This mathematics practice test comprises 50 questions in a multiple choice format. After you answer each question, the correct answer will be provided along with a very detailed explanation.

Solve each problem and select the best answer. Please do not use a calculator. Good luck!

A herd of cows gives 4 liters of milk each day. But each cow gives one-third of total milk each day. They give 24 liters milk in six days. How many cows are there in the herd?

What is 70.3 divided by 10?

Which fraction is equal to 0.20%?

You are lying 120 ft away from a tree that is 50 feet tall. You look up at the top of the tree. Approximately how far is your hear from the top of the tree in a straight line?

4/7 of a number is 84. Find the number.

What is the equation of this line?

If 5 ounces is equal to 140 grams, then 2 pounds of ground meat is equal to how many grams?

Which of the following fractions is equal to 5/6?

One half of the students in a school are girls, 3/5 of these girls are studying in lower classes. What fraction of girls are studying in lower classes?

An instrument store gives a 10% discount to all students off the original cost of an instrument. During a back to school sale an additional 15% is taken off the discounted price. Julie, a student at the local high school, purchases a flute for ₱306. How much did it originally cost?

What is a scalene triangle?

A DVD player with a list price of ₱100 is marked down 30%. If John gets an employee discount of 20% off the sale price, how much does John pay for the DVD player ?

Two angles of a triangle measure 15° and 85 °. What is the measure for the third angle?

A car averages 27 miles per gallon. If gas costs $4.04 per gallon, which of the following is closest to how much the gas would cost for this car to travel 2,727 typical miles?

Sarah is twice as old as her youngest brother. If the difference between their ages is 15 years. How old is her youngest brother?

Write the equation for the line in slope-intercept form.

What does D represent in Roman numeral system?

You decide to dye your hair various colors for Halloween. If you dye 1/3 of it blue, 1/4 pink, and 1/4 black, how much of your original hair color is left?

Which prime number occurs after 31?

2/5 + 3/8 = ?

What is the value of x when 2x + 3 = 3x – 4 ?

In his pocket, a boy has 3 red marbles, 4 blue marbles, and 4 green marbles. How many will he have to take out of his pocket to ensure that he has taken out at least one of each color?

What is the greatest common factor of 42, 126, and 210 ?

Simplify: √48

0.16+0.3+0.08=?

Sales for a business were 3 million dollars more the second year than the first, and sales for the third year were double the sales for the second year. If sales for the third year were 38 million dollars, what were sales, in millions of dollars, for the first year?

In a small company average salary of three employees is ₱1000 per week. If one employee earns ₱1100 and other earns ₱500, how much will the third employee earn?

The number of milliliters in 1 liter is:

A mango is cut into 10 slices. If Eric ate 7 slices and his sister ate 2 slices, what part of the mango did they eat?

What is 4995 divided by 15?

Find side AB?

Find the area of the parallelogram.

What will it cost to tile a kitchen floor that is 12 feet wide by 20 feet long if the tile cost ₱8.91 per square yard?

There is a box of pebbles where 1/4 are blue, 2/4 are yellow, and 1/4 are black. What fraction of the box has yellow and black pebbles?

If y(x-1)=z then x=

How many degrees are there in a right angle?

Which of the following is the sine of angle A in the right triangle below?

Spot fetched 12 sticks and some rocks when he played outside. How many objects did he fetch in all?

The ratio in a right triangle of adjacent to hypotenuse is _____

Students mailed invitations to a play to 414 parents. Each student mailed 18 invitations. If s equals the number of students who mailed invitations, which equation best shows the number of invitations that were mailed?

Which of the following has the smallest value?

In a writing competition, the first place winner receives ½ of the prize money. The second runner up receives ¼ of what the winner won. What was the total amount of prize money distributed if the winner receives ₱6,000?

A typical high school student consumes 67.5 pounds of sugar per year. As part of a new nutrition plan, each member of a track team plans to lower the sugar he or she consumes by at least 20% for the coming year. Assuming each track member had consumed sugar at the level of a typical high school student and will adhere to this plan for the coming year, what is the maximum number of pounds of sugar to be consumed by each track team member in the coming year?

Find the missing term in the following sequence: 4, 9, 19, __, 79

What is the square root of 81?

What is the algebraic expression for "the sum of x and 9"?

What is three fifths of 50?

0.00072 x 10000 = ?

If you purchase two stamps costing 60 centavos each and you give the cashier ₱2.00, how much change should you receive?

2345 x 0.00001 = ?