Sample Term Exam Questions & TOS (DO 015, s. 2026) | Free Download

Sample Term Exam Questions & TOS (DO 015, s. 2026) | Free Download

General Mathematics Sample Term Exam Questions & TOS (DepEd Order No. 015, s. 2026)

Overview & Downloadable Materials: Looking for standard-compliant General Mathematics Term Examination items aligned with DepEd Order No. 015, s. 2026? This guide features actual sample test questions incorporating the critical competencies from the first 30 instructional days (wages, overtime, piecework, commission, and arithmetic/geometric series), complete with step-by-step solutions, TOS breakdown, and downloadable test files below!

Under DepEd Order No. 015, s. 2026 (Revised Guidelines on Classroom Assessment, Grading System, and Awards and Recognition for the K to 12 Basic Education Program), Term Examinations (TEs) for Senior High School (Key Stage 4) are mandated to contain 60 items guided by a teacher-formulated Table of Specifications (TOS).

Per Paragraph 26 of DO 015, s. 2026, a Term Examination must not focus solely on newly taught post-ST2 topics. Instead, it must strategically integrate critical OR least-mastered competencies covered during the first 30 instructional days (ST1 and ST2 periods).

Why Focus on First 30 Days Critical Competencies in Gen Math?

In Senior High School General Mathematics, core mathematical concepts taught during the first 30 days serve as foundational prerequisites for business math, finance, calculus, and real-world problem solving. Incorporating these skills into the cumulative Term Examination ensures vertical articulation and long-term skill retention.

🎯 Target Critical Competencies for First 30 Days (ST1 & ST2 Period):

1. Wage & Income Calculations

Core Competency: Calculate weekly or monthly wages, hourly wages with overtime and allowances, and earnings based on commission or piecework.

Why It's Critical: Essential life skill for practical financial literacy, payroll computing, and business applications.

2. Arithmetic & Geometric Series

Core Competency: Solve real-world problems involving arithmetic and geometric series.

Why It's Critical: Serves as the foundational mathematical logic for annuity calculations, compound interest formulas, depreciation, and future value modeling in higher business mathematics.

General Mathematics TOS Structure (60 Items - Key Stage 4)

Under DO 015, s. 2026 Table 4, Key Stage 4 (Grades 11–12) Term Examinations require 60 test items. Below is the recommended percentage allocation integrating both critical competencies and post-ST2 competencies:

Instructional Period Target Competencies Item Allocation Percentage Weight
First 15 Days (ST1) Critical Skill 1: Wage calculations, overtime, allowances, commission, and piecework earnings. 12 Items 20%
Days 16–30 (ST2) Critical Skill 2: Real-world applications of Arithmetic and Geometric Series. 12 Items 20%
Days 31–40 (Post-ST2) Functions, Rational Functions, Exponential and Logarithmic Functions / Business Mathematics. 36 Items 60%
TOTAL Full Term Coverage 60 Items 100%
💡 TOS Rule Reminder: Item proportions must balance cognitive domains across Bloom's Revised Taxonomy (60% Lower Order Thinking Skills - Remembering/Understanding/Applying, and 40% Higher Order Thinking Skills - Analyzing/Evaluating/Creating).

Sample Term Exam Questions: First 30 Days Critical Competencies

Below are standardized sample test items designed for inclusion in the 60-item General Mathematics Term Examination, mapped against cognitive levels and target critical competencies:

Part I: Wage, Overtime, Commission, and Piecework Calculations

Item 1 (Applying - Overtime Calculation)
Juan works as a graphic designer with a standard hourly rate of ₱95.00 for a regular 40-hour workweek. In a specific week, he worked 48 hours. If overtime is paid at 125% of his regular hourly rate, what is Juan's total gross pay for the week?
  • A) ₱4,560.00
  • B) ₱4,750.00 ✓
  • C) ₱5,130.00
  • D) ₱5,700.00
Solution & Explanation:
• Regular Pay = 40 hours × ₱95.00 = ₱3,800.00
• Overtime Hours = 48 - 40 = 8 hours
• Overtime Rate = ₱95.00 × 1.25 = ₱118.75/hour
• Overtime Pay = 8 hours × ₱118.75 = ₱950.00
• Total Gross Pay = ₱3,800.00 + ₱950.00 = ₱4,750.00. (Correct Answer: B)
Item 2 (Analyzing - Piecework & Allowance)
Maria works in a garment factory under a piecework agreement. She is paid ₱45.00 for each quality-inspected shirt produced. Additionally, she receives a weekly meal allowance of ₱800.00. If Maria completed 112 shirts in one week, but 7 shirts failed quality inspection, what are her net total earnings for the week?
  • A) ₱5,040.00
  • B) ₱5,315.00
  • C) ₱5,525.00 ✓
  • D) ₱5,840.00
Solution & Explanation:
• Valid Shirts Produced = 112 - 7 = 105 shirts
• Piecework Earnings = 105 shirts × ₱45.00 = ₱4,725.00
• Total Earnings = ₱4,725.00 + ₱800.00 (allowance) = ₱5,525.00. (Correct Answer: C)
Item 3 (Evaluating - Commission Structure Comparison)
A real estate sales agent is offered two salary options:
Option A: A fixed monthly salary of ₱18,000.00 plus a 3% commission on total monthly sales.
Option B: No basic salary, but a straight 7% commission on total monthly sales.
At what total monthly sales amount will Option B yield a higher monthly income than Option A?
  • A) Sales greater than ₱360,000.00
  • B) Sales greater than ₱450,000.00 ✓
  • C) Sales greater than ₱500,000.00
  • D) Sales greater than ₱600,000.00
Solution & Explanation:
Set Option B > Option A:
0.07S > 18,000 + 0.03S
0.04S > 18,000
S > 18,000 / 0.04
S > ₱450,000.00
Option B yields higher earnings when monthly sales exceed ₱450,000.00. (Correct Answer: B)

Part II: Arithmetic and Geometric Series Problems

Item 4 (Applying - Arithmetic Series Real-World Problem)
A Senior High School student saves money in a piggy bank to buy a laptop for college. In the first week, she deposits ₱150.00. She increases her weekly deposit by ₱50.00 each subsequent week. How much total money will she have accumulated at the end of 20 weeks?
  • A) ₱11,000.00
  • B) ₱12,500.00 ✓
  • C) ₱13,200.00
  • D) ₱14,000.00
Solution & Explanation:
• Arithmetic Series parameters: a1 = 150, d = 50, n = 20
• Formula: Sn = (n / 2) × [2a1 + (n - 1)d]
• S20 = (20 / 2) × [2(150) + (20 - 1)(50)] = 10 × [300 + 19(50)] = 10 × [300 + 950] = 10 × 1,250 = ₱12,500.00. (Correct Answer: B)
Item 5 (Analyzing - Geometric Series Problem)
A local cooperative start-up earns a profit of ₱10,000.00 in its first month of operations. Due to business expansion, its monthly profit increases by 20% each month (common ratio r = 1.20). What is the total cumulative profit earned by the cooperative over its first 6 months of operation? (Round off to the nearest peso.)
  • A) ₱89,598.00
  • B) ₱99,299.00 ✓
  • C) ₱108,000.00
  • D) ₱120,000.00
Solution & Explanation:
• Geometric Series parameters: a1 = 10,000, r = 1.20, n = 6
• Formula: Sn = [a1 (rn - 1)] / (r - 1)
• S6 = [10,000 × (1.206 - 1)] / (1.20 - 1) = [10,000 × (2.985984 - 1)] / 0.20 = (10,000 × 1.985984) / 0.20 = ₱99,299.20 ≈ ₱99,299.00. (Correct Answer: B)

📥 Download Free Gen Math Term Examination & TOS

Get the complete, ready-to-print 60-item General Mathematics Term Examination test paper, answer key, and editable Table of Specifications (TOS) template aligned with DepEd Order No. 015, s. 2026:

📄 Gen Math Term Exam (60 Items)

Complete test paper with Answer Key & solutions for critical competencies.

Download Test Paper (DOCX)

📊 Gen Math TOS Template

Editable Table of Specifications (TOS) mapped against Bloom's Taxonomy.

Download TOS (XLSX)

⚡ Automated DepEd Term Exam Generator

Generate customized, competency-aligned Term Examinations and TOS automatically.

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