and square roots in the real number system, which of the following expressions is defined as a real number for all real values of $k$ ?

Question 8

Simplify the expression $(-1)^n \times (-1)^{n+1}$ for any integer $n$ .

Question 9

If $x$ is an irrational number, which of the following expressions is guaranteed to also be an irrational number?

Question 10

Which of the following statements about the number $\sqrt{\frac{4}{5}}$ is correct?

Type

Difficulty

Question 1

Simplify the expression $\sqrt{27} - \sqrt{12}$ .

Question 2

Based on the textbook definition, what is the defining characteristic of a mathematical 'problem'?

Question 3

If both the length and the width of a rectangle are increased by a factor of $10$ , by what factor will the area of the rectangle increase?

Question 4

Without using a calculator, determine which of the following statements is correct.

Question 5

A scientist measures the speed of an ant as $4 \text{ mm s}^{-1}$ . How far does the ant travel in one minute, expressed in centimeters?

Question 6

The textbook uses the analogy of 'navigating a city' to describe problem solving. What does this analogy imply about having a plan?

Question 7

Based on the properties of absolute value and square roots in the real number system, which of the following expressions is defined as a real number for all real values of $k$ ?

Question 8

Simplify the expression $(-1)^n \times (-1)^{n+1}$ for any integer $n$ .

Question 9

If $x$ is an irrational number, which of the following expressions is guaranteed to also be an irrational number?

Question 10

Which of the following statements about the number $\sqrt{\frac{4}{5}}$ is correct?

Number and Algebra Foundations Questionbank