SHSAT Practice Test in Math :
Here we are going to see some practice questions questions for SHSAT exams. Each question paper consists of 20 question. For each questions, you can find solution with detailed explanation.
SHSAT Practice Test in Math
Question 15 :
Two sides of a right triangle are 3 and 4. The third side is
(A) 1 (B) 3 (C) 5 (D) 7 (E) not uniquely determined
In a right triangle, the square of hypotenuse side is equal to the sum of the squares of other two sides.
Third side = √32 + 42
= √(9 + 16)
Hence the answer is 5.
Question 16 :
A cube 3 by 3 by 3 is painted red on all six faces and then cut into 27 smaller 1 by 1 by 1 cubes. How many of these new smaller cubes have exactly two faces that are painted red?
(A) 6 (B) 8 (C) 12 (D) 21 (E) 27
Like this we may find 12 cubes under the given condition.
Question 17 :
If 2 blobs = 3 glops and 3 blobs = 2 chunks, then 1 chunk =
(A) 1 glop (B) 2/3 glop (C) 3/2 glops
(D) 4/9 glop (E) 9/4 glops
Given that :
2 blobs = 3 glops ----(1)
3 blobs = 2 chunks ----(2)
1 glap = (2/3) blobs
1 blob = 2/3 chunks
2/3 chunks = (2/3) blobs
1 chunk = 1 blob
Hence 1 blob is the answer.
(18) and (19) The two pie charts show the ice cream flavor preferences of the students at two high schools.
Question 18 :
The ratio of Montague students who prefer vanilla to Montague students who prefer chocolate is
(A) 10:9 (B) 4:3 (C) 3:10 (D) 3:4 (E) 2:5
Percentage of students who prefer Vanilla flavor
Percentage of students who prefer chocolate flavor
= 40 : 30
= 4 : 3
The the answer is 4 : 3.
Question 19 :
If the number of Montague students who prefer vanilla is M and the number of Capulet students who prefer vanilla is C, then
(A) M > 2C (B) M = 2C (C) M = C (D) M < C
(E) The relationship cannot be determined from the given information
In Montague high, percentage of students who prefer Vanilla flavor (M) = 40%
In Capulet high, percentage of students who prefer Vanilla flavor (C) = 20%
Hence the required relationship is M = 2C.
Question 20 :
If x is an integer, which one of the following must be odd?
(A) 3x + 1 (B) 3x + 2 (C) 4x - 1
(D) 4x - 2 (E) 5x – 2x
Since x is an integer, it may be odd or even.By multiplying odd or even number by 4, we get even number and by subtracting even number by 1, we get odd integer.
Hence 4x - 1 is the correct answer.
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