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ICSE Class 10 Algebra: Simultaneous Linear Equations & Quadratics — practice questions — page 2

Explore 50 free Algebra: Simultaneous Linear Equations & Quadratics 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: Simultaneous Linear Equations & Quadratics questions and exercises with answers

Showing questions 31–50 of 50.

The tower's coordinates are found using the similarity criterion called:Read the answer and worked solution →Solving the tower problem gives the position P equal to:Read the answer and worked solution →Finding all three side lengths and then using Heron's formula for area is described as:Read the answer and worked solution →Match each similar figure concept with its definition:Read the answer and worked solution →In triangle ABC right-angled at B, BD is perpendicular to AC. If AB = 5 cm and BC = 12 cm, then BD equalsRead the answer and worked solution →The diagonals of a rhombus are 16 cm and 30 cm. The length of each side isRead the answer and worked solution →The altitude AD of an equilateral triangle ABC of side length a isRead the answer and worked solution →Match each similarity ideaRead the answer and worked solution →If sin θ = 1/2, then θ equals:Read the answer and worked solution →CLASS10 · Mathematics · Standard Angle ValuesRead the answer and worked solution →A cylindrical tube with a rounded end is a cylinder with a:Read the answer and worked solution →Two consecutive integers 11 and 13 are the central terms of an even-n sorted list. The median is:Read the answer and worked solution →Match each area ratio property of similar triangles with its rule:Read the answer and worked solution →In triangle ABC, points P and Q are on AB and AC such that PQ is parallel to BC. If AP = x, PB = 6, AQ = 4, QC = 9, then x equalsRead the answer and worked solution →If a point is reflected in the y-axis, the new co-ordinates of (a, b) becomeRead the answer and worked solution →If 2x + 5 = 17, x =Read the answer and worked solution →$\sin(180° - \theta)$ equals:Read the answer and worked solution →Solve the system: x + y = 5, x − y = 1.Read the answer and worked solution →Solve: 3(x − 2) = 12.Read the answer and worked solution →Slope of y = 4x − 7 is:Read the answer and worked solution →

Worked practice questions

The tower's coordinates are found using the similarity criterion called:

  1. RHS
  2. AA
  3. SSS
  4. SAS
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Correct answer: B. AA

1. Perpendiculars from P and B make two triangles. 2. They share two equal angles. 3. So the AA similarity criterion applies. _Source: syllabus Mathematics, Chapter 7, Coordinate Geometry._

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Solving the tower problem gives the position P equal to:

  1. (18, 7)
  2. (24, 10)
  3. (12, 5)
  4. (5, 12)
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Correct answer: C. (12, 5)

1. The similar triangles give x over 36 minus x equals a half. 2. The same for y over 15 minus y. 3. So x is 12 and y is 5. _Source: syllabus Mathematics, Chapter 7, Coordinate Geometry._

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Finding all three side lengths and then using Heron's formula for area is described as:

  1. Tedious
  2. Quick
  3. Exact
  4. Modern
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Correct answer: A. Tedious

1. The side lengths may be irrational numbers. 2. Heron's formula then gets messy. 3. So the method is called tedious. _Source: syllabus Mathematics, Chapter 7, Coordinate Geometry._

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