Grade Six Hints


Question #1

Hints:

 NONE!!!


Question #2

Hints:

1) Find area for the garden.

2) Remember area equals length multiplied by width.

3) Find the area of the space surrounded by the fence.


Question #3

Hints:

1) What is the total amount the shirts would cost without the sales tax?

2) If there is an additional $13.07 sales tax how much did the cashier charge her in total?

3) How much did Jenny start with?


Question #4

Hints:

1) How many pogs did Johnnie have?

2) If Charlotte gave half of her pogs to Johnnie, how many did Charlotte have?


Question #5

Hints:

1) How many days are in a week?

2) If Canadians spend $958904 is one day on video games, how much is spent in a week?

3) If Canadians spend $767123 in one day on Nintendo games, how much do they spend in a week?

4) If you know how much is spent on Nintendo Games, how much is spent on other videos?


Question #6

Hints:

1) What is average?

2) If it rained 1mm each month for six months, what would be your average amount of rain per month?

3) Therefore if it rains 28.5mm per month and 1.0mm per month how much does it rain in total?


Question #7

Hints:

1) How many centimers are in a meter?

2) How many meters long is George's camers (there are 100 cm in one meter).

3) How many centimers difference between George's camera and my camera lens?

4) How many metres is Marie's camera lens?

5) What is the difference between George's camera lens and Marie's camera lens?

6) If George's camera lens is .029 and my camera lens is 1.372m. How many .029m are in 1.372m?


Question #8

Hints:

1) If you can buy 20 rubles for one dollar how many can you buy for $300.00?


Question #9

Hints:

1) How many times could you turn the board and the shape still looks the same?

2) Try labelling the figure and turning your sheet of paper.

One full turn is when 1 returns to its original position.


Question #10

NONE!!!


Question #11

Hints:

a)

1) Could the pages be 20 and 65?

2) What page comes before 20? Could these be the correct pages?

3) What about if the pages were 30 and 31 or 40 and 41?

b)

1) Use the hints given in part a to help you with this problem.


Question #12

Hints:

1) How much will it cost them for 12 onion rolls?

2) If it costs $1.00 for 6 onion rolls, how much does it cost for 3?

3) What is the total amount spent on onion rolls?

4) How much does it cost for each hamburger bun? How much does it cost for 10?

5) How much do 2 loaves of rye bread cost?

6) What is their total bill (round to the nearest cent).


Question #13

Hints:

a)

1) Make a chart to help you along with the problem.

          January 2
          February 4
          March 6
          April 8
          May  ?
          June ?
          July ?
          August ?
          September ?
          October ?
          November ?
          December ?
2) How would you find the total amount of money you saved?

b)

1) Do the same as in the last problem.


Question #14

Hints:

1) What fraction, with denominator 7 reduces to a value of 2?

Example:

12/6 = 2 but we want ?/7 = 2

(What is ?)

2) If the line is divided into 7 segments, what would each point be labelled 0, 1/7, ... , ?/7=2 ?

3) Or should they be named 0, 2/7, 4/7, 6/7, ......14/7 ?

4) What is the fraction of A and B ?


Question #15

Hints:

1) What are the factors of 12?

2) Can the other number be 3? Why or why not? The numbers cannot be 3 because the greatest common factor of both of the numbers is 6. (3 cannot have a factor).

3) Can the other number be 6? Why or why not?


Question #16

Hints:

1) If you do reverse operations to 462 will you arrive at the number you started with?

2) When it says divide by 3, multiply by 3.


Question #17

Hints:

1) The parking lot is 3/4 full, how many cars are in the parking lot?

2) If 200 of these cars in the parking lot are compact cars, how many are standard sized cars?


Question #18

Hints:

1) You may find it easier to make a chart of all the numbers from 1 to 100 and count the digits 2.

2) You could see that there is a two in every interval 1-10, 11-20, 20-30, 31-40.....etc. There are 10 intervals, therefore 10 two's all together.

3) Plus in the 20-30 range, there are how many two's?


Question #19

Hints:

1) Count all the triangles you can see. 2) Some triangles are formed from smaller triangles.


Question #20

Hints:

1) Start with a block you know you can fill then find the rest of the sums.


Question #21

Hints:

1) What other numbers have this same property?

2) 0, 1, 6, and 8, 9, have this property?

3) What is be the next lower number?


Question #22

Hints:

a)

1) How much do 2 adults pay for soccer?

2) Could the Callahan family go to the soccer game?

3) How much do 2 adults pay for softball?

b)

1) How much would it cost for 2 adults and 3 children to go to the basketball game?

2) How much change would you get back?


Question #23

Hints:

1) How many posts on one side of the square fence?

2) If there are 4 sides how many posts are there all together?

3) Remember if you found your answer to be 20 that you have counted the corner posts more than once.


Question #24

Hints:

1) How many more strawberries did the second girl take then the first?

2) Make a chart and look for a pattern.

                Girl | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 
        -------------+---+---+---+---+---+---+---+---
          number of  |   |   |   |   |   |   |   |    
        strawberries | 1 | 3 | 5 |   |   |   |   |
           taken     |   |   |   |   |   |   |   |
        -------------+---+---+---+---+---+---+---+---
        total number |   |   |   |   |   |   |   |
           taken     | 1 | 4 | 9 |   |   |   |   |
                     |   |   |   |   |   |   |   |
        -------------+---+---+---+---+---+---+---+---
3) What was the TOTAL amount taken?


Question #25

Hints:

a)

1) Make a table.

        DAY:       MON     TUE     WED    THURS    FRI   SAT    SUN

        AMOUNT:   $0.01   $0.02   $0.04

        TOTAL:    $0.01   $0.02   $0.07
And calculate the total for the week


Question #26

Hints:

1) If the side of square A = 1cm, what is the length of side B?

2) What are the areas of square A and B?

3) How many times greater is the area of square B than the area of square A?


Question #27

Hints:

1) If side A has a length of 2cm, then what is the perimeter of this pentagon?

2) If he has crawled 13/20 of the total distance (perimeter) then how far has he crawled? And what side would this have to be?


Question #28

Hints:

1) If there were 9 hours left in the day, what was 1/3 of the number of hours that had already passed? Are they equal?

2) If there were 8 hours left in the day, what was 1/3 of the hours that already passed? Are they equal?

3) Try different numbers to find the number of hours left in a day that equals one-third of the number of hours that had already passed.


Question #29

Hints:

1) If the length is 4m, what is the width of the rectangular table?

2) Is this table a square? Why or why not?

3) Make a table to help you.

           Length of    Width of     Length of    Width of      Correct?
           Rectangle    Rectangle    Square       Square

Trial #1   3x4m=12m        4m        12m-3m=9m    4m+3m=7m         NO

Trial #2   3x2m=6m         2m         6m-3m=3m    2m+3m=5m         NO

Trial #3

Question #30

Hints:

1) How many gallons of gasoline would you use without the new motor oil?

2) If the new motor oil saves 5 percent of these gallons, how many gallons could you save in a year?


Question #31

Hints:

1) When you square a number, you multiply the number by itself.

ex: 2x2=4 = 2^2 3x3=9 = 3^2

2) Reverse your steps. (Work backwards starting with the result of 50).


Question #32

Hints:

1) What is the area of Mrs. Doyle's living room?

2) If it costs her $9.99 for each m2, how much will it cost her for 20m2? (Without the sale).

3) What is 20 percent of this price? Therefore, she saves 20 percent of the price and has to pay the remaining. How much is left to pay?


Question #33

Hints:

1) If he spent 3 minutes idling, how much fuel did he burn in this amount of time?

2) If it takes him 3.0 liters to go 27 km, how many liters can he go for 9km?

3.0L/27km x 9km = ??

3) What is the total amount of gasoline Derek's car used?


Question #34

Hints:

1) Set up a table to help you.

     
Trip #1     Trip #2     Trip #3     Trip #4     Trip #5     Total
 
6 trucks    6 trucks    6 trucks    10 cars     10 cars     38 veh.

10 cars     10 cars     10 cars     10 cars     6 trucks    46 veh.
Try other combinations. How many cars were taken in 5 trips?


Question #35

Hints:

1) S must be 1 or 2 otherwise the number on the leftside multiple by 4 will be a six digits number.

2) Try different numbers in the letters to find the correct answer.


Question #36

Hints:

1) What is the area of the rooms that Proky added?

2) What is the fraction that describes the area of the room with the area of the house (before the room was added)?

3) How do we describe this area as a percent?


Question #37

Hints:

1) Since you know there aren't any father-daughter relationships, is it possible that Mr. Marchand's daughter could be Cheri?

2) Since one person can't play on two sides of the court, can Mr. Sullivan be Cheri's father?

3) Who is Cheri's father?


Question #38

Hints:

1) The average is already calculated. What is the average of the numbers 1 through 7?

2) What would the new average be?


Question #39

Hints:

1) If you pay $0.90 for the first 1/3 km, how much money did you spend on the rest of the trip?

2) How many 1/8km did you travel, when you know how much money you spent?

3) Find a common denominator for your fractions to find the total distance you travelled.


Question #40

Hints:

1) Look at the patters on the cubes carefully.

2) If it helps, try making paper cubes with these symbols.


Question #41

Hints:

1) 210=2*3*5*7.

2) the other number=2*3*5*?.

3) try ?=1,2,3,... (remember their least common multiple is 420).


Question #42

Hints:

1) How much do you pay for the banana with the peel?

2) If 1/8 of the banana is the peeling, how much do you spend on the banana peel?

3) How much do you spend on the banana itself?


Question #43

Hints:

1) What is the area of one desk?

2) Find the area of each part and add all the areas to find the total area.

3) If there are 30 desks, how much wood in square centimetres do they need?


Question #44

Hints:

1) You can do this in many different ways. You can divide the figure into different shapes to actually find the area of the figure. Or you may want to try a different way.


Question #45

Hints:

1) How do you find the area of a parallelogram?