S1 Topic Revision Flashcards
What is 1/2 * 1/4?
Multiply the numerators together (1 * 1 = 1) and the denominators together (2 * 4 = 8) to get 1/8.
How do you round 4.678 to the nearest tenth?
Look at the hundredths place (7). Since it�s 5 or greater, round the tenths place up, making it 4.7.
What is the correct order of operations in BODMAS?
Start with Brackets, then Orders (powers and roots), then Division and Multiplication (left to right), and finally Addition and Subtraction (left to right).
How would you calculate 3/4 + 1/2?
Find a common denominator (4), convert 1/2 to 2/4, then add the numerators (3 + 2 = 5), giving 5/4 or 1 1/4.
How do you find the coordinates of a point on a grid?
Start from the origin (0,0), move horizontally to the x-coordinate, then vertically to the y-coordinate.
Expand (3 + x)(2)
Multiply each term inside the bracket by 2: (3 * 2 = 6) and (x * 2 = 2x). So, the answer is 6 + 2x.
Expand (x + 3)(x + 4)
Use the distributive property: xx = x�, x4 = 4x, 3x = 3x, 34 = 12. Combine terms to get x� + 7x + 12.
Plot the point (3, -2) on a graph.
Start at the origin, move 3 units right (positive x), then 2 units down (negative y) to locate (3, -2).
How do you calculate 6 � 2 * (1 + 2) using BODMAS?
Start with the brackets (1 + 2 = 3), then multiply (6 � 2 = 3), and finally multiply 3 * 3 to get 9.
What does it mean to simplify the fraction 8/12?
Find the greatest common divisor (4) and divide both the numerator and denominator by it, giving 2/3.
How do you interpret the fraction 3/4 on a number line?
Divide the line between 0 and 1 into 4 equal parts and place a point at the third mark, representing 3/4.
How would you round 352 to the nearest hundred?
Look at the tens digit (5). Since it�s 5 or higher, round up to 400.
What is the result of 3 - 2 + 4 using BODMAS?
Perform the operations from left to right (since both are addition/subtraction): 3 - 2 = 1, then 1 + 4 = 5.
Describe the process for expanding (x + 2)^2.
Write (x + 2)(x + 2) and use distributive property: xx = x�, x2 = 2x, 2x = 2x, 22 = 4. Combine to get x� + 4x + 4.
What are the coordinates of a point that is 4 units up from (1, 2)?
Add 4 to the y-coordinate: (1, 2 + 4) = (1, 6).
How do you interpret a bar graph?
Each bar represents a category, and its height indicates the quantity or value associated with that category.
How do you round 0.456 to the nearest hundredth?
Look at the thousandths place (6). Since it�s 5 or greater, round up the hundredths place to get 0.46.
What is 3/5 * 2/3?
Multiply the numerators (3 * 2 = 6) and the denominators (5 * 3 = 15) to get 6/15, which simplifies to 2/5.
What is 2/3 + 1/6?
Find a common denominator (6), convert 2/3 to 4/6, then add the numerators (4 + 1 = 5) to get 5/6.
How do you find the midpoint between (2, 3) and (4, 7)?
Add the x-coordinates (2 + 4 = 6) and divide by 2 (6/2 = 3), then do the same with y-coordinates to get (3, 5).
Expand (x + 5)(x - 3)
Use distributive property: xx = x�, x(-3) = -3x, 5x = 5x, 5(-3) = -15. Combine terms to get x� + 2x - 15.
How would you simplify the fraction 10/15?
Find the greatest common divisor (5) and divide both numerator and denominator by it, giving 2/3.
How do you plot the point (-4, 1) on a graph?
Start at the origin, move 4 units left (negative x), and 1 unit up (positive y) to locate (-4, 1).
What is 25 � (5 * 5) according to BODMAS?
Start with the brackets (5 * 5 = 25), then divide 25 by 25 to get 1.
How do you convert 7/10 into a percentage?
Multiply by 100 to get 70%.
What is the simplified form of 12x + 4x?
Combine like terms: 12x + 4x = 16x.
What is the reciprocal of 3/4?
Flip the numerator and denominator to get 4/3.
How do you find the average of 5, 10, and 15?
Add the numbers (5 + 10 + 15 = 30) and divide by 3 to get 10.
How would you expand (2x)(3x + 4)?
Multiply each term inside the bracket by 2x: 2x3x = 6x� and 2x4 = 8x, giving 6x� + 8x.
What does a point on the x-axis look like?
A point on the x-axis has a y-coordinate of 0, like (5, 0).
How do you find 25% of 60?
Convert 25% to a decimal (0.25) and multiply by 60 to get 15.
What is 1/3 of 12?
Multiply 12 by 1/3 to get 4.
What is the decimal form of 3/8?
Divide 3 by 8 to get 0.375.
How do you simplify (2x + 3x - x)?
Combine like terms: 2x + 3x - x = 4x.
Describe the steps to plot (0, -3) on a graph.
Start at the origin, move down 3 units (negative y) to locate (0, -3).
How do you expand (y + 2)^2?
Write (y + 2)(y + 2), then distribute: yy = y�, y2 = 2y, 2y = 2y, 22 = 4. Combine to get y� + 4y + 4.
