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Scientific worksheet

Grades 9–11

Solve each problem and show your work. Round answers to 2 decimal places where needed.

1.
Problem 1.
- Expression: 1 × sin(32) + 4^6
- Angle unit: Radians
Find: Result
Answer
2.
Problem 2.
- Expression: 15 × sin(44) + 2^6
- Angle unit: Degrees
Find: Result
Answer
3.
Problem 3.
- Expression: 12 × sin(9) + 2^2
- Angle unit: Degrees
Find: Result
Answer
4.
Problem 4.
- Expression: 12 × sin(5) + 2^5
- Angle unit: Degrees
Find: Result
Answer
5.
Problem 5.
- Expression: 5 × sin(3) + 2^4
- Angle unit: Degrees
Find: Result
Answer
6.
Problem 6.
- Expression: 8 × sin(13) + 3^4
- Angle unit: Radians
Find: Result
Answer
7.
Problem 7.
- Expression: 5 × sin(44) + 2^5
- Angle unit: Radians
Find: Result
Answer
8.
Problem 8.
- Expression: 6 × sin(46) + 1^2
- Angle unit: Radians
Find: Result
Answer
9.
Problem 9.
- Expression: 6 × sin(10) + 3^4
- Angle unit: Degrees
Find: Result
Answer
10.
Problem 10.
- Expression: 7 × sin(3) + 3^6
- Angle unit: Degrees
Find: Result
Answer

Answer key: Scientific worksheet

1. Result: 4,096.55
1. Read the expression using the order of operations: brackets, powers, × and ÷, then + and −
  $1 × sin(32) + 4^6$
2. Take the sine of 32 rad (radian mode)
  $sin 32 rad$ $= 0.5514266812$
3. Multiply the two numbers
  $1 \times 0.5514266812$ $= 0.5514266812$
4. Raise to a power
  $4^{6}$ $= 4,096$
5. Add the two numbers
  $0.5514266812 + 4,096$ $= 4,096.5514266812$
6. Final result
  $1 × sin(32) + 4^6$ $= 4,096.5514266812$
2. Result: 74.42
1. Read the expression using the order of operations: brackets, powers, × and ÷, then + and −
  $15 × sin(44) + 2^6$
2. Take the sine of 44° (degree mode)
  $sin 44 °$ $= 0.6946583705$
3. Multiply the two numbers
  $15 \times 0.6946583705$ $= 10.4198755569$
4. Raise to a power
  $2^{6}$ $= 64$
5. Add the two numbers
  $10.4198755569 + 64$ $= 74.4198755569$
6. Final result
  $15 × sin(44) + 2^6$ $= 74.4198755569$
3. Result: 5.88
1. Read the expression using the order of operations: brackets, powers, × and ÷, then + and −
  $12 × sin(9) + 2^2$
2. Take the sine of 9° (degree mode)
  $sin 9 °$ $= 0.156434465$
3. Multiply the two numbers
  $12 \times 0.156434465$ $= 1.8772135805$
4. Raise to a power
  $2^{2}$ $= 4$
5. Add the two numbers
  $1.8772135805 + 4$ $= 5.8772135805$
6. Final result
  $12 × sin(9) + 2^2$ $= 5.8772135805$
4. Result: 33.05
1. Read the expression using the order of operations: brackets, powers, × and ÷, then + and −
  $12 × sin(5) + 2^5$
2. Take the sine of 5° (degree mode)
  $sin 5 °$ $= 0.0871557427$
3. Multiply the two numbers
  $12 \times 0.0871557427$ $= 1.045868913$
4. Raise to a power
  $2^{5}$ $= 32$
5. Add the two numbers
  $1.045868913 + 32$ $= 33.045868913$
6. Final result
  $12 × sin(5) + 2^5$ $= 33.045868913$
5. Result: 16.26
1. Read the expression using the order of operations: brackets, powers, × and ÷, then + and −
  $5 × sin(3) + 2^4$
2. Take the sine of 3° (degree mode)
  $sin 3 °$ $= 0.0523359562$
3. Multiply the two numbers
  $5 \times 0.0523359562$ $= 0.2616797812$
4. Raise to a power
  $2^{4}$ $= 16$
5. Add the two numbers
  $0.2616797812 + 16$ $= 16.2616797812$
6. Final result
  $5 × sin(3) + 2^4$ $= 16.2616797812$
6. Result: 84.36
1. Read the expression using the order of operations: brackets, powers, × and ÷, then + and −
  $8 × sin(13) + 3^4$
2. Take the sine of 13 rad (radian mode)
  $sin 13 rad$ $= 0.4201670368$
3. Multiply the two numbers
  $8 \times 0.4201670368$ $= 3.3613362946$
4. Raise to a power
  $3^{4}$ $= 81$
5. Add the two numbers
  $3.3613362946 + 81$ $= 84.3613362946$
6. Final result
  $8 × sin(13) + 3^4$ $= 84.3613362946$
7. Result: 32.09
1. Read the expression using the order of operations: brackets, powers, × and ÷, then + and −
  $5 × sin(44) + 2^5$
2. Take the sine of 44 rad (radian mode)
  $sin 44 rad$ $= 0.0177019251$
3. Multiply the two numbers
  $5 \times 0.0177019251$ $= 0.0885096255$
4. Raise to a power
  $2^{5}$ $= 32$
5. Add the two numbers
  $0.0885096255 + 32$ $= 32.0885096255$
6. Final result
  $5 × sin(44) + 2^5$ $= 32.0885096255$
8. Result: 6.41
1. Read the expression using the order of operations: brackets, powers, × and ÷, then + and −
  $6 × sin(46) + 1^2$
2. Take the sine of 46 rad (radian mode)
  $sin 46 rad$ $= 0.9017883476$
3. Multiply the two numbers
  $6 \times 0.9017883476$ $= 5.4107300859$
4. Raise to a power
  $1^{2}$ $= 1$
5. Add the two numbers
  $5.4107300859 + 1$ $= 6.4107300859$
6. Final result
  $6 × sin(46) + 1^2$ $= 6.4107300859$
9. Result: 82.04
1. Read the expression using the order of operations: brackets, powers, × and ÷, then + and −
  $6 × sin(10) + 3^4$
2. Take the sine of 10° (degree mode)
  $sin 10 °$ $= 0.1736481777$
3. Multiply the two numbers
  $6 \times 0.1736481777$ $= 1.041889066$
4. Raise to a power
  $3^{4}$ $= 81$
5. Add the two numbers
  $1.041889066 + 81$ $= 82.041889066$
6. Final result
  $6 × sin(10) + 3^4$ $= 82.041889066$
10. Result: 729.37
1. Read the expression using the order of operations: brackets, powers, × and ÷, then + and −
  $7 × sin(3) + 3^6$
2. Take the sine of 3° (degree mode)
  $sin 3 °$ $= 0.0523359562$
3. Multiply the two numbers
  $7 \times 0.0523359562$ $= 0.3663516937$
4. Raise to a power
  $3^{6}$ $= 729$
5. Add the two numbers
  $0.3663516937 + 729$ $= 729.3663516937$
6. Final result
  $7 × sin(3) + 3^6$ $= 729.3663516937$