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CSEE (Form 4) Mathematics — practice by topic

Browse 50 questions across 39 Mathematics topics. Choose what you want to revise, then open a question to check its answer and worked solution.

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Which description fits an irrational number?Read the answer and worked solution →A number written in decimal form runs on forever with no repeating pattern of digits. What is it?Read the answer and worked solution →An algebraic expression has exactly three terms. What is it called?Read the answer and worked solution →What does exponential notation give a short way of writing?Read the answer and worked solution →

Worked practice questions

Which description fits an irrational number?

  1. Not a fraction of two integers
  2. Any fraction of two integers
  3. Any number with a decimal point
  4. Any number larger than zero
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Correct answer: A. Not a fraction of two integers

1. A rational number can be written as one integer over another integer. 2. Irrational numbers are numbers that cannot be written as a fraction with the numerator and denominator as integers. 3. Every integer is rational, since it can be written with a denominator of one. _Source: Siyavula Mathematics Grade 10 (Everything Maths, CC BY 4.0), Chapter 1: Algebraic expressions_

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A number written in decimal form runs on forever with no repeating pattern of digits. What is it?

  1. It is rational
  2. It is irrational
  3. It is an integer
  4. It is undefined
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Correct answer: B. It is irrational

1. To classify a number, first write it in decimal form. 2. If the decimal terminates then the number is rational. 3. If it goes on forever, look for a repeated pattern of digits, which would also make it rational. 4. With no terminating point and no repeated pattern, the number is irrational. _Source: Siyavula Mathematics Grade 10 (Everything Maths, CC BY 4.0), Chapter 1: Algebraic expressions_

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An algebraic expression has exactly three terms. What is it called?

  1. A binomial
  2. A monomial
  3. A trinomial
  4. A quadratic
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Correct answer: C. A trinomial

1. Parts of algebraic expressions are named after how many terms they hold. 2. A monomial has one term and a binomial has two terms. 3. A trinomial is an expression with three terms. _Source: Siyavula Mathematics Grade 10 (Everything Maths, CC BY 4.0), Chapter 1: Algebraic expressions_

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