Tricky EOG questions

Question 1

What is –7 × (–4)?

Answer 1

28

Question 2

Find the missing length: A rectangle has length 8 cm and perimeter 28 cm. What is the width?

Answer 2

6 cm

Perimeter = 2 × (L + W) → 28 = 2(8 + W)

Question 3

Plot point (–3, 5) on a coordinate plane. Reflect it across the x-axis. What are the new coordinates?

Answer 3

(–3, –5)

Question 4

Add: 3/4 + 5/8

Answer 4

1 3/8 or 11/8

Question 5

A shirt costs $40. It’s on sale for 25% off. How much do you pay?

Answer 5

$30

40 × 0.75

Question 6

Find the area of a triangle with base 10 and height 6.

Answer 6

30

Area = ½ × base × height

Question 7

Simplify: 0.6 ÷ 0.2

Answer 7

3

Question 8

The ratio of cats to dogs is 3:5. If there are 15 cats, how many dogs are there?

Answer 8

25 dogs

15 ÷ 3 = 5; 5 × 5 = 25

Question 9

If point A is at (4, –2), what is its reflection across the y-axis?

Answer 9

(–4, –2)

Question 10

Multiply: (–9) × 3

Answer 10

–27

Question 11

What is the perimeter of a square with side length 7?

Answer 11

28

4 × 7

Question 12

If 5x + 3 = 18, what is x?

Answer 12

3

5x = 15, x = 3

Question 13

A recipe calls for 2/3 cup of sugar. You want to double it. How much sugar do you need?

Answer 13

1 1/3 cups

2 × 2/3

Question 14

What is 15% of 200?

Answer 14

30

200 × 0.15

Question 15

Find the missing side length of a right triangle with legs 6 and 8 (use Pythagorean theorem)

Answer 15

10

√(6² + 8²) = √(36 + 64)

Question 16

Convert 0.75 to a fraction.

Answer 16

3/4

Question 17

What point is 3 units left and 4 units up from (2, 1)?

Answer 17

(–1, 5)

Question 18

Solve for y: 3y – 7 = 11

Answer 18

6

3y = 18, y = 6

Question 19

Simplify: 4/5 × 3/7

Answer 19

12/35

Question 20

If a circle has a diameter of 10 cm, what is its radius?

Answer 20

5 cm

radius = diameter ÷ 2

Question 21

What is –12 ÷ (–4)?

Answer 21

3

Question 22

The scale on a map is 1 inch = 5 miles. How many miles are 7 inches?

Answer 22

35 miles

7 × 5

Question 23

Write 2/5 as a decimal.

Answer 23

0.4

Question 24

What is the volume of a rectangular prism with length 5, width 3, and height 4?

Answer 24

60

5 × 3 × 4

Question 25

If the probability of rain is 0.3, what is the probability it won’t rain?

Answer 25

0.7 ## Footnote 1 – 0.3

Question 26

What is 3.6 + 1.25?

Answer 26

4.85

Question 27

If you walk 3 miles in 45 minutes, what is your speed in miles per hour?

Answer 27

4 mph ## Footnote 3 miles ÷ 0.75 hours

Question 28

Find the median of these numbers: 7, 3, 9, 5, 11

Answer 28

7 ## Footnote Ordered: 3, 5, 7, 9, 11

Question 29

Simplify: (–3) + 8 – 10

Answer 29

–5

Question 30

A rectangle has a length twice its width. If the perimeter is 36, find the length and width.

Answer 30

Length = 12, Width = 6 ## Footnote Perimeter = 2(L + W) → 36 = 2(2W + W)