CSS - PMS - CCE - PCS - Mathematics
Geometry
Isosceles triangle vertex angle 56°. Find each base angle.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><text x="25" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A</text><text x="225" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B</text><text x="126" y="28" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">C</text><text x="52" y="132" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text><text x="187" y="132" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text><text x="118" y="58" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">56°</text></svg>
A. 57°
B. 72°
C. 62°
D. 67°
Correct Answer: C
Each base angle=(180°−56°)/2=62°.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Isosceles triangle vertex angle 52°. Find each base angle.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><text x="25" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A</text><text x="225" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B</text><text x="126" y="28" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">C</text><text x="52" y="132" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text><text x="187" y="132" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text><text x="118" y="58" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">52°</text></svg>
A. 69°
B. 64°
C. 59°
D. 74°
Correct Answer: B
Each base angle=(180°−52°)/2=64°.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Isosceles triangle vertex angle 48°. Find each base angle.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><text x="25" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A</text><text x="225" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B</text><text x="126" y="28" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">C</text><text x="52" y="132" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text><text x="187" y="132" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text><text x="118" y="58" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">48°</text></svg>
A. 76°
B. 66°
C. 61°
D. 71°
Correct Answer: B
Each base angle=(180°−48°)/2=66°.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Isosceles triangle vertex angle 44°. Find each base angle.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><text x="25" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A</text><text x="225" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B</text><text x="126" y="28" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">C</text><text x="52" y="132" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text><text x="187" y="132" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text><text x="118" y="58" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">44°</text></svg>
A. 78°
B. 73°
C. 63°
D. 68°
Correct Answer: D
Each base angle=(180°−44°)/2=68°.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Isosceles triangle vertex angle 40°. Find each base angle.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><text x="25" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A</text><text x="225" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B</text><text x="126" y="28" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">C</text><text x="52" y="132" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text><text x="187" y="132" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text><text x="118" y="58" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">40°</text></svg>
A. 80°
B. 75°
C. 65°
D. 70°
Correct Answer: D
Each base angle=(180°−40°)/2=70°.
CSS - PMS - CCE - PCS - Mathematics
Geometry
A solid has volume 170 cm³. Linear dimensions are scaled by 4. Find new volume.
A. 10860 cm³
B. 10900 cm³
C. 10880 cm³
D. 10920 cm³
Correct Answer: C
Volume scales by k³: 170×4³=10880 cm³.
CSS - PMS - CCE - PCS - Mathematics
Geometry
A solid has volume 160 cm³. Linear dimensions are scaled by 3. Find new volume.
A. 4320 cm³
B. 4360 cm³
C. 4300 cm³
D. 4340 cm³
Correct Answer: A
Volume scales by k³: 160×3³=4320 cm³.
CSS - PMS - CCE - PCS - Mathematics
Geometry
A solid has volume 150 cm³. Linear dimensions are scaled by 2. Find new volume.
A. 1200 cm³
B. 1240 cm³
C. 1220 cm³
D. 1180 cm³
Correct Answer: A
Volume scales by k³: 150×2³=1200 cm³.
CSS - PMS - CCE - PCS - Mathematics
Geometry
A solid has volume 140 cm³. Linear dimensions are scaled by 5. Find new volume.
A. 17480 cm³
B. 17540 cm³
C. 17500 cm³
D. 17520 cm³
Correct Answer: C
Volume scales by k³: 140×5³=17500 cm³.
CSS - PMS - CCE - PCS - Mathematics
Geometry
A solid has volume 130 cm³. Linear dimensions are scaled by 4. Find new volume.
A. 8340 cm³
B. 8300 cm³
C. 8320 cm³
D. 8360 cm³
Correct Answer: C
Volume scales by k³: 130×4³=8320 cm³.
CSS - PMS - CCE - PCS - Mathematics
Geometry
A solid has volume 120 cm³. Linear dimensions are scaled by 3. Find new volume.
A. 3220 cm³
B. 3280 cm³
C. 3240 cm³
D. 3260 cm³
Correct Answer: C
Volume scales by k³: 120×3³=3240 cm³.
CSS - PMS - CCE - PCS - Mathematics
Geometry
A solid has volume 110 cm³. Linear dimensions are scaled by 2. Find new volume.
A. 880 cm³
B. 860 cm³
C. 900 cm³
D. 920 cm³
Correct Answer: A
Volume scales by k³: 110×2³=880 cm³.
CSS - PMS - CCE - PCS - Mathematics
Geometry
A solid has volume 100 cm³. Linear dimensions are scaled by 5. Find new volume.
A. 12520 cm³
B. 12500 cm³
C. 12540 cm³
D. 12480 cm³
Correct Answer: B
Volume scales by k³: 100×5³=12500 cm³.
CSS - PMS - CCE - PCS - Mathematics
Geometry
A solid has volume 90 cm³. Linear dimensions are scaled by 4. Find new volume.
A. 5780 cm³
B. 5740 cm³
C. 5800 cm³
D. 5760 cm³
Correct Answer: D
Volume scales by k³: 90×4³=5760 cm³.
CSS - PMS - CCE - PCS - Mathematics
Geometry
A solid has volume 80 cm³. Linear dimensions are scaled by 3. Find new volume.
A. 2140 cm³
B. 2180 cm³
C. 2200 cm³
D. 2160 cm³
Correct Answer: D
Volume scales by k³: 80×3³=2160 cm³.
CSS - PMS - CCE - PCS - Mathematics
Geometry
A solid has volume 70 cm³. Linear dimensions are scaled by 2. Find new volume.
A. 600 cm³
B. 580 cm³
C. 560 cm³
D. 540 cm³
Correct Answer: C
Volume scales by k³: 70×2³=560 cm³.
CSS - PMS - CCE - PCS - Mathematics
Geometry
A solid has volume 60 cm³. Linear dimensions are scaled by 5. Find new volume.
A. 7500 cm³
B. 7480 cm³
C. 7540 cm³
D. 7520 cm³
Correct Answer: A
Volume scales by k³: 60×5³=7500 cm³.
CSS - PMS - CCE - PCS - Mathematics
Geometry
A solid has volume 50 cm³. Linear dimensions are scaled by 4. Find new volume.
A. 3220 cm³
B. 3180 cm³
C. 3240 cm³
D. 3200 cm³
Correct Answer: D
Volume scales by k³: 50×4³=3200 cm³.
CSS - PMS - CCE - PCS - Mathematics
Geometry
A solid has volume 40 cm³. Linear dimensions are scaled by 3. Find new volume.
A. 1120 cm³
B. 1060 cm³
C. 1080 cm³
D. 1100 cm³
Correct Answer: C
Volume scales by k³: 40×3³=1080 cm³.
CSS - PMS - CCE - PCS - Mathematics
Geometry
A solid has volume 30 cm³. Linear dimensions are scaled by 2. Find new volume.
A. 280 cm³
B. 260 cm³
C. 240 cm³
D. 220 cm³
Correct Answer: C
Volume scales by k³: 30×2³=240 cm³.