Mental Math
Algebra/Trigonometry
Word Problems
Random
100

4x + 20 =0

-5

100

2x2 - 7x = 39 (*hint: use factorization or the quadratic formula)

 x = 13/2 and x = -3

100

If a clock shows 2:45 PM, how many minutes until 4:00 PM?

75 minutes


100

Which hormone regulates blood sugar levels by lowering glucose concentration?

Insulin


200

3+ 2= ?

35


200

If (3a + 2b) : (5a + 3b) = 18 : 29

find the a : b

 a : b = 4 : 3 (or a/b = 4/3)*


200

A runner completes 10 km in 40 minutes. What is their speed in km per hour?

15 km / hour

200

A rectangle has a perimeter of 36 cm. If its length is 10 cm, what is its width?

8cm


300

26 * 24  = ?

1024


300

The angle of elevation of the top of a tower at a distance of 120 m from its foot on a horizontal plane is found to be 30 deg. Find the height of the tower.

69.28 m (height of tower = 120 x tan 30 deg)

300

A store increases the price of a $120 item by 25%, then applies a 20% discount on the new price. What is the final price?

$120

300

What metal is liquid at room temperature? 


Mercury


400

3/7 + 2/5

29/35

400

The hypotenuse of the right triangle is 13 cm and the difference between the other two sides is 7 cm. Find the unknown two sides, using algebra.

5 cm and 12 cm* (Note: the students have to show their work, they can't cheat just because they know the pythagorean triplet (5, 12, 13) haha)


400

The sum of three consecutive even numbers is 90. What are the numbers?

28, 30, and 32

400

What is the Roman numeral for 1542?

MDXLII

500

4/5 * 3/2 + 5/9

79/45

500

Prove the following:

tan A + cot A = sec A cosec A

ANSWER REVEALED LATER

500

A train leaves Station A at 60 mph. Another train leaves Station B, 300 miles away, at 90 mph toward Station A. How long until they meet?

2 hours

500

What causes tides on Earth?

The Moon's gravity


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