Math Problem Statement
Solution
The image you uploaded contains a mathematics test in Indonesian with various questions covering arithmetic, basic geometry, unit conversions, and other mathematical concepts. I will walk through the process of solving these problems, highlighting key areas.
1. Arithmetic and Basic Operations:
- Q1 (77 + 26) = 103
- Q2 (454 + 891) = 1345
- Q3 (5742 + 3489) = 9231
- Q4 (37 - 43) = -6
- Q5 (664 - 278) = 386
- Q6 (3521 - 1987) = 1534
- Q7 (18 × 37) = 666
- Q8 (504 ÷ 8) = 63
- Q9 (931 ÷ 49) = 19
- Q10 (8 = 17 ?), likely a missing term in an equation (please clarify for more precise help).
- Q11 (9 × ? = 63): ? = 7
- Q12 (3x - 11 = ?), missing right-hand value (clarification needed).
- Q13 (8 - 2 + 6) = 12
- Q14 (10 + 5 + 7) = 22
- Q15 (10 + 3 × 2) = 16 (following order of operations).
2. Unit Conversions:
- Q16 (12 cm = ? mm): 12 cm = 120 mm.
- Q17 (9 m = ? cm): 9 m = 900 cm.
- Q18 (6 km = ? m): 6 km = 6000 m.
- Q19 (3 kg = ? g): 3 kg = 3000 g.
- Q20 (7 t = ? kg): 7 t = 7000 kg.
- Q21 (5 cc = ? ml): 5 cc = 5 ml (since 1 cc = 1 ml).
- Q22 (8 ℓ = ? cc): 8 ℓ = 8000 cc (since 1 liter = 1000 cc).
- Q23 (7 menit = ? detik): 7 minutes = 420 seconds.
- Q24 (2.5 jam = ? menit): 2.5 hours = 150 minutes.
- Q25 (180 menit = ? jam): 180 minutes = 3 hours.
3. Basic Arithmetic Expressions:
- Q26 (√49) = 7
- Q27 (9) = 9
- Q28 (0.3 + 0.7) = 1
- Q29 (0.4 - 0.3) = 0.1
- Q30 (3.1 + 0.01) = 3.11
- Q31 (0.4 × 0.1) = 0.04
- Q32 (3 ÷ 12) = 0.25
- Q33 (⅓ + ⅕) = 8/15
- Q34 (50 × ⅗) = 30
- Q35 (2⅘ - 1⅕) = 1⅗
4. Additional Questions:
- Q36 (0.9 = ?): This needs clarification on what to solve.
- Q37, Q38 are number sequences with missing terms.
- Q39 (mean of 58, 9, 50) = 39
- Q40-Q42 (maximum, median, and minimum values are straightforward).
5. Geometry and Areas:
-
Q46 (Area of rectangle) = 5 cm × 7 cm = 35 cm².
-
Q47 (Area of triangle) = ½ × 7 cm × 4 cm = 14 cm².
-
Q48 (Area of circle with radius 4 cm) = πr² = π(4)² = 16π ≈ 50.27 cm².
-
Q49 (Volume of cuboid 6×3×10 cm) = 6 × 3 × 10 = 180 cm³.
-
Q50 (Circumference of circle with diameter 7 cm) = πd = 7π ≈ 21.99 cm.
Would you like a deeper explanation for any of these problems or more details on a specific topic?
5 Related Questions:
- What is the difference between mean, median, and mode?
- How do you calculate the area of a triangle given the base and height?
- Can you explain the order of operations for arithmetic expressions (PEMDAS)?
- How are unit conversions between metric units done?
- How do you find the volume of a rectangular prism?
Tip: For unit conversions, always remember that multiplying or dividing by powers of 10 (like 1000 for liters to milliliters) is key in metric systems.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Arithmetic Operations
Unit Conversions
Basic Geometry
Statistics (Mean, Median, Mode)
Formulas
Area of Rectangle = length × width
Area of Triangle = ½ × base × height
Area of Circle = πr²
Circumference of Circle = πd
Volume of Rectangular Prism = length × width × height
Mean = sum of values / number of values
Theorems
Pythagorean theorem (if applicable in extended problems)
Suitable Grade Level
Grades 6-8
Related Recommendation
Math Worksheet: Geometry, Measurement, Probability, and Problem Solving
Basic Arithmetic and Percentage Conversion Problems for Grades 6-8
Math Problem Solving: Algebra, Graphs, and Geometry Challenges
Math Practice: Simplification, Geometry, and Conversions
Solutions to Basic Arithmetic and Algebraic Equations with Unit Conversions