Every price tag in Divisoria hides a math problem. Run thirteen stalls, one for each topic on your pointers, and earn a price tag at each. Then open for the Big Sale: the 50-point exam — all 34 items of Ma’am’s 2nd Summative Exam Reviewer, with the same numbers, plus Table Completion. After that, the Extra Stock round gives you fresh problems for practice; those are not counted in the 50.
Watch these three. From your graded papers: (1) the markup is not the selling price, you still have to add it to the cost; (2) tiny percents like 0.002% need extra zeros; (3) an exponent counts copies, so 56 is 15,625, not 25,000. Stalls 4, 7 and 12 drill these hardest.
STALL 01pp. 156–157, 183
Ratio
Mother puts 6 oranges and 9 tomatoes on the table. Is that 6 : 9, 9 : 6, or 6 : 15? All three are right, for three different questions.
SOLD! Stall 01 tag earned
STALL 02pp. 158–159
Equivalent Ratio
Liam's fruit punch uses 4 cups of orange juice for every 6 cups of pineapple. A bigger party is coming. How does he make more without changing the taste?
SOLD! Stall 02 tag earned
STALL 03pp. 159–161
Proportion
For every 6 aluminum cans, the class earns 4 points. They brought 42 cans. How do you find the points without counting one by one?
SOLD! Stall 03 tag earned
STALL 04pp. 205–207
Fraction ↔ Decimal ↔ Percent
On your worksheet, 2/5 turned into 40000.0%. One hop of the decimal point too many. Here is how to always hop the right way.
Change
Do this
Example
Fraction → Decimal
top ÷ bottom
4/5 = 4 ÷ 5 = 0.8
Decimal → Percent
× 100 (hop right 2)
0.6 → 60%
Percent → Decimal
÷ 100 (hop left 2)
5% → 0.05
Percent → Fraction
over 100, simplify
75% = 75/100 = 3/4
Percent with a decimal
× 10 top and bottom
27.5% = 275/1000 = 11/40
Tiny percent (under 1%)
still hop left 2
0.002% → 0.00002
SOLD! Stall 04 tag earned
STALL 05From your quizzes & performance tasks
Percentage, Rate and Base
Every percent problem from here to Stall 11 hides the same three characters. Learn their names once and every stall gets easier.
Name
What it is
In “30% of 250 is 75”
Rate (R)
the number with the % sign
30
Base (B)
the whole, after “of”
250
Percentage (P)
the part, near “is”
75
SOLD! Stall 05 tag earned
STALL 06Quiz 2, nos. 11–14
Discount
The book was ₱580 with 40% off. You got this one right on Quiz 2: ₱232 off, sale price ₱348. Keep doing it exactly like that.
SOLD! Stall 06 tag earned
STALL 07Performance Task #2
Markup
Your task paper: cost ₱5,000, 10% markup, answer “5000 was the selling price.” The math was fine. One last step went missing.
Discount
Markup
Who uses it
the buyer saves
the seller earns
Formula
D/OP = R/100
M/OP = R/100
Last step
subtract: OP − D
add: OP + M
Price goes
down
up
SOLD! Stall 07 tag earned
STALL 08Quiz 2, nos. 19–20
Percent of Change
Papa's salary went from ₱36,000 to ₱45,000. That is ₱9,000 more. But what percent more, and percent of which number?
SOLD! Stall 08 tag earned
STALL 09Quiz 2, Joshua’s car
Commission
Joshua sold a ₱950,750 car and earned 6% of it. He did not make the car. He earned for selling it.
SOLD! Stall 09 tag earned
STALL 10Summative Reviewer nos. 9, 31–32
Sales Tax
The price tag says ₱250. The receipt says ₱280. Where did the ₱30 come from?
SOLD! Stall 10 tag earned
STALL 11Summative Reviewer nos. 33–34
Simple Interest
Lola leaves ₱10,000 in the bank for 3 years at 5% a year. The bank pays her for letting it use her money. How much?
Letter
Meaning
P Principal
the money saved or borrowed
R Rate
percent per year, written as a decimal (5% = 0.05)
T Time
in years. 6 months = 6/12 = 0.5; 18 months = 1.5
A Amount
P + I, the total at the end
SOLD! Stall 11 tag earned
STALL 12pp. 247–253
Exponential Form
A crate holds 10 trays, a tray holds 10 boxes, a box holds 10 polvoron. That is 10 × 10 × 10, or just 103.
Exponential
Expanded
Standard
72
7 × 7
49
56
5×5×5×5×5×5
15 625
37
3×3×3×3×3×3×3
2 187
(¼)3
¼ × ¼ × ¼
1/64
106
1 followed by 6 zeros
1 000 000
SOLD! Stall 12 tag earned
STALL 13p. 247 pretest
GEMDAS Rule
10 + 6 × 5 − 3. One cashier says 77, another says 37. Only one follows the rule, and the rule decides who keeps their job.
SOLD! Stall 13 tag earned
Ma’am’s 2nd Summative Exam Reviewer
THE BIG SALE
All 34 items from Ma’am’s reviewer, with the same numbers, so you can keep her slides beside you. Four parts: Multiple Choice (1–11), Computational Skills (12–19), Problem Solving (20–34), and Table Completion. 50 points. Use scratch paper like on the real test.
Two slides in Ma’am’s answer key look wrong. No. 21 shows 3 : 1, but 18 boys out of 42 students simplifies to 3 : 7. No. 30 shows 36%, but the question asks how many lollipops, so the answer is 36 lollipops. This page checks the corrected answers. Ask Ma’am if you are unsure.
Part I · Multiple Choice
Nos. 1–11. Choose the best answer. 11 points.
Part II · Computational Skills
Nos. 12–19. 8 points.
Solve for the value of n to make an equivalent ratio.
Solve for the missing element. (Nos. 15–17)
Percentage
Rate
Base
Perform the indicated operation.
Part III · Problem Solving
Nos. 20–34. Type only the number; for a ratio, type it like 3:4. 15 points.
Part IV · Table Completion
16 points. Not among Ma’am’s 34, but Table Completion is printed on your pointers — it is what completes the 50. Fill in the missing elements, then tap CHECK under each table. Write fractions in simplest form.
A. Fraction, decimal, percent
Fraction
Decimal
Percent
B. Exponents
Exponential
Expanded
Value
Round two · new problems
EXTRA STOCK
Fresh problems you have not seen yet. Getting these right shows you can do the method on any numbers, not just remember Ma’am’s answers. 33 points of practice — not counted in the 50.
Extra · Multiple Choice
Choose the best answer. 15 points.
Extra · Computational Skill
Type the answer and tap TSEK. For a ratio, type it like 3:4. 7 points.
Extra · Problem Solving
Work it out on paper the way Ma’am wants: Given, Missing Element, Formula, Solution, Labeled Answer. Type only the number. 11 points.
End of day sales
0 / 50
Bagong Tindera
Every tycoon starts with one bilao. Tap the cards and read the receipts, then answer.
Screenshot this for Mama or Papa. Then come back in two or three days and run it again; the second run is the one that makes it stick.
Night-before receipt
All 13 tricks. Read it once tonight and once at breakfast.