Foundational Mathematics: Arithmetic, Fractions, Decimals, Percentages, Algebra, Geometry, and Statistics
8 minFull explanation, worked examples & memory tricks in the app
Kit Library / Mathematics / General Mathematics
⚡ Topic Learning KitShared by a Veda learner · Generated with Veda AI
Full explanation, worked examples & memory tricks in the app
All 16 questions, laddered from warm-up to topper-level, each with its answer and the reasoning behind it.
Q1. What is $15 + 27$?
BeginnerA · 42
Adding 15 and 27 gives 42.
Q2. Which fraction is equivalent to $\frac{2}{3}$?
BeginnerA · $\frac{6}{9}$
$\frac{2}{3} = \frac{2 \times 3}{3 \times 3} = \frac{6}{9}$.
Q3. What is $0.75$ as a fraction in simplest form?
BeginnerA · $\frac{3}{4}$
$0.75 = \frac{75}{100} = \frac{3}{4}$.
Q4. What is $20\%$ of $150$?
BeginnerA · 30
$20\%$ of $150 = 0.20 \times 150 = 30$.
Q5. What is the area of a rectangle with length $8$ cm and width $5$ cm?
BeginnerB · $40$ cm$^2$
Area of a rectangle = length × width = $8 \times 5 = 40$ cm$^2$.
Q6. Which of the following is a prime number?
BeginnerA · 7
7 has only two factors: 1 and 7. The others are composite.
Q7. What is the perimeter of a square with side length $6$ cm?
BeginnerC · $24$ cm
Perimeter of a square = $4 \times$ side = $4 \times 6 = 24$ cm.
Q8. The sum of two odd numbers is always even.
BeginnerA · True
For example, $3 + 5 = 8$, which is even. In general, odd + odd = even.
Q9. Solve for $x$: $2x + 5 = 13$.
IntermediateC · $x = 4$
Subtract 5: $2x = 8$, then divide by 2: $x = 4$.
Q10. What is the mean of the numbers $4, 8, 6, 10, 2$?
IntermediateB · 6
Mean = $(4+8+6+10+2)/5 = 30/5 = 6$.
Q11. What is $\frac{1}{2} + \frac{1}{3}$?
IntermediateB · $\frac{5}{6}$
Common denominator 6: $\frac{3}{6} + \frac{2}{6} = \frac{5}{6}$.
Q12. What is $0.6 \times 0.4$?
IntermediateA · 0.24
$6 \times 4 = 24$, and there are two decimal places, so $0.24$.
Q13. If a shirt costs $\$40$ and is on sale for $25\%$ off, what is the sale price?
IntermediateB · $\$30$
Discount = $25\%$ of $\$40 = \$10$. Sale price = $\$40 - \$10 = \$30$.
Q14. Simplify: $3(x + 2) - 4$.
IntermediateDistribute: $3x + 6 - 4 = 3x + 2$.
Q15. What is the median of the data set $3, 7, 5, 9, 11$?
IntermediateA · 7
Arrange in order: 3, 5, 7, 9, 11. The middle value is 7.
Q16. The mode of a data set is always one of the numbers in the set.
IntermediateA · True
The mode is the most frequent value, so it must be a member of the data set.
40 flashcards in this kit — the app reviews them with spaced repetition so the right card returns on the right day.
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