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Divide 32 in the ratio 1:3.
Total parts = 1 + 3 = 4. Each part = 32/4 = 8. Shares = 8 and 24.
8 and 24
ratio
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
What is 15% of 130?
15% of 130 = (15/100) × 130 = 19.5.
19.5
percentage
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
What is 40% of 390?
40% of 390 = (40/100) × 390 = 156.
156
percentage
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Find the GCD and LCM of 56 and 32.
GCD(56, 32) = 8. LCM = (56 × 32) / GCD = 1792/8 = 224.
GCD 8, LCM 224
number-theory
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
A rectangle is 23 cm long and 12 cm wide. Find its area and perimeter.
Area = length × width = 23 × 12 = 276 cm². Perimeter = 2 × (23 + 12) = 70 cm.
area 276 cm^2, perimeter 70 cm
geometry
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Add the fractions 1/8 + 1/1. Give the answer in simplest form.
Common denominator is 8. 1/8 = 1/8, 1/1 = 8/8. Sum = 9/8 = 9/8.
9/8
fractions
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Find the average (mean) of these numbers: 51, 70, 95, 54.
Sum = 270, count = 4. Mean = 270/4 = 67.5.
67.5
statistics
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Solve for x: 2x - 10 = -8.
Subtract -10 from both sides: 2x = 2. Divide by 2: x = 1.
1
algebra
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Add the fractions 1/1 + 9/8. Give the answer in simplest form.
Common denominator is 8. 1/1 = 8/8, 9/8 = 9/8. Sum = 17/8 = 17/8.
17/8
fractions
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Solve for x: 3x - 3 = 15.
Subtract -3 from both sides: 3x = 18. Divide by 3: x = 6.
6
algebra
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Sara buys 11 apples at 28 rupees each. How much does Sara pay in total?
Total = 11 × 28 = 308 rupees.
308
word-problem
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Simplify the fraction 32/4.
gcd(32, 4) = 4. Dividing gives 8.
8
fractions
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
A rectangle is 16 cm long and 39 cm wide. Find its area and perimeter.
Area = length × width = 16 × 39 = 624 cm². Perimeter = 2 × (16 + 39) = 110 cm.
area 624 cm^2, perimeter 110 cm
geometry
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Calculate 429 + 693.
429 + 693 = 1122.
1122
arithmetic
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Neha buys 18 chairs at 23 rupees each. How much does Neha pay in total?
Total = 18 × 23 = 414 rupees.
414
word-problem
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Evaluate 3 + 13 × 16 using the order of operations.
Multiply first: 13 × 16 = 208. Then add: 3 + 208 = 211.
211
order-of-operations
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Divide 49 in the ratio 2:5.
Total parts = 2 + 5 = 7. Each part = 49/7 = 7. Shares = 14 and 35.
14 and 35
ratio
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
What is 25% of 380?
25% of 380 = (25/100) × 380 = 95.
95
percentage
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Find the average (mean) of these numbers: 41, 74, 51, 35, 70, 41.
Sum = 312, count = 6. Mean = 312/6 = 52.
52
statistics
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Evaluate 5 raised to the power 2 (5^2).
5^2 = 5 × 5 = 25.
25
exponents
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Calculate 155 + 207.
155 + 207 = 362.
362
arithmetic
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Divide 16 in the ratio 1:3.
Total parts = 1 + 3 = 4. Each part = 16/4 = 4. Shares = 4 and 12.
4 and 12
ratio
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Simplify the fraction 9/21.
gcd(9, 21) = 3. Dividing gives 3/7.
3/7
fractions
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Calculate 342 - 286.
342 - 286 = 56.
56
arithmetic
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
A car travels at 80 km/h for 7 hours. How far does it go?
Distance = speed × time = 80 × 7 = 560 km.
560 km
word-problem
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Simplify the fraction 5/30.
gcd(5, 30) = 5. Dividing gives 1/6.
1/6
fractions
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Simplify the fraction 30/20.
gcd(30, 20) = 10. Dividing gives 3/2.
3/2
fractions
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Convert 29 kg to g.
1 kg = 1000 g, so 29 kg = 29 × 1000 = 29000 g.
29000 g
units
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Simplify the fraction 56/72.
gcd(56, 72) = 8. Dividing gives 7/9.
7/9
fractions
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
A value of 290 is increased by 10%. What is the new value?
Change = 10% of 290 = 29. New value = 290 + 29 = 319.
319
percentage
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
A circle has radius 15 cm. Find its area and circumference (use π = 3.14).
Area = πr² = 3.14 × 15² = 706.5 cm². Circumference = 2πr = 2 × 3.14 × 15 = 94.2 cm.
area 706.5 cm^2, circumference 94.2 cm
geometry
hard
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
A rectangle is 21 cm long and 30 cm wide. Find its area and perimeter.
Area = length × width = 21 × 30 = 630 cm². Perimeter = 2 × (21 + 30) = 102 cm.
area 630 cm^2, perimeter 102 cm
geometry
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Add the fractions 2/7 + 7/7. Give the answer in simplest form.
Common denominator is 7. 2/7 = 2/7, 7/7 = 7/7. Sum = 9/7 = 9/7.
9/7
fractions
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Calculate 778 - 384.
778 - 384 = 394.
394
arithmetic
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Evaluate 9 + 18 × 18 using the order of operations.
Multiply first: 18 × 18 = 324. Then add: 9 + 324 = 333.
333
order-of-operations
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Add the fractions 5/3 + 5/4. Give the answer in simplest form.
Common denominator is 12. 5/3 = 20/12, 5/4 = 15/12. Sum = 35/12 = 35/12.
35/12
fractions
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
A rectangle is 33 cm long and 22 cm wide. Find its area and perimeter.
Area = length × width = 33 × 22 = 726 cm². Perimeter = 2 × (33 + 22) = 110 cm.
area 726 cm^2, perimeter 110 cm
geometry
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Find the average (mean) of these numbers: 36, 56, 5, 72.
Sum = 169, count = 4. Mean = 169/4 = 42.25.
42.25
statistics
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
What is the next number in the sequence: 10, 15, 20, 25, ... ?
The pattern is arithmetic (adding 5), so the next term is 30.
30
sequences
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Ravi buys 7 chairs at 37 rupees each. How much does Ravi pay in total?
Total = 7 × 37 = 259 rupees.
259
word-problem
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
A value of 230 is increased by 50%. What is the new value?
Change = 50% of 230 = 115. New value = 230 + 115 = 345.
345
percentage
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Add the fractions 3/9 + 4/9. Give the answer in simplest form.
Common denominator is 9. 3/9 = 3/9, 4/9 = 4/9. Sum = 7/9 = 7/9.
7/9
fractions
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Simplify the fraction 30/36.
gcd(30, 36) = 6. Dividing gives 5/6.
5/6
fractions
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
What is 15% of 310?
15% of 310 = (15/100) × 310 = 46.5.
46.5
percentage
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
What is the next number in the sequence: 2, 8, 14, 20, ... ?
The pattern is arithmetic (adding 6), so the next term is 26.
26
sequences
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Calculate 58 * 74.
58 * 74 = 4292.
4292
arithmetic
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Divide 81 in the ratio 4:5.
Total parts = 4 + 5 = 9. Each part = 81/9 = 9. Shares = 36 and 45.
36 and 45
ratio
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
A circle has radius 12 cm. Find its area and circumference (use π = 3.14).
Area = πr² = 3.14 × 12² = 452.16 cm². Circumference = 2πr = 2 × 3.14 × 12 = 75.36 cm.
area 452.16 cm^2, circumference 75.36 cm
geometry
hard
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
A value of 390 is increased by 20%. What is the new value?
Change = 20% of 390 = 78. New value = 390 + 78 = 468.
468
percentage
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Solve for x: 6x - 10 = 62.
Subtract -10 from both sides: 6x = 72. Divide by 6: x = 12.
12
algebra
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Simplify the fraction 16/8.
gcd(16, 8) = 8. Dividing gives 2.
2
fractions
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
A circle has radius 7 cm. Find its area and circumference (use π = 3.14).
Area = πr² = 3.14 × 7² = 153.86 cm². Circumference = 2πr = 2 × 3.14 × 7 = 43.96 cm.
area 153.86 cm^2, circumference 43.96 cm
geometry
hard
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Find the GCD and LCM of 32 and 13.
GCD(32, 13) = 1. LCM = (32 × 13) / GCD = 416/1 = 416.
GCD 1, LCM 416
number-theory
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Lily buys 9 apples at 22 rupees each. How much does Lily pay in total?
Total = 9 × 22 = 198 rupees.
198
word-problem
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Amit buys 8 books at 37 rupees each. How much does Amit pay in total?
Total = 8 × 37 = 296 rupees.
296
word-problem
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
What is 25% of 210?
25% of 210 = (25/100) × 210 = 52.5.
52.5
percentage
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
A car travels at 75 km/h for 6 hours. How far does it go?
Distance = speed × time = 75 × 6 = 450 km.
450 km
word-problem
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Evaluate 12 + 20 × 10 using the order of operations.
Multiply first: 20 × 10 = 200. Then add: 12 + 200 = 212.
212
order-of-operations
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Evaluate 5 + 20 × 9 using the order of operations.
Multiply first: 20 × 9 = 180. Then add: 5 + 180 = 185.
185
order-of-operations
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
What is the next number in the sequence: 3, 6, 12, 24, ... ?
The pattern is geometric (multiplying by 2), so the next term is 48.
48
sequences
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
A rectangle is 28 cm long and 12 cm wide. Find its area and perimeter.
Area = length × width = 28 × 12 = 336 cm². Perimeter = 2 × (28 + 12) = 80 cm.
area 336 cm^2, perimeter 80 cm
geometry
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
A circle has radius 16 cm. Find its area and circumference (use π = 3.14).
Area = πr² = 3.14 × 16² = 803.84 cm². Circumference = 2πr = 2 × 3.14 × 16 = 100.48 cm.
area 803.84 cm^2, circumference 100.48 cm
geometry
hard
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Add the fractions 5/8 + 8/6. Give the answer in simplest form.
Common denominator is 24. 5/8 = 15/24, 8/6 = 32/24. Sum = 47/24 = 47/24.
47/24
fractions
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Amit buys 9 boxes at 30 rupees each. How much does Amit pay in total?
Total = 9 × 30 = 270 rupees.
270
word-problem
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
A value of 130 is decreased by 10%. What is the new value?
Change = 10% of 130 = 13. New value = 130 - 13 = 117.
117
percentage
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Convert 41 kg to g.
1 kg = 1000 g, so 41 kg = 41 × 1000 = 41000 g.
41000 g
units
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Simplify the fraction 15/10.
gcd(15, 10) = 5. Dividing gives 3/2.
3/2
fractions
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Divide 18 in the ratio 2:4.
Total parts = 2 + 4 = 6. Each part = 18/6 = 3. Shares = 6 and 12.
6 and 12
ratio
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
A rectangle is 26 cm long and 5 cm wide. Find its area and perimeter.
Area = length × width = 26 × 5 = 130 cm². Perimeter = 2 × (26 + 5) = 62 cm.
area 130 cm^2, perimeter 62 cm
geometry
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Calculate 887 - 812.
887 - 812 = 75.
75
arithmetic
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
A circle has radius 3 cm. Find its area and circumference (use π = 3.14).
Area = πr² = 3.14 × 3² = 28.26 cm². Circumference = 2πr = 2 × 3.14 × 3 = 18.84 cm.
area 28.26 cm^2, circumference 18.84 cm
geometry
hard
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Simplify the fraction 18/48.
gcd(18, 48) = 6. Dividing gives 3/8.
3/8
fractions
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
A value of 160 is increased by 10%. What is the new value?
Change = 10% of 160 = 16. New value = 160 + 16 = 176.
176
percentage
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Calculate 607 - 427.
607 - 427 = 180.
180
arithmetic
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
A car travels at 58 km/h for 3 hours. How far does it go?
Distance = speed × time = 58 × 3 = 174 km.
174 km
word-problem
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
What is the next number in the sequence: 4, 8, 16, 32, ... ?
The pattern is geometric (multiplying by 2), so the next term is 64.
64
sequences
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
A circle has radius 19 cm. Find its area and circumference (use π = 3.14).
Area = πr² = 3.14 × 19² = 1133.54 cm². Circumference = 2πr = 2 × 3.14 × 19 = 119.32 cm.
area 1133.54 cm^2, circumference 119.32 cm
geometry
hard
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Calculate 90 * 71.
90 * 71 = 6390.
6390
arithmetic
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Evaluate 15 + 17 × 4 using the order of operations.
Multiply first: 17 × 4 = 68. Then add: 15 + 68 = 83.
83
order-of-operations
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Solve for x: 2x + 8 = 20.
Subtract +8 from both sides: 2x = 12. Divide by 2: x = 6.
6
algebra
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
A rectangle is 14 cm long and 36 cm wide. Find its area and perimeter.
Area = length × width = 14 × 36 = 504 cm². Perimeter = 2 × (14 + 36) = 100 cm.
area 504 cm^2, perimeter 100 cm
geometry
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
A value of 450 is increased by 25%. What is the new value?
Change = 25% of 450 = 112.5. New value = 450 + 112.5 = 562.5.
562.5
percentage
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Divide 54 in the ratio 4:5.
Total parts = 4 + 5 = 9. Each part = 54/9 = 6. Shares = 24 and 30.
24 and 30
ratio
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Find the average (mean) of these numbers: 17, 74, 50.
Sum = 141, count = 3. Mean = 141/3 = 47.
47
statistics
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
What is the next number in the sequence: 12, 20, 28, 36, ... ?
The pattern is arithmetic (adding 8), so the next term is 44.
44
sequences
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Calculate 49 * 52.
49 * 52 = 2548.
2548
arithmetic
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Calculate 58 + 889.
58 + 889 = 947.
947
arithmetic
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Calculate 559 - 354.
559 - 354 = 205.
205
arithmetic
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
A value of 280 is increased by 50%. What is the new value?
Change = 50% of 280 = 140. New value = 280 + 140 = 420.
420
percentage
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Find the average (mean) of these numbers: 61, 95, 24, 85, 4.
Sum = 269, count = 5. Mean = 269/5 = 53.8.
53.8
statistics
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Convert 24 kg to g.
1 kg = 1000 g, so 24 kg = 24 × 1000 = 24000 g.
24000 g
units
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Find the GCD and LCM of 9 and 17.
GCD(9, 17) = 1. LCM = (9 × 17) / GCD = 153/1 = 153.
GCD 1, LCM 153
number-theory
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Evaluate 16 + 16 × 11 using the order of operations.
Multiply first: 16 × 11 = 176. Then add: 16 + 176 = 192.
192
order-of-operations
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
A car travels at 54 km/h for 4 hours. How far does it go?
Distance = speed × time = 54 × 4 = 216 km.
216 km
word-problem
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Solve for x: 5x + 15 = 15.
Subtract +15 from both sides: 5x = 0. Divide by 5: x = 0.
0
algebra
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Convert 35 kg to g.
1 kg = 1000 g, so 35 kg = 35 × 1000 = 35000 g.
35000 g
units
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Evaluate 12 raised to the power 4 (12^4).
12^4 = 12 × 12 × 12 × 12 = 20736.
20736
exponents
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
A rectangle is 39 cm long and 16 cm wide. Find its area and perimeter.
Area = length × width = 39 × 16 = 624 cm². Perimeter = 2 × (39 + 16) = 110 cm.
area 624 cm^2, perimeter 110 cm
geometry
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Omar buys 9 candies at 20 rupees each. How much does Omar pay in total?
Total = 9 × 20 = 180 rupees.
180
word-problem
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Add the fractions 3/8 + 2/8. Give the answer in simplest form.
Common denominator is 8. 3/8 = 3/8, 2/8 = 2/8. Sum = 5/8 = 5/8.
5/8
fractions
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)