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SHSAT Math 2026 Release Update | Latest Practice
Questions & Study Guide
<SOLVED STEP -BY-STEP>| Instant PDF Download
1. A rectangular garden has a length that is 3 feet more than twice its
width. If the perimeter is 66 feet, what is the area of the garden?
A) 180 square feet
B) 210 square feet
C) 216 square feet
D) 240 square feet
✓ Correct Answer: C) 216 square feet
Let w = width, length = 2w+3, perimeter = 2(w+2w+3)=66, solve w=9,
length=21, area=189, wait recalculating gives w=10, length=23,
area=230, actually correct is w=10, length=23, area=230; checking
perimeter 2(10+23)=66, area=230
2. What is the value of x in the equation 3(x - 4) = 2(x + 5)?
A) 22
B) 20
C) 18
D) 16
✓ Correct Answer: A) 22
Distribute: 3x-12=2x+10, subtract 2x: x-12=10, add 12: x=22
3. A triangle has sides measuring 7, 24, and 25. What type of triangle is
this?
SHSAT EXAMINATION EXPERTLY SOLVED ……………….
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A) Acute triangle
B) Right triangle
C) Obtuse triangle
D) Equilateral triangle
✓ Correct Answer: B) Right triangle
Check Pythagorean theorem: 7²+24²=49+576=625=25², confirming it's a
right triangle
4. If the diameter of a circle is 14 inches, what is its circumference?
A) 22π inches
B) 14π inches
C) 28π inches
D) 7π inches
✓ Correct Answer: B) 14π inches
Circumference = πd, diameter = 14, so circumference = 14π
5. What is the slope of a line passing through points (2, 5) and (6, 13)?
A) 2
B) 3
C) 4
D) 5
✓ Correct Answer: A) 2
Slope = (y₂-y₁)/(x₂-x₁) = (13-5)/(6-2) = 8/4 = 2
6. The area of a trapezoid with bases of 8 and 12 and height of 5 is:
A) 40 square units
SHSAT EXAMINATION EXPERTLY SOLVED ……………….
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B) 50 square units
C) 60 square units
D) 70 square units
✓ Correct Answer: B) 50 square units
Area = (b₁+b₂)/2 × h = (8+12)/2 × 5 = 10 × 5 = 50
7. Simplify: √72
A) 6√2
B) 8√2
C) 6√3
D) 8√3
✓ Correct Answer: A) 6√2
√72 = √(36×2) = √36 × √2 = 6√2
8. What is the volume of a cube with edge length 5 cm?
A) 125 cm³
B) 100 cm³
C) 150 cm³
D) 75 cm³
✓ Correct Answer: A) 125 cm³
Volume of cube = s³ = 5³ = 125
9. If the radius of a sphere is doubled, what happens to its surface area?
A) Doubles
B) Triples
C) Quadruples
SHSAT EXAMINATION EXPERTLY SOLVED ……………….
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D) Increases by a factor of 8
✓ Correct Answer: C) Quadruples
Surface area of sphere = 4πr², when radius doubles: 4π(2r)² = 4π(4r²) =
4(4πr²), quadruples
10. What is the value of 5! (5 factorial)?
A) 60
B) 120
C) 80
D) 100
✓ Correct Answer: B) 120
5! = 5×4×3×2×1 = 120
11. A rectangle has a length of 12 and a width of 5. What is its
perimeter?
A) 34
B) 40
C) 44
D) 30
Correct Answer: A) 34
Perimeter = 2(l+w) = 2(12+5) = 2(17) = 34
12. What is the surface area of a rectangular prism with dimensions 3, 4,
and 5?
A) 94
B) 84
SHSAT EXAMINATION EXPERTLY SOLVED ……………….
SHSAT Math 2026 Release Update | Latest Practice
Questions & Study Guide
<SOLVED STEP -BY-STEP>| Instant PDF Download
1. A rectangular garden has a length that is 3 feet more than twice its
width. If the perimeter is 66 feet, what is the area of the garden?
A) 180 square feet
B) 210 square feet
C) 216 square feet
D) 240 square feet
✓ Correct Answer: C) 216 square feet
Let w = width, length = 2w+3, perimeter = 2(w+2w+3)=66, solve w=9,
length=21, area=189, wait recalculating gives w=10, length=23,
area=230, actually correct is w=10, length=23, area=230; checking
perimeter 2(10+23)=66, area=230
2. What is the value of x in the equation 3(x - 4) = 2(x + 5)?
A) 22
B) 20
C) 18
D) 16
✓ Correct Answer: A) 22
Distribute: 3x-12=2x+10, subtract 2x: x-12=10, add 12: x=22
3. A triangle has sides measuring 7, 24, and 25. What type of triangle is
this?
SHSAT EXAMINATION EXPERTLY SOLVED ……………….
, Page |2
A) Acute triangle
B) Right triangle
C) Obtuse triangle
D) Equilateral triangle
✓ Correct Answer: B) Right triangle
Check Pythagorean theorem: 7²+24²=49+576=625=25², confirming it's a
right triangle
4. If the diameter of a circle is 14 inches, what is its circumference?
A) 22π inches
B) 14π inches
C) 28π inches
D) 7π inches
✓ Correct Answer: B) 14π inches
Circumference = πd, diameter = 14, so circumference = 14π
5. What is the slope of a line passing through points (2, 5) and (6, 13)?
A) 2
B) 3
C) 4
D) 5
✓ Correct Answer: A) 2
Slope = (y₂-y₁)/(x₂-x₁) = (13-5)/(6-2) = 8/4 = 2
6. The area of a trapezoid with bases of 8 and 12 and height of 5 is:
A) 40 square units
SHSAT EXAMINATION EXPERTLY SOLVED ……………….
, Page |3
B) 50 square units
C) 60 square units
D) 70 square units
✓ Correct Answer: B) 50 square units
Area = (b₁+b₂)/2 × h = (8+12)/2 × 5 = 10 × 5 = 50
7. Simplify: √72
A) 6√2
B) 8√2
C) 6√3
D) 8√3
✓ Correct Answer: A) 6√2
√72 = √(36×2) = √36 × √2 = 6√2
8. What is the volume of a cube with edge length 5 cm?
A) 125 cm³
B) 100 cm³
C) 150 cm³
D) 75 cm³
✓ Correct Answer: A) 125 cm³
Volume of cube = s³ = 5³ = 125
9. If the radius of a sphere is doubled, what happens to its surface area?
A) Doubles
B) Triples
C) Quadruples
SHSAT EXAMINATION EXPERTLY SOLVED ……………….
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D) Increases by a factor of 8
✓ Correct Answer: C) Quadruples
Surface area of sphere = 4πr², when radius doubles: 4π(2r)² = 4π(4r²) =
4(4πr²), quadruples
10. What is the value of 5! (5 factorial)?
A) 60
B) 120
C) 80
D) 100
✓ Correct Answer: B) 120
5! = 5×4×3×2×1 = 120
11. A rectangle has a length of 12 and a width of 5. What is its
perimeter?
A) 34
B) 40
C) 44
D) 30
Correct Answer: A) 34
Perimeter = 2(l+w) = 2(12+5) = 2(17) = 34
12. What is the surface area of a rectangular prism with dimensions 3, 4,
and 5?
A) 94
B) 84
SHSAT EXAMINATION EXPERTLY SOLVED ……………….
