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ICSE Class 10 Algebra: Equations, Inequations & Matrices — practice questions

Explore 212 free Algebra: Equations, Inequations & Matrices questions in ICSE Class 10 Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Algebra: Equations, Inequations & Matrices questions and exercises with answers

Showing questions 1–30 of 212.

Biggest x allowedRead the answer and worked solution →Flip the sign or notRead the answer and worked solution →Inequality facts, true or falseRead the answer and worked solution →The inequality rulesRead the answer and worked solution →Inequalities, higher or lowerRead the answer and worked solution →Quick inequality picksRead the answer and worked solution →Match inequality to its rangeRead the answer and worked solution →If 4:7 = 20:x, what is x?Read the answer and worked solution →Find the mean proportional between 9 and 25.Read the answer and worked solution →In continued proportion 3, 6, x, find x.Read the answer and worked solution →If a:b=3:5, what is b:a by invertendo?Read the answer and worked solution →Given x:y=3:5, find (x+y):y.Read the answer and worked solution →If a:b=7:4, evaluate (a−b):(a+b).Read the answer and worked solution →For a:b=5:3, what is (a+b):(a−b)?Read the answer and worked solution →If 5:7 = x:21, determine x.Read the answer and worked solution →The ratios a:b and b:c are 2:3 and 4:5. Determine a:c.Read the answer and worked solution →Find the fourth proportional to 8, 12 and 10.Read the answer and worked solution →Eight notebooks cost ₹120. At the same rate, what do 15 notebooks cost?Read the answer and worked solution →Six metres of ribbon cost ₹252. What is the cost of 10 metres at the same rate?Read the answer and worked solution →Three kilograms of flour make 24 rolls. How many rolls can 5 kg make at the same rate?Read the answer and worked solution →A 250 ml drink mix serves 5 people. How much mix serves 8 at the same rate?Read the answer and worked solution →A printer produces 180 pages in 4 hours at a steady rate. How many in 7 hours?Read the answer and worked solution →On a map, 2 cm represents 5 km. What distance does 7 cm represent?Read the answer and worked solution →What is the remainder when x² + 3x + 2 is divided by x − 2?Read the answer and worked solution →Find the remainder from dividing 2x³ − x² + 4 by x + 1.Read the answer and worked solution →For x − 3 to be a factor of x² + kx − 12, find k.Read the answer and worked solution →If x + 2 divides x³ + ax² − 4x + 12, determine a.Read the answer and worked solution →A factor of x³ − 6x² + 11x − 6 is x − 1. Find all its roots.Read the answer and worked solution →Factor x³ + 2x² − x − 2 completely.Read the answer and worked solution →Given x − 2 is a factor of x³ − 4x² + x + 6, what are the other factors?Read the answer and worked solution →

Worked practice questions

Biggest x allowed

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Questions
  1. Answer
    3
    Question
    x is a whole number and 3x < 10. Largest x?
  2. Answer
    5
    Question
    x is whole and x + 4 <= 9. Largest x?
  3. Answer
    6
    Question
    x is whole and 2x - 1 <= 11. Largest x?
Instructions
Work out the largest whole x, key it in, then press enter.
_Source: syllabus Mathematics, 'Linear Inequalities' (kemh105)_

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Flip the sign or not

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Upper category
KEEP
Lower category
FLIP
Items
  1. Category
    KEEP
    Item
    Add 5
  2. Category
    FLIP
    Item
    Times -2
  3. Category
    KEEP
    Item
    Minus 3
  4. Category
    FLIP
    Item
    Divide -4
  5. Category
    KEEP
    Item
    Times 3
  6. Category
    FLIP
    Item
    Times -1
Instructions
Flip the points: does this operation reverse the inequality?
_Source: syllabus Mathematics, 'Linear Inequalities' (kemh105)_

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Inequality facts, true or false

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Questions
  1. Statement is true
    Yes
    Statement
    Multiplying both sides by -1 reverses the sign.
  2. Statement is true
    No
    Statement
    Adding 7 to both sides reverses the sign.
  3. Statement is true
    Yes
    Statement
    x = 0 satisfies x < 5.
  4. Statement is true
    No
    Statement
    Dividing by a positive number reverses the sign.
  5. Statement is true
    Yes
    Statement
    A solution makes the inequality a true statement.
Instructions
Tap True or False for each statement.
_Source: syllabus Mathematics, 'Linear Inequalities' (kemh105)_

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