Grade 7A: Basic Math Skills Quiz

Gr 7A: Reinforcement Assignment - Basic Skills

• Q1: Integer Operations

  • Solve the following integers: -12 + (-22) - (-10)
  • -12 + (-22) = -34
  • -34 - (-10) = -24

• Q2: Triangle Perimeter

  • Calculate the perimeter of a triangle with sides 11cm, 16cm, and 18cm.
  • Perimeter = 11cm + 16cm + 18cm = 45cm

• Q3: Triangle Area

  • Find the area of a triangle with a base of 8cm and a height of 13cm.
  • Area = (base × height) / 2 = (8cm × 13cm) / 2 = 52cm²/2 = 10.5cm²

• Q4: Square Area

  • Determine the area of a square with each side equal to 18cm.
  • Area = side × side = 18cm × 18cm = 324cm²

• Q5: Circle Circumference

  • Calculate the circumference of a circle with a diameter of 14cm.
  • Radius = Diameter / 2 = 14cm / 2 = 7cm
  • Circumference = π × radius × 2 = π × 7cm × 2 = 43.96cm (approximately)

• Q6: Circle Circumference (Radius)

  • Find the circumference of a circle with a radius of 5cm.
  • Circumference = 2 × π × radius = 2 × π × 5cm = 31.4cm (approximately)

• Q7: Solving Equations

  • Solve for x: 9x - 20 = 16
  • 9x = 36
  • x = 4

• Q8: Solving Equations

  • Solve for x: 11x + 12 = -54
  • 11x = -66
  • x = -6

• Q9: Movie Ticket Price

  • A family bought 8 movie tickets for a total of $104. Calculate the price of each ticket.
  • Price per ticket = $104 / 8 = $13

• Q10: Concert Ticket Price

  • A group bought 12 concert tickets for a total of $300. Calculate the price of each ticket.
  • Price per ticket = $300 / 12 = $25

• Q11: Evaluating Expressions

  • Evaluate 3x - 7 for x = 12
  • 3(12) - 7 = 36 - 7 = 29

• Q12: Temperature Change

  • The temperature dropped by 12 degrees, reaching -20°C. Calculate the original temperature.
  • Original temperature = -20°C + 12°C = -8°C

• Q13: Temperature Change

  • If the temperature dropped by 8 degrees and the current temperature is -15°C, find the original temperature.
  • Original temperature = -15°C + 8°C = -7°C

• Q14: Complementary Angles

  • If one complementary angle is 32°, calculate the other angle.
  • Other angle = 90° - 32° = 58°

• Q15: Checking Account Balance

  • David's checking account balance calculation
  • Beginning balance: $650
  • Checks written: $45.10, $32.50, $75.75, and $210.90
  • Balance after checks: $650.00 - $364.25 = $285.75

• Q16: Checking Account Balance

  • Sophia's checking account balance calculation (same format as Q15)
  • Beginning balance: $490
  • Checks written: $12.50, $85.30, $20.45, and $150
  • Balance after checks: $490 - $268.25 = $221.75

• Q17: Books Lent Out

  • If a library had 280 books and has 147 left, calculate the number of books lent out
  • Books lent out = 280 - 147 = 133 books

• Q18: Discount Calculation

  • Maria bought a book for $18 and got a 25% discount. If her total discount was $9.50, calculate the cost of the notebook. -(Not enough info)

• Q19: Tennis Game Points

  • Sophie scored 90 points and lost 4 points each time she faulted; final total=74 points. Calculate how many times she faulted (using the equation 90 - 4x = 74)
  • Number of faults = 4

• Q20: Basketball Game Points

  • Mark scored 72 points in a basketball game, and lost 2 points every time he fouled; final score 56. Find how many times he fouled.
  • Number of fouls = 8

Test your understanding of basic mathematical skills with this Grade 7A quiz. Topics include integer operations, calculating areas and perimeters of geometric shapes such as triangles, squares, and circles. Perfect for honing your skills in essential math topics!