Grade 10 Hints


Grade Ten Hints


Question #1

Hints:

1) Let the number of fares=x


Question #2

Hints:

1) The number of shoes have to be an integer.


Question #3

Hints:

1) He had 31 dollars left after making the bet.


Question #4

Hints:

1) 3a = b, h = .5 * 3a


Question #5

Hints:

None


Question #6

Hints:

1) there are 360 degrees in one revolution


Question #7

Hints:

1) Let (x+5)= distance on day1

2) Let (x+5)/2=distance on the second day


Question #8

Hints:

1) Multiplying by an even number makes an odd number even, so 4y + 8 and 20x - 16 are even numbers.


Question #9

Hints:

1) Fix a time - say 1 min.


Question #10

Hints:

1) Set area of ABCD to x^2


Question #11

Hints:

1) Let segment BC have length x


Question #12

Hints:

1) 1^5=1

2) ((x^2-2)^5)^(1/5)=1^(1/5)=1


Question #13

Hints:

1) Solve for x using perimeter.

2) Use Pythagoras to find ??????


Question #14

Hints:

1)

		      boat at 
		      40 min

	 <------------- .

	 . -----------> .       3 km     .

      boat at	     jacket           jacket 
      20 min 	      lost	       found


Question #15

Hints:

1) Let the number be represented by abc, (a-b)^2=(b-c)^2


Question #16

Hints:

1) Use the diagram


Question #17

Hints:

1) Use similar triangles


Question #18

Hints:

1) Represent current time as 5:00-x(minutes)


Question #19

Hints:

1) Use the pythagorean theorem to the other two sides of the trapezoid.


Question #20

Hints:

159.99=(3/4)*2X


Question #21

Hints:

1)

  • Let x = Gary's salary
  • Let 2x = Mary's salary
  • Let 1/4x = Greg's spending
  • Let 1/3(2x) = Mary's spending


    Question #22

    Hints:

    1) Use a system of equations


    Question #23

    Hints:

    1) let x = distance Shawn bikes


    Question #24

    Hints:

    1) Let x = number of marbles child one has 2) Let .5 * x - 4 = number of marbles child two has


    Question #25

    Hints:

    1) Use similar triangles


    Question #26

    Hints:

    1) Use the law of sines


    Question #27

    Hints:

    1) Find the height of B via Pythagoreas


    Question #28

    Hints:

    1) The height of an isosceles triangle makes a 90 degree angle with the base.


    Question #29

    Hints:

    1) Use your knowledge of isosceles triangles


    Question #30

    Hints:

    1) Draw altitude


    Question #31

    Hints:

    1) Draw the graph choosing radius of slope o.


    Question #32

    Hints:

    1) Start by finding out how many triangle you want to use to get the right area


    Question #33

    Hints:

    1) The distance from A to X is covered in three seconds travelling at a rate of 1 m/s


    Question #34

    Hints:

    1) Solve for DB, the hypotenuse of triangle BDC


    Question #35

    Hints:

    1) Take away the area of the triangles from the area of the squares.


    Question #36

    Hints:

    1) The score of each game must contribute equally to the average


    Question #37

    Hints:

    1) Find A + B, B + C, C + D


    Question #38

    Hints:

    1) v = (1/2) * b * h * l


    Question #39

    Hints:

    1) Often a matrix resembles a data table


    Question #40

    Hints:

    1) (x + 2 - 4(3)^.5)(x + a) is a quadratic equation


    Question #41

    Hints:

    1) Let x = teachers, Let y = professors


    Question #42

    Hints:

    1) Draw a graph.