MPM2D – Problem Solving Test Review II
1. For a school drama play, 256 tickets were sold. Adult tickets cost $5 and student
tickets cost $2. How many tickets of each kind were sold if the total revenue for the
evening was $767?
[85 adult, 171 student]
2. The length of a rectangle is 6cm greater than the width. The length and width add
to 46cm. Find the dimensions of the rectangle.
[length 26cm, width 20cm]
3. Two angles are supplementary. The measure of one angle is 4° less than 3 times the
measure of the other angle. Find the measures of the angles.
[134°, 46°]
4. Terri had $8,000 to invest. She invested part of it at 5% per year and the remainder
at 6% per year. If the total interest for the year was $457.50, how much did she invest
at each rate?
[$2250 @ 5%, $5750 @ 6%]
5. A boat took 2 hours to travel 20km down a river with the current and 5 hours to
make the return trip against the current. Find the speed of the boat in still water and
the speed of the current.
[boat travels 7km/h in still water, current is 3km/h]
6. Stephanie drove 352km from Ottawa to Gravenhurst in 4 hours. She drove part of
the way at 100km/h and the rest of the way at 80km/h. How far did she drive at each
speed?
[160km @ 100km/h, 192km @ 80km/h]
7. Ms Connell needs to make 35L of 38% sulfuric acid solution. There are 30% acid
and 50% acid solutions available. How many litres of each solution must be mixed to
make the 38% solution?
[21L @ 30%, 14L @ 50%]