2014 - Assumption College Primary Section 3/G4.Maths.pdf · 2014 . Perpendicular ... Worksheet #5:...
Transcript of 2014 - Assumption College Primary Section 3/G4.Maths.pdf · 2014 . Perpendicular ... Worksheet #5:...
2014 Perpendicular & Parallel Lines
Properties of Squares & Rectangles
Worksheet #1: Drawing Perpendicular Lines Worksheet #2: Drawing Parallel Lines Worksheet #3: Vertical and Horizontal Lines Worksheet #4: Properties of Squares & Rectangles Worksheet #5: Finding Unknown Marked Angles Worksheet #6: Finding the Lengths of Unknown Sides
Plus Fun& Challenge Page
Name: ____________________ EP 4/___ #____
Name: ____________________ Date: _____________EP 4/___ #____
Drawing Perpendicular Lines (With a Set-Square and Ruler)
1) Draw a straight line AB using a ruler.
2) Place a set-square against the line AB.
3) Use the edge of the square set to draw a line.
The lines AB and CD are perpendicular lines.
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Grade 4 Test 3 – 2014
Maths Worksheet 1
Name: ____________________ Date: _____________EP 4/___ #____
Drawing Perpendicular Lines (With a Set-Square and Ruler) For each line, use your set-square and ruler to draw a perpendicular line to it.
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Name: ____________________ Date: _____________EP 4/___ #____
Drawing Perpendicular Lines through a Given Point
To draw a line perpendicular to the line AB through the point X, slide the square set until the edge of the set-square touches the point X. Then draw a line to meet the line AB.
Draw a line perpendicular to AB through point X.
Draw a line perpendicular to CD through point Z.
Draw a line perpendicular to AB at the point S. Then draw another line perpendicular to AB through the point T.
Draw a line perpendicular to CD at the point H. Then draw another line perpendicular to CD through the point I.
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Name: ____________________ Date: _____________EP 4/___ #____
Partner Activity Use coloured pencils and a ruler for this activity.
1) Draw a straight line. Get your partner to draw a line perpendicular to your
line. Take turns to draw perpendicular lines.
2) Draw a straight line and make a point near it. Get your partner to draw a
line perpendicular to the first line through the point. Take turns to mark points and draw perpendicular lines to the first line through the points.
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Name: ____________________ Date: _____________EP 4/___ #____
Drawing Parallel Lines (with a set-square and ruler)
1) Draw a straight line AB using a ruler.
2) Place a set-square against the line. Then place a ruler at the
base of the set-square.
3) Slide the set-square along the ruler. Then use the edge of the
set-square to draw a new line CD.
The lines AB and CD are parallel lines.
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Grade 4 Test 3 – 2014
Maths Worksheet 2
Name: ____________________ Date: _____________EP 4/___ #____
Drawing Parallel Lines (With a Set-Square and Ruler)
For each line, use your set-square and ruler to draw 3 parallel lines to it.
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Name: ____________________ Date: _____________EP 4/___ #____
Drawing Parallel Lines through a Given Point
To draw a line parallel to the line AB through the point X, slide the square set until the edge of the set-square touches the point I. Then draw a line through point I.
PQR is a triangle.
1) Use a set square and ruler to draw a a) RED line parallel to the line QR through the point P. b) BLUE line parallel to the line PQ through the point R.
2) What do you notice about the two lines you have drawn?
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Name: ____________________ Date: _____________EP 4/___ #____
Parallel, Perpendicular or Intersecting Lines
Write parallel, perpendicular or intersecting about the pairs of lines below:
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Name: ____________________ Date: _____________EP 4/___ #____
Horizontal and Vertical Lines
Vertical lines are perpendicular to horizontal lines that they meet.
Find 4 objects with straight edges. Write the name and tell whether it has perpendicular and/or horizontal lines or neither. Objects with Straight Edges
Perpendicular Lines
Horizontal Lines
None
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Grade 4 Test 3 – 2014
Maths Worksheet 3
Name: ____________________ Date: _____________EP 4/___ #____ Properties of Squares & Rectangles
Square Rectangle ALL sides are EQUAL. OPPOSITE sides are EQUAL.
We draw black lines to show which lengths of sides are equal.
OPPOSITE sides are PARALLEL. OPPOSITE sides are PARALLEL.
We draw arrowheads to show that opposite sides are PARALLEL.
ALL angles are RIGHT ANGLES. ALL angles are RIGHT ANGLES.
We draw a square in the corners to show they are RIGHT angles.
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Grade 4 Test 3 – 2014
Maths Worksheet 4
Name: ____________________ Date: _____________EP 4/___ #____ These are some figures drawn on a grid square.
1) Study the figures. Complete the table to show the properties each figure has. Property
Figure S T U
It has four sides. All sides are equal. Opposite sides are equal. Exactly two pairs of parallel sides. All angles are right angles. 2) You are given some sticks with the following lengths: 4 cm, 4 cm, 4 cm, 4 cm, 6cm, 6cm, 6cm, 6cm, 8cm, 8cm
a) Form two squares and two rectangles with these sticks. You can only use one
or two sticks to form each side of the shape. b) Draw the figures and name their sides on the grid paper on the next page. c) Compare your shapes with your classmates.
(Optional): TRY IT! Use the drawing tools (such as in PAINT) on the computer to draw these figures. Each figure is formed by a square and a rectangle.
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Name: ____________________ Date: _____________EP 4/___ #____
Finding the Angles of Unknown Marked Angles in Squares and Rectangles
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Grade 4 Test 3 – 2014
Maths Worksheet 5
Name: ____________________ Date: _____________EP 4/___ #____
Finding the Lengths of Unknown Sides
Find the length of the unknown sides. Tick the property or properties you used to find it. 1)
2)
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Grade 4 Test 3 – 2014
Maths Worksheet 6
Name: ____________________ Date: _____________EP 4/___ #____
Figure MATHSZ is made up of a square and a rectangle. Find the length of TH. TH = 12cm – 5cm = 7cm
Figure ABCDEF is made up of two rectangles. Find the length of BF. BF = 9cm - 2cm = 7cm
Figure GSEPR is made up of a square and a rectangle. Find the unknown length of RA. RA = ____________
= _____________
Figure LYSTHI is made up of 3 rectangles. Find the unknown length of HE. HE = ____________
= _____________
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2014 Decimals (1)
Worksheet #7: Understanding Decimals Worksheet #8: Comparing Decimals Worksheet #9: Rounding Off Decimals Worksheet #10: Fractions & Decimals
Plus activities
Name: ___________________ EP 4/___ #____
Name: __________Date: ______ EP 4/___ #___ Understanding Decimals: Tenths
1) Study the different ways to show tenths.
2) Fill in the missing parts to show Six-tenths and Seven-tenths.
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Grade 4 Test 3 – 2014
Maths Worksheet 7
Name: ____________Date: _____ EP 4/__ #___
Understanding Decimals: Hundredths
The second digit to the right of the decimal point is in the hundredths place.
The decimal 0.07 is seven hundredths, or 7100
.
This square has 100 equal parts. What part of the square is shaded? Write your answer as a decimal.
This square has 100 equal parts. What part of the square is shaded? Write your answer as a decimal.
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Name: ____________Date: _____ EP 4/__ #___ Understanding Decimals: Thousandths
Look at the measuring tool on the right and answer the question. What is the place value of the digit 9 in the number above? Answer: ______________________
1) Write the number that has 5 tens, 9 ones, 4 tenths and 7 thousandths.
2) What number is the thousandths place in the number 9.876?
3) Write the number that has 8 tens, 3 ones,7 hundredths and 3 thousandths.
4) Write the decimal number for five and two hundredths.
5) Write the number that has 6 tens, 0 ones, 0 tenths, 0 hundredths and 3 thousandths.
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Name: ____________Date: _____ EP 4/__ #___ Comparing Decimals
Use <, >, or = to compare.
1) 0.3 0.13 2) 0.11 0.110
3) 1.372 1.383 4) 1.03 1.30
5) 12.3 12.300 6) 10.43 10.043
7) 1.002 1.020 8) 2.348 2.357
9) 0.70 0.700 10) 1.2254 1.2243
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Grade 4 Test 3 – 2014
Maths Worksheet 8
Maths Activity
Try it at home: Make your own set of cards and challenge your mom, dad or an older family
member.
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Comparing Decimals on a Number Line
Write the correct letter on the blank line next to each decimal.
1) 0.38 ______
2) 0.70 ______
3) 1.29 ______
4) 1.16 ______
5) 1.47 ______
6) 0.25 ______
7) 1.75 ______
8) 0.02 ______
9) 1.83 ______
10) 0.54 ______
11) 1.50 ______
12) 0.91 ______
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Maths Activity
1) Each player draws a card, the player with the decimal card with the least value goes
first. 2) Each player puts the 4 cards in order from least to greatest. 3) Once a card has been placed it CAN NOT be moved. You can, however, draw 2 more
cards to try and fix a mistake. 4) You receive 1 point for each round correctly completed. 5) Continue playing for 8 rounds.
6) The player with the most points is the winner. There may be multiple players if you all have the same score.
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Name: ___________________ EP 4/___ #____ Rounding Off Decimals
Rounding Off to the nearest Whole Number
Bon Voyage!
You have been assigned to estimate the weight of passengers’ carry-on bags for today’s flight on Assumption Airlines. Each bag must not weigh more than 7kg. Estimate the weight of each bag to the nearest whole number. Mark a if the estimated weight is 7 kg or less. Mark a if the estimated weight is more than 7 kg.
7.4 kg ≈ ______
4.7 kg ≈ ____
6.5 kg≈______
12.34 kg ≈ _____
6.77 kg ≈ _____
9.69 kg ≈ _____
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Grade 4 Test 3 – 2014
Maths Worksheet 9
Rounding off to the nearest tenth or to 1 decimal place
Assumption Airlines has to check the weight of all its food and drinks. Estimate each item to the nearest tenth. Then calculate the total weight for the 3 items. Mark a if the total weight of the items is less than 1 kg and a if the total weight is more than 1 kg. 500 ml water bottle
Red apple
Meal and Tray
The total Weight is less than 1 kg?
0.45 kg ≈ ______
0.15 kg ≈ _____
0.22 kg ≈ ______
Total Weight ≈ ______
Rounding off to the nearest hundredth or to 2 decimal places
Estimate the weight of each box to the nearest hundredth. Assumption Airlines can not accept any box that weighs more than 50.05 kg. Mark a if the weight of the items is 50.05 kg or less and a if the weight is more than 50.05 kg.
40.459 kg ≈ _____
39.145 kg ≈ _____
50.202 kg ≈ _____
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Name: ___________________ EP 4/___ #____ Fractions & Decimals
Write each fraction as a decimal.
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Grade 4 Test 3 – 2014
Maths Worksheet 10
Use an equivalent fraction by finding a denominator or 10 or 100.
Convert each fraction to decimal using division or equivalent fractions.
Write each decimal as a fraction.
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Coulour two puzzle pieces the same coulour as the matching fraction and decimal.
2014
Time
Worksheet #11: Seconds
Worksheet #12: 12 Hour to 24 Hour Clock
Worksheet #13: 24 Hour to 12 Hour Clock
Worksheet #14: Solving Problems with Time
Plus Activities & Challenges
Name: ___________________ EP 4/___ #___
Name: __________Date: ______ EP 4/___ #___
Seconds
Look at the clock faces. Draw the minute and second hands on the clock and fill in the box.
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Grade 4 Test 3 – 2014
Maths Worksheet 11
Name: __________Date: ______ EP 4/___ #___
12 Hour to 24 Hour Clock When?
Officially adopted by many countries around the world in 1884. The idea came from ancient Egyptian astronomers.
Why?
Without using am or pm, the 24 hour clock tells us the exact time without any doubts.
Who?
People worldwide use it mainly in transportation, medical, scientific and military fields.
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Grade 4 Test 3 – 2014
Maths Worksheet 12
Name: __________Date: ______ EP 4/___ #___
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Name: __________Date: ______ EP 4/___ #___
24 Hour to 12 Hour Clock
To convert a 24 hour to a 12 hour time, remember the following tips: ● If the hour is exactly 12, then simply label it as a pm time. ● If the hour is 00, then change it to 12 and label it as an am time. ● If the hour is greater than 12, then subtract 12 from the hour and label it as pm time. ● If the hour is less than 12, label it as am time and take away any leading zeroes.
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Grade 4 Test 3 – 2014
Maths Worksheet 13
Convert these times to a 12 hour clock with am and pm times.
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4)
7)
2)
5)
8)
3)
6)
9)
Match the AM and PM times to the 24 hour times.
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Name: __________Date: ______ EP 4/___ #___
Solving Problems with Time
Mystery of the Stolen Key Mr. Dave last saw the key to the EP Grade 4 Tree House at 13:47 in the EP teachers’ room. When he came back at 14:50, the key was gone. Mr. Dave has hired boy detective, Encyclopedia Brown to find out who stole the key.
Encyclopedia Brown has 3 suspects. Read his notes and answer the questions to help him figure out who stole the key.
Suspect Notes Green Goblin
Miss Maricel saw the Green Goblin enter the EP Library at 13:10. He left 1 hour and 50 minutes later. 1) What time did he leave the library?
Venom
Mr. Warren saw Venom swimming in the pool at 13:30. Master Rooj saw venom leaving the swimming pool 45 minutes later. 2) What time did Venom leave the swimming pool?
Electro
Miss Mel saw Electro practicing the Family Night dance on the ACC football field at 11:50. He practiced dancing for 3 hours and 30 minutes. 3) What time did Electro finish dancing?
Who stole the key? __________________ 6
Grade 4 Test 3 – 2014
Maths Worksheet 14
Mystery of the Missing Lunch Mr. Blair’s lunch is missing. He last saw it at 10:35. All suspects say that they didn’t do it. Who is lying? Read their alibies and answer the questions to decide who stole Mr. Blair’s lunch.
Who stole Mr. Blair’s lunch? __________________
If you enjoyed solving the Mystery of the Stolen Key and the Missing Lunches, you might like to solve other mysteries with Encyclopedia Brown. He has a whole series of mysteries for you to solve.
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My tennis match against Mr. Martin lasted 1 hour and 45 minutes. We finished at 11:45.
1) What time did the tennis match begin?
I was helping Miss Christine in the computer lab for 3 hours and 15 minutes. I left the lab at 13:05.
2) What time did Venom arrive in the computer lab?
I was working on electricity experiments in the Science Lab with Mr. Matthew for 4 hours and 20 minutes. I left the lab at 15:00.
3) What time did Electro start his electricity experiments in the Science Lab?
Clock Poetry Look at the examples. Then design your own clock poetry.