Download IB Basic Mathematics Review

IB Basic Mathematics Review
1
3
1. Estimate: 3  2
3
7
2. Estimate: 26.7  4.97
3. Estimate: $13.26  $12.72
4. Between which two consecutive whole numbers is
12 ?
5. You’ve earned $85.25. You’d like to buy several music videos. Estimate the number of
videos you could purchase if each one coasts $8.95.
6. You borrow $200 from a relative for six months. You agree to pay compound interest at
a rate of 1% per month. How much interest will you pay your relative when you return the
money at the end of the six months?
7. Suppose you record the number of claps of thunder during a thunderstorm. The table
below shows the pattern of claps over time. If the pattern continues, how many total
claps will occur in 32 seconds?
Seconds Total Claps
1
2
2
3
4
4
8
5
8. Andrea rode her bike each of the last five days. On day one she rode 2 miles less than
day two. On day two she rode 2 miles less than day three. On day three she rode 6
miles. On day four she rode 2 miles more than day three. On day five she rode 2 miles
more than day four. How many miles did she ride during the five days? Make a table to
assist you with your answer.
9. Paul was in charge of collecting contributions for the Food Bank. He received
contributions of $30, $90, $70, $30, $80. The next potential contributor wanted to give
an amount in line with the other contributions, so he asked “What is an acceptable amount
to give?” If Paul uses the median as the answer to the question, what amount will he tell
the potential contributor?
10. You toss a coin 30 times and get 12 heads. The experimental probability of getting heads
is
.
11. Using the frequency table below, determine how many students received a score of 80 or
better on an English exam.
Score Frequency
50-59
4
60-69
6
70-79
8
80-89
8
90-100
3
12. The chart below shows the low temperatures for the months of December, January, and
February for three years. Make a multiple line graph of the data.
Low Temperatures
1990 1991 1992
Dec 13°
5°
6°
Jan -2°
8°
10°
Feb
5°
3°
12°
13. If the vertices of a triangle are M(4, 3), N(1, 1), O(4, 1) and the vertices of its image are
M’(4, -3), N’(1, -1), O’(4, -1), what is the line of symmetry?
14. Solve:
3x  4y  20
y x 6
15. An enclosed gas exerts a pressure P on the walls of the container. This pressure is
directly proportional to the temperature T of the gas. If the pressure is 2 lb per in.2
when the temperature is 240 K, find the constant of variation.
16. Maria sketched plans for a rectangular garden on graph paper. The rectangle she drew is
2.5 squares wide and 4 squares long. If each side of each square on the graph paper
represents 3.5 ft, find the length and width of the actual garden.
17. You decide to market your own custom computer software. You must invest $1568 in
computer hardware, and spend $4.10 to buy and package each disk. If each program sells
for $9.00, how many copies must you sell to break even?
18. Two ladders are leaning against a wall at the same angle. The bigger ladder is 40ft long
and reaches 30 ft up the wall. The smaller ladder reaches 12ft up the wall. How long is
the smaller ladder?
Please do not forget how to solve equations.
Look for another review for equations 