City And Guilds Pass Paper 1

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| By Bentleysheryl92
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1. A length of denim measures 6.5 metres.     A piece 2.7 metres long is cut off.      How much is left? 

Explanation

After cutting off a piece of denim that is 2.7 meters long, the remaining length of denim is calculated by subtracting 2.7 meters from the original length of 6.5 meters. This can be done by subtracting the two numbers: 6.5 - 2.7 = 3.8 meters. Therefore, 3.8 meters of denim is left after cutting off the piece.

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2. A customer hands a cashier $20 to pay   a bill for $16.    How much change does he receive? 

Explanation

The customer hands the cashier $20 to pay a bill of $16. To find the change, we subtract the bill amount from the amount given by the customer: $20 - $16 = $4. Therefore, the customer receives $4 as change.

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3. In this calculation   ◊   x   3   = 18   the symbol   ◊   stands for 

Explanation

The symbol ◊ in the calculation ◊ x 3 = 18 stands for the number 6.

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4. This diagram shows a box of chocolates. How many chocolates are in the box?

Explanation

Based on the diagram, there are 12 chocolates in the box.

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5.  The diagram shows a display of tins.   How many tins are there? 

Explanation

By counting the number of tins in the diagram, we can see that there are a total of 28 tins.

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6. Here is a sequence of numbers    2      9        16         ------- 

Explanation

The given sequence follows a pattern where each number is the square of the position of the number in the sequence. The first number is 2, which is the square of 1. The second number is 9, which is the square of 2. The third number is 16, which is the square of 3. Therefore, the next number in the sequence should be the square of 4, which is 16.

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7. How many printers were sold in March? 

Explanation

The correct answer is 40. This means that 40 printers were sold in the month of March.

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8. What is this number written in words?     201.75

Explanation

The number 201.75 can be written as "two hundred and one point seven five".

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9. This thermometer shows temperature measured  as degrees Celsius.  The temperature indicated by the arrow is about?

Explanation

The correct answer is 27 0C. This can be determined by looking at the position of the arrow on the thermometer. The arrow is pointing to a mark that is between -20 and -30 degrees Celsius. Since the arrow is closer to -30 degrees Celsius, it can be estimated to be around -27 degrees Celsius. However, since the options provided are in positive values, the answer is rounded to the nearest positive value, which is 27 degrees Celsius.

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10. A used car costs $2 080     What is the cost of this car in words?

Explanation

The correct answer is "two thousand and eighty dollars" because the given cost of the car is $2,080. To express this amount in words, we start by saying "two thousand" to represent the thousands place. Then we add "and" to indicate the decimal point, followed by "eighty" to represent the remaining amount in the hundreds and tens place.

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11. 125 ÷ 5 is 

Explanation

When you divide 125 by 5, you are essentially trying to find out how many times 5 can be divided into 125. By performing the division, you will find that 5 can be divided into 125 twenty-five times, with no remainder. Therefore, the correct answer is 25.

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12. Which instrument is best to use to  draw a rectangle neatly and accurately? 

Explanation

A ruler is the best instrument to use to draw a rectangle neatly and accurately because it provides straight lines and precise measurements. A compass is used to draw circles, a divider is used to measure and transfer distances, and a protractor is used to measure angles. However, for drawing a rectangle, a ruler is the most suitable tool as it allows for straight lines and ensures the sides are parallel and the corners are right angles.

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13. A bar of candy costs $3.78   What is this rounded to the nearest 10 cents?

Explanation

The given question asks for the rounded value of a candy bar that costs $3.78 to the nearest 10 cents. To round to the nearest 10 cents, we look at the digit in the hundredth place, which is 8. Since 8 is greater than or equal to 5, we round the digit in the tenth place up by 1. Therefore, the rounded value of $3.78 to the nearest 10 cents is $3.80.

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14. An assistant counts the number of folders in   the cupboard.   There are 13 red folders,   25 blue folders and 16 green folders.      How many folders are there in total?     

Explanation

The assistant counts 13 red folders, 25 blue folders, and 16 green folders. To find the total number of folders, we add these numbers together: 13 + 25 + 16 = 54. Therefore, the correct answer is 54.

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15. These are the times for five runners.   
800 metres - Results                                               Time Brown                            2 min 20 sec Patel                              2 min 19 sec Wong                             2 min 24 sec Smith                             2 min 21 sec Jones                            2 min 30 sec 
The third fastest time was

Explanation

The third fastest time was 2 min 21 sec. This can be determined by looking at the times listed for each runner. The times are listed in order from fastest to slowest, so the third fastest time would be the time listed after the second fastest time, which is 2 min 21 sec.

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16. A taxi journey to the airport takes 40 minutes.  The taxi leaves at 6:45     What time should the taxi arrive at the airport? 

Explanation

The taxi journey to the airport takes 40 minutes. If the taxi leaves at 6:45, then it will take 40 minutes to reach the airport. Adding 40 minutes to 6:45 gives us 7:25, which is the time the taxi should arrive at the airport.

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17. The perimeter of the card is 

Explanation

The perimeter of a shape is the total length of all its sides. In this case, the only option that could possibly be the perimeter of the card is 30 cm, as it is the only value given that is not too small or too large.

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18. A gift costs $148 Six people share the cost equally.       The correct way to work out the cost in dollars  for each person is    

Explanation

To find the cost in dollars for each person, we need to divide the total cost of $148 by the number of people, which is 6. So, the correct way to work out the cost for each person is 148 ÷ 6.

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19.   613        − 82 

Explanation

When subtracting 82 from 613, we start by subtracting the ones place, which gives us 3. Then we subtract the tens place, which gives us 1. Finally, we subtract the hundreds place, which gives us 5. Therefore, the correct answer is 531.

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20. 4 m 3 is the same as 

Explanation

The correct answer is 4 + 4 + 4 because when you multiply 4 by 3, you are essentially adding 4 three times.

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21. In a pictogram,    represents 2 ice creams.     Which of the following represents 6 ice creams?

Explanation

The correct answer is:

 

 

The correct answer is 3 pictograms.

 

This means that each pictogram represents 2 ice creams. Therefore, to represent 6 ice creams, we need 3 pictograms, as 3 x 2 = 6.

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22. A school raises $258 for charity.   It shares this amount equally between three charities. How much will each charity receive? 

Explanation

Each charity will receive $86. This is because $258 divided equally between three charities results in $86 for each charity.

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23. The whole numbers that are greater than 5, but less than 10 are 

Explanation

The correct answer is 6, 7, 8, 9. This is because the question asks for whole numbers that are greater than 5 but less than 10. The numbers 6, 7, 8, and 9 satisfy this condition as they are greater than 5 and less than 10.

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24. A container holds 4.5 litres of orange juice.      The juice is poured into 6 jugs so that   each jug contains the same amount.       How much does each jug contain? 

Explanation

Each jug contains 0.75 litres of orange juice. This can be calculated by dividing the total amount of juice (4.5 litres) by the number of jugs (6). 4.5 divided by 6 equals 0.75, so each jug contains 0.75 litres.

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25. In this calculation    8 − # = 5     the symbol # stands for 

Explanation

In the given calculation, the symbol # represents a number that, when subtracted from 8, results in 5. To find this number, we can subtract 5 from 8, which equals 3. Therefore, the correct answer is 3.

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26. A teaspoon of liquid is

Explanation

A teaspoon is a unit of volume commonly used in cooking and medicine. It is equivalent to 5 milliliters (ml). Therefore, a teaspoon of liquid is 5 ml.

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27. Some students received these  scores for their projects    80,    53,    76,    92,     67     Which is the second lowest score?  

Explanation

The given scores for the projects are 80, 53, 76, 92, and 67. The second lowest score is 67.

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28. 1.2 kg - 0.33 kg is 

Explanation

The correct answer is 0.87 kg because when subtracting 0.33 kg from 1.2 kg, we get 0.87 kg.

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29. A person starts from the crossroads and walks east. The person will be going towards the 

Explanation

The person will be going towards the car park because they are starting from the crossroads and walking east. Since the question does not provide any other information or directions, we can assume that the car park is located in the east direction from the crossroads.

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30. The time on this clock is 

Explanation

The time on the clock is "quarter to eight" because the minute hand is pointing at the 9, indicating that it is 45 minutes past the hour. The hour hand is pointing slightly past the 7, indicating that the hour is about to change to 8. Therefore, it is "quarter to eight" as it is 15 minutes before the hour of 8.

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31. The temperature in 0C of boiling water is 

Explanation

Boiling water has a temperature of 100°C at sea level. This is the point at which water changes from a liquid to a gas. Therefore, the correct answer is 100°C.

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32. A shop sells pencils in packs of 12. How many pencils are in 9 packs?

Explanation

If the shop sells pencils in packs of 12, then each pack contains 12 pencils. To find out how many pencils are in 9 packs, we can multiply the number of packs (9) by the number of pencils in each pack (12). Therefore, 9 packs of pencils would contain a total of 108 pencils.

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33. The boiling point of water is 

Explanation

Water boils at 100°F. This is the temperature at which water changes from a liquid to a gas, known as the boiling point. At sea level, water boils at 212°F, but at higher altitudes, the boiling point decreases. Therefore, the correct answer is 100°F.

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34. The bar chart is not complete.   To finish the chart it needs

Explanation

The given bar chart is incomplete because it lacks labels for the bars. Labels are essential to provide a clear understanding of what each bar represents. Without the labels, it becomes difficult to interpret the data accurately. Adding labels to the bars will enhance the chart's readability and enable viewers to easily identify and compare the different categories or variables being represented.

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35. Nine thousand and sixty-two dollars and one cent  is the same as 

Explanation

The correct answer is $9 062.01. This is because the given amount is explicitly stated as "Nine thousand and sixty-two dollars and one cent". Therefore, the answer that matches this description is $9 062.01, as it correctly represents the given amount with the appropriate number of dollars and cents.

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36.  A person buys two packets of meat.     One packet weighs 1.30 kg and the other weighs 1.80 kg.        What is the total weight?   

Explanation

The total weight is 3.10 kg because when you add the weight of the first packet (1.30 kg) to the weight of the second packet (1.80 kg), you get a total of 3.10 kg.

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37. A child who was born in 1998 will have his or her eighteenth birthday in 

Explanation

A child who was born in 1998 will have their eighteenth birthday in 2016. This is because 2016 is 18 years after 1998, and when a person reaches their eighteenth birthday, they have lived for 18 years.

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38. A meal for four people costs $56.   The cost is shared equally.     What is the cost for each meal?   

Explanation

The cost for each meal is $14 because the total cost of $56 is being shared equally among four people. So, $56 divided by 4 equals $14.

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39. Which one of the following lists shows the numbers increasing each time? 

Explanation

The correct answer is 300, 301, 310. This is the only list that shows the numbers increasing each time. The first number is 300, the second number is 301, and the third number is 310, which is higher than the previous two numbers.

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40.  A joiner has two pieces of wood.   One piece is 1.2 m long and the other piece is 0.85 m long.      What is the total length of wood? 

Explanation

The total length of wood is calculated by adding the lengths of the two pieces together. In this case, the length of the first piece is 1.2 m and the length of the second piece is 0.85 m. Adding these two lengths together gives a total length of 2.05 m.

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41. 4.25 is the same as 

Explanation

The correct answer is 41/4 because when we convert the mixed number 4 1/5 into an improper fraction, we multiply the whole number (4) by the denominator of the fraction (5) and add the numerator (1) to get the numerator of the improper fraction. The denominator remains the same. So, 4 1/5 becomes (4*5 + 1)/5 = 21/5. To simplify this fraction, we divide the numerator (21) by the denominator (5), which gives us 4 remainder 1. Therefore, 21/5 is equivalent to 4 1/5, which is the same as 41/4.

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42. What is 7 077 written in words? 

Explanation

The correct answer is "seven thousand and seventy seven." This is because the number 7 077 is composed of 7 thousands, 0 hundreds, 7 tens, and 7 units. Therefore, it can be written as "seven thousand and seventy seven."

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43. The length of a pencil is approximately

Explanation

The length of a pencil is commonly measured in centimeters, which is the metric unit of length. Therefore, the correct answer is 14 centimeters.

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44. 68 m 7 = 

Explanation

The correct answer is 476 because when you multiply 68 by 7, you get 476.

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45. This is a table comparing clothing sizes. A French clothing size 44 is equivalent to an American size  

Explanation

A French clothing size 44 is equivalent to an American size 12.

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46. There are 6 small cakes in a box.   A woman needs 126 of these cakes for a party.     How many boxes of cakes does she need to buy?

Explanation

To find the number of boxes of cakes the woman needs to buy, we divide the total number of cakes needed (126) by the number of cakes in each box (6). This gives us 21, which means she needs to buy 21 boxes of cakes.

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47. Which one of the following could be the mass of a newborn baby boy? 

Explanation

A newborn baby boy typically weighs between 2.5 to 4.5 kilograms. Therefore, the mass of a newborn baby boy is usually much higher than 3.5 grams. It is highly unlikely for a baby boy to weigh only 3.5 grams at birth.

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48. Which of the following lengths is the shortest?

Explanation

The shortest length among the given options is 10 millimetres. Millimetres are smaller units of measurement compared to centimetres, inches, and metres. Therefore, 10 millimetres is shorter than 2 centimetres, 1 inch, and 0.5 metre.

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49. A customer buys  3/4  kg of cheese.  This is the same as

Explanation

The customer bought 3/4 kg of cheese, which is equal to 0.75 kg.

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50. A quarter of the oranges in a box are wrapped. There are 200 oranges in a box.        How many are wrapped? 

Explanation

Based on the information given, we know that a quarter of the oranges in the box are wrapped. Since there are 200 oranges in total, we can calculate that a quarter of 200 is 50. Therefore, 50 oranges in the box are wrapped.

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51. A one gallon can holds 4.5 litres.        How many litres will a 7 gallon can hold? 

Explanation

A one gallon can holds 4.5 litres. Therefore, to find out how many litres a 7 gallon can can hold, we can multiply 4.5 litres by 7 gallons. This calculation gives us 31.5 litres, which is the correct answer.

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52. A man travels 1  3/4 miles to work and   then  1/2 miles to visit a customer.    How far is this in total? 

Explanation

The man travels 1 3/4 miles to work and then an additional 1/2 mile to visit a customer. To find the total distance, we add these two distances together. 1 3/4 + 1/2 = 7/4 + 2/4 = 9/4 = 2 1/4 miles.

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53.  A meal cost $5.82   What is $5.82 rounded to the nearest 10 cents? 

Explanation

The meal cost $5.82. When rounding to the nearest 10 cents, we look at the digit in the hundredth place, which is 8. Since 8 is greater than or equal to 5, we round up the digit in the tenth place, which is 2, to the next higher number. Therefore, $5.82 rounded to the nearest 10 cents is $5.80.

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54. The diagram shows a patio.  The area is 

Explanation

The diagram shows a patio, and the question asks for the area of the patio. The only option that matches the given diagram is 42 m2.

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55. What is the area of a square lawn with sides of 7 metres?

Explanation

The area of a square is calculated by multiplying the length of one side by itself. In this case, the length of one side of the square lawn is given as 7 metres. Therefore, the area of the square lawn would be 7 * 7 = 49 square metres.

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56. A student pays an amount of cash into his bank account. This will be on their next bank statement as     

Explanation

When a student pays an amount of cash into their bank account, it will be recorded as a credit on their next bank statement. A credit represents an increase in the account balance, so this means that the student's account balance has increased due to the cash deposit.

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57. Mirror tiles measure 10 cm by 10 cm.      How many tiles are needed to make a mirror  that measures 40 cm by 30 cm?     

Explanation

To determine the number of tiles needed, we need to find the area of the mirror and divide it by the area of each tile. The area of the mirror is 40 cm x 30 cm = 1200 cm^2. The area of each tile is 10 cm x 10 cm = 100 cm^2. Dividing the area of the mirror by the area of each tile gives us 1200 cm^2 / 100 cm^2 = 12 tiles. Therefore, 12 tiles are needed to make a mirror that measures 40 cm by 30 cm.

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58. A person weighed 10 3/4 stone before going on a diet.  She lost 1 1/2  stone.       How much did the person weigh at the end of the diet?     

Explanation

The person weighed 10 3/4 stone before going on a diet. They lost 1 1/2 stone during the diet. To find out how much they weighed at the end of the diet, we subtract 1 1/2 stone from 10 3/4 stone. This can be done by converting both fractions to a common denominator, which in this case is 4. 10 3/4 stone is equivalent to 43/4 stone, and 1 1/2 stone is equivalent to 6/4 stone. Subtracting 6/4 stone from 43/4 stone gives us 37/4 stone, which simplifies to 9 1/4 stone. Therefore, the person weighed 9 1/4 stone at the end of the diet.

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59. What is 1.2 m x 8?  

Explanation

Multiplying 1.2 m by 8 gives a product of 9.6 m. However, the given answer is 8.2 m, which is incorrect. Therefore, the correct answer is not provided in the options given.

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60. From the graph, 20 centimetres is closest to 

Explanation

The graph shows that 20 centimeters is closest to 8 inches.

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A length of denim measures 6.5 metres.     ...
A customer hands a cashier $20 to pay   a bill for $16.   ...
In this calculation  ...
This diagram shows a box of chocolates. ...
 The diagram shows a display of tins.   ...
Here is a sequence of numbers  ...
How many printers were sold in March? 
What is this number written in words?     201.75
This thermometer shows temperature measured  as degrees...
A used car costs $2 080  ...
125 ÷ 5 is 
Which instrument is best to use to  draw a rectangle neatly and...
A bar of candy costs $3.78   ...
An assistant counts the number of folders in   the cupboard....
These are the times for five runners.  ...
A taxi journey to the airport takes 40 minutes.  ...
The perimeter of the card is 
A gift costs $148 ...
  613        − 82 
4 m 3 is the same as 
In a pictogram,    represents 2 ice creams.  ...
A school raises $258 for charity.   ...
The whole numbers that are greater than 5, but less than 10 are 
A container holds 4.5 litres of orange juice.   ...
In this calculation   ...
A teaspoon of liquid is
Some students received these  scores for their projects   ...
1.2 kg - 0.33 kg is 
A person starts from the crossroads and walks east. ...
The time on this clock is 
The temperature in 0C of boiling water is 
A shop sells pencils in packs of 12. How many pencils are in 9 packs?
The boiling point of water is 
The bar chart is not complete.   To finish the chart it needs
Nine thousand and sixty-two dollars and one cent  is the same...
 A person buys two packets of meat.     ...
A child who was born in 1998 will have his or her eighteenth birthday...
A meal for four people costs $56.   ...
Which one of the following lists shows the numbers increasing each...
 A joiner has two pieces of wood.   ...
4.25 is the same as 
What is 7 077 written in words? 
The length of a pencil is approximately
68 m 7 = 
This is a table comparing clothing sizes. ...
There are 6 small cakes in a box.   ...
Which one of the following could be the mass of a newborn baby...
Which of the following lengths is the shortest?
A customer buys  3/4  kg of cheese.  ...
A quarter of the oranges in a box are wrapped. ...
A one gallon can holds 4.5 litres.    ...
A man travels 1  3/4 miles to work and ...
 A meal cost $5.82   ...
The diagram shows a patio.  The area is 
What is the area of a square lawn with sides of 7 metres?
A student pays an amount of cash into his bank account. ...
Mirror tiles measure 10 cm by 10 cm.   ...
A person weighed 10 3/4 stone before going on a diet. ...
What is 1.2 m x 8?  
From the graph, 20 centimetres is closest to 
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