Grade 7A: Basic Math Skills Quiz

Study Notes

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