Math Study Guide 2026
Everything you need to pass the Math exam in one place: the exam format, every topic to study, real practice questions with explanations, flashcards, and full-length practice tests. Free, no sign-up needed.
📋 Math Exam Format at a Glance
📚 Math Topics to Study (21)
✍️ Sample Math Questions & Answers
1. What is the surface area of a rectangular box that is 3 cm × 4 cm × 5 cm?
Surface area = 2(lw + lh + wh) = 2(12 + 15 + 20) = 2 × 47 = 94 cm².
2. The writer is considering deleting the underlined sentence. Should the sentence be kept or deleted?
The sentence should be deleted because it shifts the focus away from the paragraph's main topic, which is the community stakeholders transportation planners work with. Discussing the general benefits of walking, while potentially related to urban planning, does not directly contribute to the specific theme of stakeholder engagement. Deleting it improves the paragraph's coherence and focus.
3. What is the area of a circle with diameter 10 cm? (Use π ≈ 3.14)
Radius = 5 cm; Area = πr² = 3.14 × 25 = 78.5 cm².
4. When a parenthesis is preceded by a minus sign, each phrase changes to a different sign when the parentheses are removed.
When a parenthesis is preceded by a minus sign, it indicates that every term inside the parentheses must be multiplied by -1. This operation effectively reverses the sign of each term: positive terms become negative, and negative terms become positive. For example, -(a - b + c) correctly expands to -a + b - c, demonstrating that each term's sign changes.
5. The height ratio between two structures is 7 to 5. The tallest structure is 210 feet. How high is the second structure?
The height ratio between the two structures is 7 to 5, with the tallest structure corresponding to the '7' part of the ratio. Given that the tallest structure is 210 feet, we can set up a proportion: 7/5 = 210/x, where x is the height of the second structure. Cross-multiplying gives 7x = 5 * 210, which simplifies to 7x = 1050. Dividing both sides by 7, we find x = 150 feet for the second structure.
6. A frequency table shows scores: 70 (×3), 80 (×4), 90 (×3). What is the mean score?
Mean = (70×3 + 80×4 + 90×3) ÷ 10 = (210 + 320 + 270) ÷ 10 = 800 ÷ 10 = 80.