Math Revision Worksheet Units 4 & 8

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Questions and Answers

The difference between 2 numbers is 8. One number is -4. What could the other numbers be?

4

Sandra is thinking of a number. She subtracts 3 212 from it. She then adds 5 601 to it. Her final answer is 10 974. What number did she start with?

8 585

Sandra travels to Cairo and Copenhagen. She returns home after each trip. The distance to Cairo is 23 567 km. The distance to Copenhagen is 103 452 km. How many km does she travel altogether?

254 038

The thermometer showed -4°C in the morning. The temperature increased by 5°C, then again increased by 5°C and then decreased by 1°C. What temperature is the thermometer showing now?

<p>5</p> Signup and view all the answers

Samad has 6 less books than Ali. Complete the table below where x represents the books Ali has and y represents the number of books Samad has. Write a number sentence linking x, y and 6.

<p>y = x - 6</p> Signup and view all the answers

What is the difference in temperature between Islamabad and Dubai?

<p>18</p> Signup and view all the answers

What is the difference in temperature between Istanbul and Zurich?

<p>13</p> Signup and view all the answers

What is the difference in temperature between the warmest and the coldest city?

<p>46</p> Signup and view all the answers

The following diagram shows two boxes next to each other. If their total length is 20 m, and b is 8 m longer than a, what is the value of a and b. SHOW ALL YOUR WORKING

<p>a = 6m, b = 14m</p> Signup and view all the answers

What is the total of 4.79 and 5.306?

<p>10.096</p> Signup and view all the answers

What is the difference between 4.79 and 5.306?

<p>0.516</p> Signup and view all the answers

Mary had $305.80 in her bank account. She deposited $250.25 more and then withdrew $317.50 from her account. What is the balance now in her account?

<p>238.55</p> Signup and view all the answers

Tania bought a book for $152.75, a pen for $45.25 and a chocolate for $28.75. What amount did she spend?

<p>226.75</p> Signup and view all the answers

She paid with a $500 bill. How much change did she get?

<p>273.25</p> Signup and view all the answers

Calculate (simplify and change answers to mixed numbers where possible) 5/16 + 3/4

<p>17/16 or 1 1/16</p> Signup and view all the answers

Calculate (simplify and change answers to mixed numbers where possible) 3/4 - 2/3

<p>1/12</p> Signup and view all the answers

Calculate (simplify and change answers to mixed numbers where possible) 1 + 7/15

<p>22/15 or 1 7/15</p> Signup and view all the answers

Heidi drives for 2/9 hours on Monday and Tuesday. She then drives 7/12 hours on Wednesday. How long did she spend driving?

<p>41/36</p> Signup and view all the answers

Sana bought plant seeds. 3/4 of them were sunflower seeds, 2/9 of them were tulip seeds, the rest were pumpkin seeds. What fraction of her seeds were pumpkin seeds?

<p>5/36</p> Signup and view all the answers

Sam eats 3/5 of a chocolate bar and Tom eats 1/12 of the chocolate bar. What fraction of the chocolate bar is left?

<p>11/60</p> Signup and view all the answers

Find the missing fraction. 3/4 + ? = 3/12

<p>-3/12</p> Signup and view all the answers

Find the missing fraction. ? + 2/5 = 1/2

<p>1/10</p> Signup and view all the answers

Flashcards

Difference between two numbers (example)

The result of subtracting one number from another.

Missing number (addition)

A number that needs to be added another to reach a specific number.

Temperature increase/decrease

The change in temperature over time, adding or subtracting.

Total Distance (example)

The sum of individual distances.

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Difference in temperature

The difference in the readings of a thermometer in two locations.

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Temperature Equation

Finding the values representing a linear relationship from a chart with columns for X and Y values.

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Total of two decimals

The sum of two decimal numbers.

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Difference between two decimals

The result of subtracting one decimal number from another.

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Bank Account Balance

The amount of money currently in a bank account after transactions.

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Total spent

The sum of all purchases.

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Change (in money)

The amount of money returned after a purchase from a given bill

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Adding Fractions (same denominator)

Add the numerators for the fraction result.

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Subtracting Fractions (same denominator)

Subtract the numerators for the fraction result.

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Mixed Numbers to Improper Fraction

Convert a mixed number to an improper fraction.

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Improper Fraction to Mixed Number

Convert an improper fraction to a mixed number.

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Total driving time

The sum of driving times for multiple days.

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Fraction of seeds (specific type)

The portion of a set of seeds that is of a specific type.

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Fraction of chocolate bar left

The portion remaining after some parts are taken away from the whole.

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Adding fractions (Different denominator)

Adding fractions with a different denominator (find the LCD first).

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Missing fraction (addition)

Finding the value for an unknown fraction part.

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Finding LCD

Finding the least common divisor required for fractions addition and subtraction.

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Study Notes

Unit 4 & 8 Revision Worksheet

  • Question 1: The difference between two numbers is 8. One number is -4. Find possible values for the other number.
  • Question 2: Sandra performs calculations on a number. She subtracts 3212, adds 5601, and gets a final answer of 10974. What was her original number?
  • Question 3: Sandra travels to Cairo (23567 km) and Copenhagen (103452 km). Find the total distance travelled.
  • Question 4: A thermometer shows -4°C. It increases by 5°C, again by 5°C, and then decreases by 1°C. What is the final temperature?
  • Question 5: A table shows the relationship between the number of books Ali (x) and Samad (y) has. Samad has 6 fewer books than Ali. Complete the table and write a number sentence relating x, y, and 6.

Temperatures of Cities

  • Question 6a: The temperature in Islamabad is 23°C and Dubai is 41°C. Find the difference.
  • Question 6b: Istanbul's temperature is 12°C and Zurich's is -1°C. Find the difference.
  • Question 6c: Find the difference between the warmest (Dubai) and coldest (Zurich) city's temperatures.

Box Lengths

  • Question 7: Two boxes have a total length of 20 meters. Box b is 8 meters longer than box a. Find the lengths of both boxes (a and b).

Unit 8 Calculations

  • Question 1a: Find the sum of 4.79 and 5.306.
  • Question 1b: Find the difference between 4.79 and 5.306.
  • Question 2: Mary begins with 305.80.Shedeposits305.80. She deposits 305.80.Shedeposits250.25 and then withdraws $317.50. What's her final balance?
  • Question 3a: Tania spends 152.75onabook,152.75 on a book, 152.75onabook,45.25 on a pen, and $28.75 on chocolate. Calculate the total amount spent.
  • Question 3b: If Tania pays with a $500 bill, what is her change?
  • Question 4a: Calculate 5/16 + 3/4.
  • Question 4b: Calculate 4 3/4 - 2 1/2.
  • Question 4c: Calculate 4/9 - 3/9.
  • Question 4d: Calculate 1/3 + 2/15.
  • Question 4e: Calculate 1 - 5/12.
  • Question 5: Heidi drives for amounts of time on Monday, Tuesday, Wednesday. Find the total driving time.
  • Question 6: Sana buys plant seeds. 4/9 are sunflower seeds, 3/9 are tulip seeds. Find what fraction of the seeds are pumpkin seeds.
  • Question 7: Sam eats 3/5 of a chocolate bar and Tom eats 5/12. What fraction of the chocolate bar is left?
  • Question 8a: Calculate the sum of 3/4 and 3/12.
  • Question 8b: Calculate 2 1/5 - 1/2.

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