1. This document contains 50 math word problems ranging from simplifying expressions to solving systems of equations. The problems increase in complexity and cover a variety of math topics including fractions, exponents, proportions, rates, geometry, and algebra. 2. The word problems are presented sequentially with blank lines between each problem for the student to show their work. 3. The level of difficulty progresses through the problems, starting with simpler calculations and building up to more involved multi-step problems involving concepts like averages, rates, proportions, systems of equations, and basic geometry.

1. MMC 2015 Grade 7
____________ 1 Simplify 2(3)2
−3(2)3
+(1−4)3
.
____________ 2 By how much is 3−
1
3
greater than 2−
1
2
?
____________ 3 Write
9
200000
in scientific notation.
____________ 4 What is the product of three consecutive multiples of 5 if the middle number is n?
____________ 5 If water pours into a tank at a rate of 1000 liters per minute, at what rate is the tank
being filled in kiloliters per hour? (1 kL = 1000 L)
____________ 6 Subtract the sum of a+2b + c and 3a− b −2c from 6a+ b −2c.
____________ 7 Simplify (3−8)× −
7
2
−
5
2
(−2).
____________ 8 The sum of the interior angles of a polygon 1620◦
. How many sides has the polygon?
____________ 9 Simplify 3−
1
4
2
− 3+
1
4
2
.
____________ 10 The sum of two angles of a triangle is three times the third angle. What is the sum of the
first two angles?
____________ 11 Danny had some stickers. He gave
1
3
of the stickers plus 1 sticker to his brother. Then he
gave
1
3
of the remaining stickers plus 4 stickers to his sister. Finally, he gave
1
2
of what
remained plus 3 stickers to his best friend. He found that he had 4 stickers left. How
many stickers did Danny have at first?
____________ 12 What number is
2
5
of the way from −3 to 5?
____________ 13 The number n is divisible by 3. The number n2
is 3641A5. What digit does A represent?
____________ 14 What is the smallest positive integer that must be multiplied to 60 to get a perfect cube?
____________ 15 Compute 10÷
1+ 1
4
2− 3
5
.
____________ 16 What three digit number is both the square of an integer and the cube of an integer?
____________ 17 Simplify
x− 3 x+ 3
x2 −3x
.
____________ 18 If x is twice as far from −9 as it is from 3, what are the possible values of x?
____________ 19 Sandra is 18 years older than Paolo. In 13 years, Sandra will be twice as old as Paolo will
be then. How old is Sandra now?
____________ 20 Which is bigger,
3
5 or 3?
____________ 21 The average of 5 numbers is 14. The average of three of the numbers is 12. What is the
average of the other two numbers?
____________ 22 A sandwich costs p pesos. A cookie costs Php 9 less than a sandwich. How much more
expensive are 8 cookies than 5 sandwiches?
____________ 23 Which values of x satisfy |2x+1| = |2x−9|?
____________ 24 A car leaves P at 8 AM and travels to Q at a constant speed. A bus leaves Q at 8:45 AM
and travels to P at a speed three times that of the car. If they meet at 10:00 AM, find
the ratio of the distance traveled by the bus to the distance traveled by the car when they
meet.
____________ 25 How many 3-digit numbers are multiples of 18?
____________ 26 If the perimeter of a square is 8x+6, what is its area?
____________ 27 Two vertical poles are 3 meters apart. Jack is climbing one pole while Jill climbs the other.
If the distance between Jack and Jill is 5 meters, how much higher is Jill than John?
____________ 28 If the circumference of a circle is increased by 20%, by how much is its area increased?
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2. MMC 2015 Grade 7
____________ 29 A camp director prepared enough food for 100 students for 6 days. If only 75 students
came, how long will the food supply last?
____________ 30 How many two-digit numbers are not divisible by 4 nor 5?
____________ 31 If n is a prime number not equal to 2, which of the following can be a prime? n +3,2n
−
1,n2
+1
____________ 32 What must be added to the product 2x−1 and 4x+5 to obtain 4x2
+8x+1?
____________ 33 If the greatest common divisor of two numbers is 12 and their least common multiple is
180, what are the possible pairs of numbers?
____________ 34 Given a positive integer n, arrange the following from least to greatest: n+1, n+1,n+1.
____________ 35 What is the largest integer which is always a factor of the sum of three consecutive even
integers?
____________ 36 If the sum of the first 100 positive integers is 5050. What is the sum of the next 100
integers?
____________ 37 With what polynomial 3x4
− 3x3
+ 5x2
+ 2x be divided to get a quotient of 3x2
+ 1 and a
remainder of 4x−2?
____________ 38 If 7n leaves a remainder of 8 when divided by 9, what is the remainder when 5n is divided
by 9?
____________ 39 Find the solution set: |3− x| ≥ 11
____________ 40 Compute 1−
2
3
1−
2
5
1−
2
7
1−
2
9
1−
2
75
.
____________ 41 Each square in the figure has side length 1. The curve in each square in a circular arc
with center at a corner of the square. What is the area of the shaded region?
____________ 42 What is the least common multiple of 168 and 420?
____________ 43 A salesman receives a basic salary of Php 10,000 and a commission of 5% on all sales.
Find his total sales in a month when he earned Php 25,000.
____________ 44 What is the absolute value of 2x3
−8x+2 at x =
5
2
?
____________ 45 Find all real numbers for which
7x−2
2
>
4x+3
4
.
____________ 46 For what values of x is
3x−1
4
<
2x+5
3
?
____________ 47 Write an equation of the line through (−2,3) and (1,4).
____________ 48 Solve for x and y: 7x−3y = 25 and x+2y = 13
____________ 49 Pete is 12 years old and his grandfather is 63 years old. In how many years will Pete’s age
be
1
4
that of his grandfather?
____________ 50 ABC has its coordinates at A(a,−1),B(8,−1) and C(5,4). If the base is twice the height,
find a.
2