S1 Topic Revision

Question 1

What is 1/2 * 1/4?

Answer 1

Multiply the numerators together (1 * 1 = 1) and the denominators together (2 * 4 = 8) to get 1/8.

Question 2

How do you round 4.678 to the nearest tenth?

Answer 2

Look at the hundredths place (7). Since it�s 5 or greater, round the tenths place up, making it 4.7.

Question 3

What is the correct order of operations in BODMAS?

Answer 3

Start with Brackets, then Orders (powers and roots), then Division and Multiplication (left to right), and finally Addition and Subtraction (left to right).

Question 4

How would you calculate 3/4 + 1/2?

Answer 4

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.

Question 5

How do you find the coordinates of a point on a grid?

Answer 5

Start from the origin (0,0), move horizontally to the x-coordinate, then vertically to the y-coordinate.

Question 6

Expand (3 + x)(2)

Answer 6

Multiply each term inside the bracket by 2: (3 * 2 = 6) and (x * 2 = 2x). So, the answer is 6 + 2x.

Question 7

Expand (x + 3)(x + 4)

Answer 7

Use the distributive property: xx = x�, x4 = 4x, 3x = 3x, 34 = 12. Combine terms to get x� + 7x + 12.

Question 8

Plot the point (3, -2) on a graph.

Answer 8

Start at the origin, move 3 units right (positive x), then 2 units down (negative y) to locate (3, -2).

Question 9

How do you calculate 6 � 2 * (1 + 2) using BODMAS?

Answer 9

Start with the brackets (1 + 2 = 3), then multiply (6 � 2 = 3), and finally multiply 3 * 3 to get 9.

Question 10

What does it mean to simplify the fraction 8/12?

Answer 10

Find the greatest common divisor (4) and divide both the numerator and denominator by it, giving 2/3.

Question 11

How do you interpret the fraction 3/4 on a number line?

Answer 11

Divide the line between 0 and 1 into 4 equal parts and place a point at the third mark, representing 3/4.

Question 12

How would you round 352 to the nearest hundred?

Answer 12

Look at the tens digit (5). Since it�s 5 or higher, round up to 400.

Question 13

What is the result of 3 - 2 + 4 using BODMAS?

Answer 13

Perform the operations from left to right (since both are addition/subtraction): 3 - 2 = 1, then 1 + 4 = 5.

Question 14

Describe the process for expanding (x + 2)^2.

Answer 14

Write (x + 2)(x + 2) and use distributive property: xx = x�, x2 = 2x, 2x = 2x, 22 = 4. Combine to get x� + 4x + 4.

Question 15

What are the coordinates of a point that is 4 units up from (1, 2)?

Answer 15

Add 4 to the y-coordinate: (1, 2 + 4) = (1, 6).

Question 16

How do you interpret a bar graph?

Answer 16

Each bar represents a category, and its height indicates the quantity or value associated with that category.

Question 17

How do you round 0.456 to the nearest hundredth?

Answer 17

Look at the thousandths place (6). Since it�s 5 or greater, round up the hundredths place to get 0.46.

Question 18

What is 3/5 * 2/3?

Answer 18

Multiply the numerators (3 * 2 = 6) and the denominators (5 * 3 = 15) to get 6/15, which simplifies to 2/5.

Question 19

What is 2/3 + 1/6?

Answer 19

Find a common denominator (6), convert 2/3 to 4/6, then add the numerators (4 + 1 = 5) to get 5/6.

Question 20

How do you find the midpoint between (2, 3) and (4, 7)?

Answer 20

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).

Question 21

Expand (x + 5)(x - 3)

Answer 21

Use distributive property: xx = x�, x(-3) = -3x, 5x = 5x, 5(-3) = -15. Combine terms to get x� + 2x - 15.

Question 22

How would you simplify the fraction 10/15?

Answer 22

Find the greatest common divisor (5) and divide both numerator and denominator by it, giving 2/3.

Question 23

How do you plot the point (-4, 1) on a graph?

Answer 23

Start at the origin, move 4 units left (negative x), and 1 unit up (positive y) to locate (-4, 1).

Question 24

What is 25 � (5 * 5) according to BODMAS?

Answer 24

Start with the brackets (5 * 5 = 25), then divide 25 by 25 to get 1.

Question 25

How do you convert 7/10 into a percentage?

Answer 25

Multiply by 100 to get 70%.

Question 26

What is the simplified form of 12x + 4x?

Answer 26

Combine like terms: 12x + 4x = 16x.

Question 27

What is the reciprocal of 3/4?

Answer 27

Flip the numerator and denominator to get 4/3.

Question 28

How do you find the average of 5, 10, and 15?

Answer 28

Add the numbers (5 + 10 + 15 = 30) and divide by 3 to get 10.

Question 29

How would you expand (2x)(3x + 4)?

Answer 29

Multiply each term inside the bracket by 2x: 2x3x = 6x� and 2x4 = 8x, giving 6x� + 8x.

Question 30

What does a point on the x-axis look like?

Answer 30

A point on the x-axis has a y-coordinate of 0, like (5, 0).

Question 31

How do you find 25% of 60?

Answer 31

Convert 25% to a decimal (0.25) and multiply by 60 to get 15.

Question 32

What is 1/3 of 12?

Answer 32

Multiply 12 by 1/3 to get 4.

Question 33

What is the decimal form of 3/8?

Answer 33

Divide 3 by 8 to get 0.375.

Question 34

How do you simplify (2x + 3x - x)?

Answer 34

Combine like terms: 2x + 3x - x = 4x.

Question 35

Describe the steps to plot (0, -3) on a graph.

Answer 35

Start at the origin, move down 3 units (negative y) to locate (0, -3).

Question 36

How do you expand (y + 2)^2?

Answer 36

Write (y + 2)(y + 2), then distribute: yy = y�, y2 = 2y, 2y = 2y, 22 = 4. Combine to get y� + 4y + 4.