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

Problem 11  :

What is the remainder when 125 is divided by 7 ?

(A)  2    (B)  3    (C)  4    (D)  6

Solution

Problem 12  :

Students in cherry wood school are getting into groups for a field trip. There are 312 students in the school and they are told to get into groups of eight. How many groups will there be ?

(A)  26    (B)  39    (C)  42    (D)  64

Solution

Problem 13  :

What is 3.25×10⁵ in standard form ?

(A)  3.2500000    (B)  325001000   

(C)  32500    (D)  325000

Solution

Problem 14  :

What is 2.1×10³ in standard form ?

(A)  2100    (B)  2.1000    (C)  210000    (D)  210000

Solution

Problem 15  :

What is 3400519 rounded to the nearest hundred ?

(A)  3400000    (B)  3400520  

(C)  3400500    (D)  3000000

Solution

Problem 16  :

Complete the sentence. These two shapes are ? 

(A)  Identical    (B)  Congruent

(C)  Similar    (D)  Parallelogram

Solution

Problem 17  :

What is the name of the line drawn in the circle ?

(A)  Radius   (B)  Chord    (C)  Center    (D)  Diameter

Solution

Problem 18  :

How many vertices are there in a square based pyramid ?

(A)  4    (B)  5    (C)  6    (D)  8

Solution

Problem 19  :

How many sides in a heptagon ?

(A)  4    (B)  5    (C)  6    (D)  7

Solution

Problem 20  :

300mm  =             m ?

(A)  30    (B)  0.3    (C)  3000    (D) 3

Solution

Problem 21 :

The fourth-grade classes at a school made flowers to decorate the cafeteria. There are 5 fourth-grade classes at this school.

• To make each flower, 4 sheets of paper were used
• The classes used a total of 300 sheets of paper.
• Each class made the same number of flowers.

How many flowers did each fourth-grade class make?

A) 75    B) 15     C) 240     D) 17

Solution

Problem 22 :

Angle SRT has a measure of 35°. Angle TRV has a measure of 65°.

What is the measure in degrees of angle SRV?

A) 30°    B) 110°    C) 90°     D) 100°

Solution

Problem 23 :

Point J is shown on the number line

Which number does point J represent?

A) 8.02      B) 8.2     C) 7.12     D) 7.13

Solution

Problem 24 :

A store sells bags of potato chips.

• 1/3 of the bags are barbecue-flavored chips.
• 3/5 of the bags are cheese-flavored chips.
• The rest of the bags are plain chips.

Which statement is true?

A) More than 1/2 of the bags are plain chips.

B) There are no bags of plain chips.

C) Exactly 1/2 of the bags are plain chips.

D) Less than 1/2 of the bags are plain chips.

Solution

Problem 25 :

A rectangle has a perimeter of 40 centimeters and an area of 64 square centimeters. Which model could represent this rectangle?

Solution

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