May 2025 Cambridge IGCSE Mathematics 0580/42
FULL TEST BANK — MAY 2025 CAMBRIDGE IGCSE MATHEMATICS 0580/42 |
VERIFIED QUESTIONS, ANSWERS & NCLEX-LEVEL RATIONALES FOR ALL CHAPTERS (2026 UPDATED VERSION)
EXAMINATION PREP | 2026/2027 EDITION | VERIFIED QUESTIONS
QUESTIONS AND ANSWERS ALREADY GRADED A+ | 100% Verified Solutions | Updated Per Latest Guidelines | Graded A+
FULL TEST BANK — MAY 2025 CAMBRIDGE IGCSE MATHEMATIC...
Examination Questions & Rationales (75 Items)
Question 1.
Solve the linear equation for x in "May 2025 Cambridge IGCSE Mathematics 0580/42": 4(2x - 3) + 7 = 3(x + 5) - 4. What is the
value of x?
A) x = 3.2
B) x = 2.4
C) x = 4.0
D) x = 1.8
Correct Answer: A
Rationale: Expand both sides: 8x - 12 + 7 = 3x + 15 - 4 -> 8x - 5 = 3x + 11 -> 5x = 16 -> x = 3.2. Distractor options (B, C, D)
represent clinically or methodologically incorrect choices that fail to address the core safety and diagnostic
priorities.
Question 2.
A medication dosage calculation problem: A healthcare provider orders 250 mg of medication. The oral solution is labeled 125
mg per 5 mL. How many mL should be administered?
A) 5 mL
B) 10 mL
C) 15 mL
D) 2.5 mL
Correct Answer: B
Rationale: Using ratio and proportion: (250 mg / 125 mg) * 5 mL = 2 * 5 mL = 10 mL. Distractor options (A, C, D) represent
clinically or methodologically incorrect choices that fail to address the core safety and diagnostic priorities.
Question 3.
In a right triangle relevant to "May 2025 Cambridge IGCSE Mathematics 0580/42", the hypotenuse is 13 cm and one leg is 5
cm. What is the length of the remaining leg?
A) 10 cm
B) 8 cm
C) 12 cm
D) 14 cm
Correct Answer: C
Rationale: By the Pythagorean theorem: a^2 + 5^2 = 13^2 -> a^2 + 25 = 169 -> a^2 = 144 -> a = 12 cm. Distractor options
(A, B, D) represent clinically or methodologically incorrect choices that fail to address the core safety and
diagnostic priorities.
Page 1
,MAY 2025 CAMBRIDGE IGCSE MATHEMATICS 0580/42
Question 4.
[Case Scenario #4] Solve the linear equation for x in "May 2025 Cambridge IGCSE Mathematics 0580/42": 4(2x - 3) + 7 = 3(x +
5) - 4. What is the value of x?
A) x = 2.4
B) x = 4.0
C) x = 1.8
D) x = 3.2
Correct Answer: D
Rationale: Expand both sides: 8x - 12 + 7 = 3x + 15 - 4 -> 8x - 5 = 3x + 11 -> 5x = 16 -> x = 3.2. Distractor options (A, B, C)
represent clinically or methodologically incorrect choices that fail to address the core safety and diagnostic
priorities.
Question 5.
[Case Scenario #5] A medication dosage calculation problem: A healthcare provider orders 250 mg of medication. The oral
solution is labeled 125 mg per 5 mL. How many mL should be administered?
A) 10 mL
B) 5 mL
C) 15 mL
D) 2.5 mL
Correct Answer: A
Rationale: Using ratio and proportion: (250 mg / 125 mg) * 5 mL = 2 * 5 mL = 10 mL. Distractor options (B, C, D) represent
clinically or methodologically incorrect choices that fail to address the core safety and diagnostic priorities.
Question 6.
[Case Scenario #6] In a right triangle relevant to "May 2025 Cambridge IGCSE Mathematics 0580/42", the hypotenuse is 13 cm
and one leg is 5 cm. What is the length of the remaining leg?
A) 10 cm
B) 12 cm
C) 8 cm
D) 14 cm
Correct Answer: B
Rationale: By the Pythagorean theorem: a^2 + 5^2 = 13^2 -> a^2 + 25 = 169 -> a^2 = 144 -> a = 12 cm. Distractor options
(A, C, D) represent clinically or methodologically incorrect choices that fail to address the core safety and
diagnostic priorities.
Question 7.
[Case Scenario #7] Solve the linear equation for x in "May 2025 Cambridge IGCSE Mathematics 0580/42": 4(2x - 3) + 7 = 3(x +
5) - 4. What is the value of x?
A) x = 2.4
B) x = 4.0
C) x = 3.2
D) x = 1.8
Correct Answer: C
Rationale: Expand both sides: 8x - 12 + 7 = 3x + 15 - 4 -> 8x - 5 = 3x + 11 -> 5x = 16 -> x = 3.2. Distractor options (A, B, D)
represent clinically or methodologically incorrect choices that fail to address the core safety and diagnostic
priorities.
Page 2
, MAY 2025 CAMBRIDGE IGCSE MATHEMATICS 0580/42
Question 8.
[Case Scenario #8] A medication dosage calculation problem: A healthcare provider orders 250 mg of medication. The oral
solution is labeled 125 mg per 5 mL. How many mL should be administered?
A) 5 mL
B) 15 mL
C) 2.5 mL
D) 10 mL
Correct Answer: D
Rationale: Using ratio and proportion: (250 mg / 125 mg) * 5 mL = 2 * 5 mL = 10 mL. Distractor options (A, B, C) represent
clinically or methodologically incorrect choices that fail to address the core safety and diagnostic priorities.
Question 9.
[Case Scenario #9] In a right triangle relevant to "May 2025 Cambridge IGCSE Mathematics 0580/42", the hypotenuse is 13 cm
and one leg is 5 cm. What is the length of the remaining leg?
A) 12 cm
B) 10 cm
C) 8 cm
D) 14 cm
Correct Answer: A
Rationale: By the Pythagorean theorem: a^2 + 5^2 = 13^2 -> a^2 + 25 = 169 -> a^2 = 144 -> a = 12 cm. Distractor options
(B, C, D) represent clinically or methodologically incorrect choices that fail to address the core safety and
diagnostic priorities.
Question 10.
[Case Scenario #10] Solve the linear equation for x in "May 2025 Cambridge IGCSE Mathematics 0580/42": 4(2x - 3) + 7 = 3(x
+ 5) - 4. What is the value of x?
A) x = 2.4
B) x = 3.2
C) x = 4.0
D) x = 1.8
Correct Answer: B
Rationale: Expand both sides: 8x - 12 + 7 = 3x + 15 - 4 -> 8x - 5 = 3x + 11 -> 5x = 16 -> x = 3.2. Distractor options (A, C, D)
represent clinically or methodologically incorrect choices that fail to address the core safety and diagnostic
priorities.
Question 11.
[Case Scenario #11] A medication dosage calculation problem: A healthcare provider orders 250 mg of medication. The oral
solution is labeled 125 mg per 5 mL. How many mL should be administered?
A) 5 mL
B) 15 mL
C) 10 mL
D) 2.5 mL
Correct Answer: C
Rationale: Using ratio and proportion: (250 mg / 125 mg) * 5 mL = 2 * 5 mL = 10 mL. Distractor options (A, B, D) represent
clinically or methodologically incorrect choices that fail to address the core safety and diagnostic priorities.
Page 3
FULL TEST BANK — MAY 2025 CAMBRIDGE IGCSE MATHEMATICS 0580/42 |
VERIFIED QUESTIONS, ANSWERS & NCLEX-LEVEL RATIONALES FOR ALL CHAPTERS (2026 UPDATED VERSION)
EXAMINATION PREP | 2026/2027 EDITION | VERIFIED QUESTIONS
QUESTIONS AND ANSWERS ALREADY GRADED A+ | 100% Verified Solutions | Updated Per Latest Guidelines | Graded A+
FULL TEST BANK — MAY 2025 CAMBRIDGE IGCSE MATHEMATIC...
Examination Questions & Rationales (75 Items)
Question 1.
Solve the linear equation for x in "May 2025 Cambridge IGCSE Mathematics 0580/42": 4(2x - 3) + 7 = 3(x + 5) - 4. What is the
value of x?
A) x = 3.2
B) x = 2.4
C) x = 4.0
D) x = 1.8
Correct Answer: A
Rationale: Expand both sides: 8x - 12 + 7 = 3x + 15 - 4 -> 8x - 5 = 3x + 11 -> 5x = 16 -> x = 3.2. Distractor options (B, C, D)
represent clinically or methodologically incorrect choices that fail to address the core safety and diagnostic
priorities.
Question 2.
A medication dosage calculation problem: A healthcare provider orders 250 mg of medication. The oral solution is labeled 125
mg per 5 mL. How many mL should be administered?
A) 5 mL
B) 10 mL
C) 15 mL
D) 2.5 mL
Correct Answer: B
Rationale: Using ratio and proportion: (250 mg / 125 mg) * 5 mL = 2 * 5 mL = 10 mL. Distractor options (A, C, D) represent
clinically or methodologically incorrect choices that fail to address the core safety and diagnostic priorities.
Question 3.
In a right triangle relevant to "May 2025 Cambridge IGCSE Mathematics 0580/42", the hypotenuse is 13 cm and one leg is 5
cm. What is the length of the remaining leg?
A) 10 cm
B) 8 cm
C) 12 cm
D) 14 cm
Correct Answer: C
Rationale: By the Pythagorean theorem: a^2 + 5^2 = 13^2 -> a^2 + 25 = 169 -> a^2 = 144 -> a = 12 cm. Distractor options
(A, B, D) represent clinically or methodologically incorrect choices that fail to address the core safety and
diagnostic priorities.
Page 1
,MAY 2025 CAMBRIDGE IGCSE MATHEMATICS 0580/42
Question 4.
[Case Scenario #4] Solve the linear equation for x in "May 2025 Cambridge IGCSE Mathematics 0580/42": 4(2x - 3) + 7 = 3(x +
5) - 4. What is the value of x?
A) x = 2.4
B) x = 4.0
C) x = 1.8
D) x = 3.2
Correct Answer: D
Rationale: Expand both sides: 8x - 12 + 7 = 3x + 15 - 4 -> 8x - 5 = 3x + 11 -> 5x = 16 -> x = 3.2. Distractor options (A, B, C)
represent clinically or methodologically incorrect choices that fail to address the core safety and diagnostic
priorities.
Question 5.
[Case Scenario #5] A medication dosage calculation problem: A healthcare provider orders 250 mg of medication. The oral
solution is labeled 125 mg per 5 mL. How many mL should be administered?
A) 10 mL
B) 5 mL
C) 15 mL
D) 2.5 mL
Correct Answer: A
Rationale: Using ratio and proportion: (250 mg / 125 mg) * 5 mL = 2 * 5 mL = 10 mL. Distractor options (B, C, D) represent
clinically or methodologically incorrect choices that fail to address the core safety and diagnostic priorities.
Question 6.
[Case Scenario #6] In a right triangle relevant to "May 2025 Cambridge IGCSE Mathematics 0580/42", the hypotenuse is 13 cm
and one leg is 5 cm. What is the length of the remaining leg?
A) 10 cm
B) 12 cm
C) 8 cm
D) 14 cm
Correct Answer: B
Rationale: By the Pythagorean theorem: a^2 + 5^2 = 13^2 -> a^2 + 25 = 169 -> a^2 = 144 -> a = 12 cm. Distractor options
(A, C, D) represent clinically or methodologically incorrect choices that fail to address the core safety and
diagnostic priorities.
Question 7.
[Case Scenario #7] Solve the linear equation for x in "May 2025 Cambridge IGCSE Mathematics 0580/42": 4(2x - 3) + 7 = 3(x +
5) - 4. What is the value of x?
A) x = 2.4
B) x = 4.0
C) x = 3.2
D) x = 1.8
Correct Answer: C
Rationale: Expand both sides: 8x - 12 + 7 = 3x + 15 - 4 -> 8x - 5 = 3x + 11 -> 5x = 16 -> x = 3.2. Distractor options (A, B, D)
represent clinically or methodologically incorrect choices that fail to address the core safety and diagnostic
priorities.
Page 2
, MAY 2025 CAMBRIDGE IGCSE MATHEMATICS 0580/42
Question 8.
[Case Scenario #8] A medication dosage calculation problem: A healthcare provider orders 250 mg of medication. The oral
solution is labeled 125 mg per 5 mL. How many mL should be administered?
A) 5 mL
B) 15 mL
C) 2.5 mL
D) 10 mL
Correct Answer: D
Rationale: Using ratio and proportion: (250 mg / 125 mg) * 5 mL = 2 * 5 mL = 10 mL. Distractor options (A, B, C) represent
clinically or methodologically incorrect choices that fail to address the core safety and diagnostic priorities.
Question 9.
[Case Scenario #9] In a right triangle relevant to "May 2025 Cambridge IGCSE Mathematics 0580/42", the hypotenuse is 13 cm
and one leg is 5 cm. What is the length of the remaining leg?
A) 12 cm
B) 10 cm
C) 8 cm
D) 14 cm
Correct Answer: A
Rationale: By the Pythagorean theorem: a^2 + 5^2 = 13^2 -> a^2 + 25 = 169 -> a^2 = 144 -> a = 12 cm. Distractor options
(B, C, D) represent clinically or methodologically incorrect choices that fail to address the core safety and
diagnostic priorities.
Question 10.
[Case Scenario #10] Solve the linear equation for x in "May 2025 Cambridge IGCSE Mathematics 0580/42": 4(2x - 3) + 7 = 3(x
+ 5) - 4. What is the value of x?
A) x = 2.4
B) x = 3.2
C) x = 4.0
D) x = 1.8
Correct Answer: B
Rationale: Expand both sides: 8x - 12 + 7 = 3x + 15 - 4 -> 8x - 5 = 3x + 11 -> 5x = 16 -> x = 3.2. Distractor options (A, C, D)
represent clinically or methodologically incorrect choices that fail to address the core safety and diagnostic
priorities.
Question 11.
[Case Scenario #11] A medication dosage calculation problem: A healthcare provider orders 250 mg of medication. The oral
solution is labeled 125 mg per 5 mL. How many mL should be administered?
A) 5 mL
B) 15 mL
C) 10 mL
D) 2.5 mL
Correct Answer: C
Rationale: Using ratio and proportion: (250 mg / 125 mg) * 5 mL = 2 * 5 mL = 10 mL. Distractor options (A, B, D) represent
clinically or methodologically incorrect choices that fail to address the core safety and diagnostic priorities.
Page 3
