SCAT ADVANCED LEVEL MATH PRACTICE TEST

Question 1 :

The graph shows the total rainfall for six months last year in City C. 

According to the graph, what is the mean monthly rainfall?

(A) 7.5 cm    (B) 8.0 cm    (C) 9.5 cm    (D) 10.0 cm

Solution

Question 2 :

A set of 7 numbers has a mean of 9. What additional number must be included in this set to create a new set with a mean that is 3 less than the mean of the original set?

(A) –15    (B) –18    (C) –23     (D) –39

Solution

Question 3 :

Bill has 10 coins, all of which are dimes and quarters. If his dimes were quarters and his quarters were dimes, his coins would total 30 cents more. How many quarters does Bill have? 

(Note: 1 dime = $.10; 1 quarter = $.25)

(A) 2    (B) 3    (C) 4     (D) 6

Solution

Question 4 :

There are 7 same-sized cups filled with water which will be used for watering plants. Fred used 1/3 of each cup of water. Janice used 1/4 of each cup of water. Approximately how many cups of water remain?

(A) 3 cups    (B) 3.5 cups    (C) 4 cups    (D) 4.5 cups

Solution

Question 5 :

The area of the entire rectangle shown is 96 cm².

What is the area of the shaded region?

(A) 2 cm²      (B) 4 cm²     (C) 8 cm²      (D) 12 cm²

Solution

Question 6 :

Which number is closest to the square root of 150?

(A) 10   (B) 12   (C) 20    (D) 75

Solution

Question 7 :

The figures show two cubes whose volumes (V) are proportional.

What is the ratio of the side length of Figure 1 to the side length of Figure 2?

(A) 1 to 64    (B) 1 to 16    (C) 1 to 4    (D) 1 to 2

Solution

Question 8 :

Joey has a new system of currency using coins, stamps, and chips. The values are shown below.

1 coin = 2 stamps

3 chips = 2 coins

Joey is paying his friend 12 chips. How many stamps is this payment worth? 

(A) 4    (B) 6    (C) 12    (D) 16

Solution

Question 9 :

The graph shows the relationship between the number of items ordered and the total cost of the order

Using the line of best fit, what is the average cost of a single item when 60 items are ordered?

(A) $6.67    (B) $7.50    (C) $8.33    (D) $450.00

Solution

Question 10 :

If 4y – 1 = 7, then what must 8y – 2 equal?

(A) 2    (B) 8    (C) 14    (D) 16

Solution

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