Entrance Exam for STE 7

• Practice question categories


  • Number sense and operations
  • Algebra
  • Geometry
  • Fractions, decimals and percentages
  • Measurement and conversions
  • Data analysis and probability
  • Ratio and proportion
• Net change


  The final change after an increase of 25% and a decrease of 10%
• Fraction in simplest form

  The fraction with the smallest possible numerator and denominator
• Square root


  The number that, when multiplied by itself, gives the original number
• Simplify


  Reduce an expression to its simplest form
• Expand and simplify


  (x + 3)(2x - 4)
• Value of y


  When 2y + 7 = 3
• Write an equation


  Three times a number plus five is equal to 17
• Factorize


  6x^2 + 9x
• Third angle in a triangle

  When two angles are 45° and 75°
• Area of a circle

  With radius 6 cm
• Volume of a rectangular prism

  With dimensions 4 cm x 6 cm x 9 cm
• A quadrilateral with angles 110°, 70°, 100°, and 80° is a parallelogram
• Sale price


  When a shirt originally costs £45 and is on sale for 20% off
• Area of a square

  With side length 7 cm
• Probability of rolling an odd number

  On a fair six-sided die
• Probability of drawing a red marble

  From a bag with 5 red, 3 blue, and 2 green marbles
• Mean


  Of the numbers 12, 15, 18, 20, 22
• Actual distance in kilometers

  Given a map scale of 1 cm:5 km and a distance of 8 cm on the map
• Solve


  If 4 pencils cost £2, how much will 10 pencils cost?
• Percentage decrease to get back to original price

  When the price increases by 15%