Problems on Geometric Shapes & Motions
Without MATHTEACHER PLUS acting as privet tutor
adjusting the difficulty according to student
competence many students would have difficulty solving
these problems. With MATHTEACHER'S guidance and smart
hints, students grade 68 can solve the types of
problems listed below with ease and enjoyment.
Subject 1: Solving word problems involving geometric
shapes by using first degree equations.

Level 1 : One of the angles in a triangle is 88°
,the second angle is 3 times larger than the third
angle. Find the angles.

Level 2 : One of the angles of a quadrilateral is
90°, the second is larger than the third by 2° and
smaller than the fourth by 107°. Find the angles.

Level 3 : The perimeter of a rectangle is 76 ft.
If the length of one side is increased by 4 ft,
and the length of the other side is increased by 5
ft, then its area becomes 186 sq. ft larger. Find
its sides .

Level 4 : A wire 348 ft long is used to make a
rectangular box with a square base. The base edge
is smaller than its height by 3 ft. Find the box
edges.
Subject 2: Solving word problems by using first degree
equations with uniform motion.

Level 1 : The distance AB is 175 miles. Dan leaves
A at 24 mph. At the same time John leaves B
heading towards Dan at 18 mph. When and where do
they meet?

Level 2 : The distance AB is 59 miles. Dan goes
from A at 13 mph. One hour later John leaves B
heading towards A at 18 mph. When and where do
they meet?

Level 3 : The distance AB is 30 miles. Dan leaves
A heading towards B at 22 mph. John leaves B at 13
mph in the same direction. When and where do they
meet?

Level 4 : John leaves A at 22 mph. One hour later
Dan leaves A at 29 mph. When and where will Dan
reach John ?

Level 5 : A car travels from A to B at 84 mph and
from B to A at 98 mph. The total travel time is 8
hours. Find AB and the travel time from A to B.

Level 6 : Two trains leave A simultaneously. The
first goes at 72 mph and the second at 84 mph.
After 30 minutes the velocity of the first train
increases to 96 mph. The trains arrive at B at the
same time. Find AB and their travel time.