Grade Seven Hints

Question #1

Hints:

1) Set up two equations

Hints:

1) Find rate of one man

Hints:

1) Let x = total number of bags

Hints:

1) Let x = seats in Theatre 3. Then number of seats in Theatre 2 = x + 150 seats.

Hints:

1) Let 1970 cost = ($0.75)*1.15

Hints:

1) Open top box

Hints:

1) Purse cost $15.00

Hints:

1) Stephanie spends all of money from her mother and grandmother

Hints:

1) Volume/Rate = Time

Hints:

1) Find length of x first

2) Find area of A and area of B

Hints:

1) W = diameter = 2r

Hints:

1) Find total number of stalls filled

Hints:

1) Sides of square are equal

Hints:

1) Find total number of kilmoeters travelled per month

Hints:

1) 1/6 less than 700 = 5/6(700)

Hints:

1) Draw triangle A and fit triangle Bs into it 2) How many times will the area of B divide the area of A?

Hints:

1) Total volume = 8 * 225 + 27 * 515

Hints:

1) Find distance travelled after first kilometer

Hints:

1) Use table to calculate total amount of gas used by each person

Hints:

1) Total area of square = (1/4 + 3/4) * (2/3 + 1/3) = 1 * 1 = 1

Hints:

1) Let x = the number of hours that have already passed

Hints:

1) An increase in the height h by 30% is (1+0.3)h=1.3h.

Hints:

1) Look for a pattern: Begin at the bottom of the column - subtract the first number from the next number and compare to the difference of the corresponding two numbers in the other column

Hints:

1) You will only find 99.98 percent

Hints:

1) Find the cost of a .75 m tire

2) Use to find cost of big rig tire

Hints:

1) Find the proportion of money paid by each person

Hints:

1) Let x = the number of cookies eaten the first day

Hints:

1) Triangle AMN: base = height = 1/2 s

Hints:

1) Connecting 2 chains requires one cut and one weld.

Hints:

1) Use the sum of the column of numbers given to find the target total for each column or diagonal

Hints:

1) Convert meters to centimeters

2) Find the artist's scale, as indicated by the actual size of the rose bush compared to the size of the artist's drawing

Hints:

1) The three lines divide the two sides in 4 pieces each. Look at how many sections there would be if four lines were extended from each vertex.

Hints:

1) ST. F.X. scored 1653 points, which was 38 percent of the total points. Find total number of points for all 4 teams.

Hints:

1) You know the base and height of the shaded areas.

Hints:

1) Look at Stephanie's weekly salary to determine how many weeks she must work to make the same amount of money as Rachel makes in one year

Hints:

1) Draw a sketch

Hints:

1) Work backwards from day 16

2) If the amount covered doubles every day, then each previous day is covered only half as much as the next day

Hints:

1) There is more than one solution

Hints:

1) Use equation of a line: y = m x + b

2) Look at the slope of the two diagonals

Hints:

1) Look at how much water drips every second

2) Calculate number of seconds in one year

Hints:

1) Length of sides of square equal 2 * radius of circle (circles are equal)

2) The square contains 4 quarters of equal circles

Hints:

1) Calculate price each person paid for the car, working from Rachel to Raelene, to Rick

Hints:

1) Distance = Rate * Time

2) Rate = Distance/Time

Hints:

1) Use Pythagorean theorem: a² + b² = c²

Hints:

1) Area of a trapezoid = 1/2 * h * sum of the top and bottom sides

Hints:

1) The sum of the four angles of a quadrilateral is 360 degrees

Hints:

1) Use pythagorean theorem to find the length of one side of the square

Hints:

1) Look at the ratio of the number of teeth in wheel B to wheel A

Hints:

1) Use the sketch

2) Use similar triangles