Hints:
1) Try and calculate the amount of money that they would have to pay for the installment plan.
2) Calculate the difference between the installment plan and the initial amount if they paid today.
Hints:
1) What information is important in this question?
2) How long did it take her to run 200m in seconds?
Hints:
1) Make a chart of the percentages scored on each test for each student. As the following:
PERCENTAGE FOR FIRST TEST PERCENTAGE FOR SECOND TEST DIFFERENCE MARK JAKE MARILYN
2) If you forget how to do percent, heres a hint: divide the denominator into the numerator and multiply by 100%
Part B
Hint:
1) Try making another chart with percentages of each test. Like the following:
30% of first test 70% of second test SumFinal Mark MARK JAKE MARILYN
Hints:
1) Make a chart to help you use logical reasoning
Hints:
1) Try to draw a sketch of how many sheets are piled as the pile is cut each time.
2) Now try to find a pattern in the numbers.
3) How many sheets will you have after the sheets are cut and piled 10 times.
4) How many cm high is this pile. Don't forget to change your mm to cm.
Hints:
1) When all else fails, make a chart or a table. Start by writing the numbers in columns and rows.
ex. 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 | | | | | | | | | | | | | | | | | | | |
2) Now examine the digits in the rows (horizontal). What do you notice about digits? Try and find a pattern in the ones place.
3) Carry on to find a pattern in the ten's place.
4) Don't forget about the number 100!!
Hints:
1) To find the percentage increase in the dry cleaning of a sports coat, set up an algebraic equation.
4 * x = 5.00
2) Now what is the price of the new cost of dry cleaning a jacket?
Hints:
1) How many faces / sides are on a cube. How long is the piece of ribbon on each side? Find the total length of the ribbon on the sides.
2) Now the top and the bottom look like:
What is the total length of the ribbon for the top and bottom?
3) Find the total length of all the ribbon in meters.
Hints:
1) Draw and label the diagram with the dimensions given.
2) Now find the inner dimensions of the paneling and find the area.
Hints:
1) Do you remember how many degrees there are in a triangle or a straight line?
2) There are 180 degrees in a triangle. That is the sum of the angles in a triangle is 180 degrees. A straight line is 180 degrees.
3) Say your diagram was as the following:
? = 180 degrees - 150 degrees
? = 30 degrees
4) Solve the problem!!!
Hints:
1) What does Mr. MacDonald have to do to find the average mark of his class?
2) Average means the sum of the test marks divided by the number of students. So, what was the sum of all the tests?
3) After you have the sum of all the tests you can find the correct average by correcting Mr. MacDonald's sum and finding the correct average.
Hints:
1) Try different numbers that will satisfy the conditions given in the number.
2) The sum of the numbers of acorns is twice six. Find out the how many Chip had and Dale had.
Hints:
1) One way to overcome this problem is to think of percentages. What is the percent of $15 out of the total $120 earnings?
2) Now we know what percent of his total earnings is. How many degrees are in a circle?
3) The percent of money he spends on music is how many degrees in the circle?
Hints:
1) Show diagram.
2) Do you remember how to find the missing side of a right triangle?
3) The Pythagorean theorem says, the hypotenuse, which is the longest side opposite the right angle, is equal to the square root of the sums of the squares of the other two sides.
Z2 = X2 + Y2
4) How many additional meters would she have to walk?
Hints:
1) You must find the total area of the pool.
2) The pool can be divided into 3 different shapes.
3) The area of a circle is A = Pi * r2
4) Find the total amount of money given that it costs $5.00 per meter squared.
Hints:
1) You must use the Pythagorean theorem to help Lisa!
2) Divide the line LM into two parts. Solve the distance of each part.
3) Don't forget to convert to mm.
Hints:
1) Divide the square into 4 equal parts. Can you see the answer?
Hints:
1) If the snake is one meter long in real life and 2cm long in the picture, how high is the building if it is 4.5cm long in the picture.
2) The easiest way to do this is to set up a ratio like:
100 x ---- = --- 2cm 4.5cm Solve for x, which is the height of the building.
Hints:
1) Make a chart
-> 1st birthday $1 2nd birthday $2 3rd birthday $4 | |
2) How much did he get in total?
Hints:
1) Try to limit the amount of possibilities for each teacher.
Example: Ms. Garcia can't teach art because she has taught more years than the mathematics teacher, and the art teacher has taught the least number of years.
Hints:
1) The best way to approach this problem is to work backwards. Try starting with statements: If Bob has 27 comic books and Charles has 2/3 as many, how many does Charles have?
2) Jim has 3 times as many as Charles. So how many comic books does Jim have?
3) If you need help in setting up equations, here's a start:
2/3 * # of Bob's comics = # of Charles comics =>Now do the same thing for Jim: 3 * # of Charles comics = # of Jim's comics