Podcast
Questions and Answers
What is the next term in the arithmetic sequence 4, 7, 10, 13,...?
What is the next term in the arithmetic sequence 4, 7, 10, 13,...?
- 16 (correct)
- 17
- 19
- 20
The ratio of the number of boys to girls in a class is 3:4, and there are 21 boys in the class.
The ratio of the number of boys to girls in a class is 3:4, and there are 21 boys in the class.
False (B)
Solve for x: 2x + 3 = 11
Solve for x: 2x + 3 = 11
x = 4
The probability of drawing a red or blue ball from a box is ______________.
The probability of drawing a red or blue ball from a box is ______________.
Match the following mathematical concepts with their correct definitions:
Match the following mathematical concepts with their correct definitions:
Solve for x: 5x - 4 = 2x + 8
Solve for x: 5x - 4 = 2x + 8
The triangle with sides 8 cm, 15 cm, and 17 cm is a right triangle.
The triangle with sides 8 cm, 15 cm, and 17 cm is a right triangle.
Find the area of a triangle with base 10 cm and height 6 cm.
Find the area of a triangle with base 10 cm and height 6 cm.
The probability of drawing a green ball from a box containing 6 red balls, 4 blue balls, and 5 green balls is ______________.
The probability of drawing a green ball from a box containing 6 red balls, 4 blue balls, and 5 green balls is ______________.
Match the mathematical concepts with their correct definitions:
Match the mathematical concepts with their correct definitions:
What is the 12th term of the arithmetic sequence 3, 8, 13, 18,...?
What is the 12th term of the arithmetic sequence 3, 8, 13, 18,...?
The expression (2/3) + (4/5) - (1/2) simplifies to 11/30.
The expression (2/3) + (4/5) - (1/2) simplifies to 11/30.
A cyclist travels 60 km in 2 hours. What is the average speed in km/h?
A cyclist travels 60 km in 2 hours. What is the average speed in km/h?
If the ratio of apples to oranges in a basket is 3:5, what is the total number of apples if there are 40 fruits in total?
If the ratio of apples to oranges in a basket is 3:5, what is the total number of apples if there are 40 fruits in total?
The triangle with sides 5 cm, 12 cm, and 13 cm is a right triangle.
The triangle with sides 5 cm, 12 cm, and 13 cm is a right triangle.
Solve for x: 6x - 5 = 3x + 11
Solve for x: 6x - 5 = 3x + 11
The probability of drawing a blue ball from a box with 8 red balls, 6 blue balls, and 4 green balls is ______________.
The probability of drawing a blue ball from a box with 8 red balls, 6 blue balls, and 4 green balls is ______________.
Match the following equations with their solutions:
Match the following equations with their solutions:
The 20th term of the arithmetic sequence 1, 5, 9, 13,... is
The 20th term of the arithmetic sequence 1, 5, 9, 13,... is
Simplify the expression: 7/8 + 2/5 - 3/10
Simplify the expression: 7/8 + 2/5 - 3/10
The triangle with sides 10 cm, 24 cm, and 26 cm is a right triangle.
The triangle with sides 10 cm, 24 cm, and 26 cm is a right triangle.
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Study Notes
Algebra
- Solve for x: 3x - 7 = 2x + 5, x = 12
Geometry
- Check if a triangle is a right triangle: sides 7 cm, 24 cm, and 25 cm (Yes, it is a right triangle)
Probability
- Probability of drawing a red or blue ball: P(red or blue) = (5 + 3)/10 = 8/10 = 4/5
Fractions
- Simplify the expression: (3/4) + (5/6) - (1/3) = (9/12) + (10/12) - (4/12) = 15/12 = 5/4
Number Patterns
- Find the 10th term of the arithmetic sequence 4, 7, 10, 13,...: 4 + (10-1) × 3 = 4 + 27 = 31
Percentages
- Calculate the sale price of a shirt: original price 60,2560, 25% off = 60,2560 × 0.75 = $45
Word Problems
- Average speed of a car: distance 150 km, time 3 hours, speed = 150/3 = 50 km/h
Area and Perimeter
- Calculate the area and perimeter of a rectangle: length 10 cm, width 6 cm, area = 10 × 6 = 60 cm², perimeter = 2(10 + 6) = 32 cm
Ratios
- Number of boys in a class: ratio of boys to girls is 3:4, total students 28, number of boys = (3/7) × 28 = 12
Simultaneous Equations
- Solve the simultaneous equations: 2x + 3y = 12, x - y = 3, solution x = 3, y = 0
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