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Name: _________________ Date:___________________

Grade: 6 (A-B-C) Instructor: Kholoud, Alaa

Subject: Math Term 1 Revision Worksheet

1.Indicate wether the following numbers are divisible by 2, 3, 4, 5, 6, 9, 10 or 25.

2.Find the G.C.D of the following numbers. Justify and show your work.

a=24 and b=36

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a=25 and b=50

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a=15 and b=45

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2 3 4 5 6 9 10 25

635

1,925

174

4,136

26,920

13,250

2

a=12 and b=24

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a=73 and b=74

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a=224 and b=225

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A=13 and b=24

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a=7 and b=42

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3.Find the irreducible fraction equivalent to each of the following.

Show your work.

122

148:___________________________________________________________

1500

1250:___________________________________________________

216

264:____________________________________________________

625

915:___________________________________________________________

3

4.Indicate if the following fractions are equal or not. Show your work

12

28 -

9

21 -

27

63 -

18

44

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17

24 -

36

45 -

16

20 -

24

30

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5.Indicate among the following fractions, those that are decimal fractions.

Show your work.

346

100: __________________________________

14

20: ____________________________________

7

13: ____________________________________

36

45: ____________________________________

4

824

1,000: ___________________________________

18

25: ____________________________________

12

59: ____________________________________

6.Calculate. Show your work.

3.22=_______________________________________________

502=_______________________________________________

123=_______________________________________________

0.43=_______________________________________________

2.52=_______________________________________________

102=_______________________________________________

7.Find the missing number.

600,000= _________ __________=2x106

________=5x102 90,000,000= __________

3,000,000= _________ __________=4x107

________=7x105 8,000,000,000= __________

8.Compare. Show your work.

53-32+24-100 112+152-43+101

__________ __________

__________ __________

5

43-22+14-100 122+142-63+101

__________ __________

__________ __________

__________ __________

__________ __________

9.Write in the form of a power of 10.

2,206= _______________________________________________

137.72=______________________________________________

0.462= _______________________________________________

831.174=______________________________________________

10.Complete the following tables.

n n ÷100 nx0.01 2n÷1000

35.46

n n ÷10 nx100 n÷0.01 2n÷1000

163

6

n n ÷2 nx0.5 n÷4 nx0.25

25

n n ÷10 nx0.1 n÷100 nx0.01 nx0.001

145.6

11.Consider the following sums.

A= 2x102 + 4 + 𝟒

𝟏𝟎 +

𝟑

𝟏𝟎𝟎 +

𝟓

𝟏𝟎𝟎𝟎 B= 7x103 + 3x102+1 +

𝟒

𝟏𝟎𝟑

C= 4x102 + 𝟓

𝟏𝟎𝟐 +

𝟐

𝟏𝟎𝟑

-Write the above in the form of a decimal number.

A=__________ B=__________ C=__________

-Round A to the nearest tenths.

A=__________

-Round C to the nearest ones.

C=__________

-Compare A and B use <, > or =.

A=__________ B=__________

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A= 2x10 + 5 + 𝟓

𝟏𝟎 +

𝟏

𝟏𝟎𝟎 +

𝟑

𝟏𝟎𝟎𝟎 B= 7x102 + 7x10 +

𝟑

𝟏𝟎𝟐 +

𝟐

𝟏𝟎𝟑

C= 1x103+ 5 + 𝟕

𝟏𝟎 +

𝟐

𝟏𝟎𝟑

-Write the above in the form of a decimal number.

A=__________ B=__________ C=__________

- Round B and C to the nearest tenths.

B=__________ C=__________

-Rounding C to the nearest ones.

C=__________

a- Compare B and C use <, > or =.

B=__________ C=__________

12.Write each decimal number in the form of a decimal fraction, and each

decimal fraction in the form of a decimal number.

0.045=______________ 1.92=______________

𝟐

𝟖 =______________

𝟕

𝟐𝟎= ________________

0.0006=______________ 18.125=______________

𝟏

𝟕 =______________

𝟐𝟎

𝟓𝟎= ________________

0.82=______________ 0.47=________________

8

𝟓

𝟖 =______________

𝟑

𝟐𝟓= ________________

0.13=______________ 25.4=______________

𝟓

𝟒 =______________

𝟏𝟏

𝟐𝟎= ________________

13.Write the fraction form and the decimal form of the following decimal

numbers.

Four hundred forty five hundredths: __________________________

Two thousand four hundred tenths: ________________________

Six hundred two ten thousandths: __________________________

Ninety one tenths: __________________________

Eight hundred fifty six hundredths: __________________________

Seventy one tenths: __________________________

15.Geometry

1. Construct through point M the line (L) perpendicular to line (AD)

A

D

M

M

A

D

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2. Construct through point A the line (L) parallel to line (CD)

A D

M

M

A

D

C

D

A

A

C

C

D

D

A A

C

D

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3. Use the following figure to answer the questions below.

a) If [AB]=7, [BC]=4, [AD]=20. Find the length of [CD].

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b) If [AD]=46, [CD]=25. Find the length of [AC].

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c) If [AB]=5, [BD] is twice the length of [AB]. Find the length of [AD].

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4. Use the following figure to answer the questions below.

a) If [RT]=18cm, [TU] is half the length of [RT].Find the length of [RU].

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b) If [RU]=40cm, [TU]= ¼ of [RU]. Find the length of [RT].

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5. Solve the following.

a. -Construct Line (L1) parallel to Line (L2).

-Locate point R on (L1).

-Construct Line (S) perpendicular to line (L1) and passing through R.

-Prove that (S) is perpendicular to (L2).

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b. –Construct a Line (d)

-Locate points A and D on (d)

-Construct Line (d1) perpendicular to line (d) and passing through A.

-Construct Line (d2) perpendicular to line (d) and passing through D.

-Prove that (d1) is parallel to (d2).

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9.

Construct segment [AB] of measure 6cm. Construct the circle (C1) of

center A and radius 4cm. Construct the circle (C2) of center B and

radius 5cm. The two circles intersect at C and D.

-Find the measure of the diameter of the circle of center A.

-Find the measure of the diameter of the circle of center B.

-Find the measure of [AC], [AD], [BC], [BD].

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10.

a-Draw a segment [LK] of measure 12 cm. Draw a circle (C1) of center L

and radius 4cm. (C1) cuts [LK] in A. What is the measure of [AK]?

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b-Draw a circle (C2) of center K and radius 5cm. (C2) cuts [LK] in C.

What is the measure of [LC]?

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c-What is the measure of [CA]?

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11.

-Draw a circle (c) of center O and radius [OM].

-Draw the chord [FG]

-Find S the midpoint of [FG]

-What is the relationship between [OS] and [FG]? Justify.

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12.

-Draw a circle (c) of radius [OP]= 4cm.

-Draw the chord [LM]

-Find X the midpoint of [LM]

-What is the relationship between [OX] and [LM]?

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13.

-What is the position of A with respect to (R)?Justify

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-What is the position of B with respect to (R)?Justify

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-What is the position of C with respect to (R)?Justify

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Suppose that the radius of the circle is 2.5m.

Locate R such that [OR]=6cm

-What is the position of R with respect to (R)?Justify

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-Locate T such that [OT]=2cm

What is the position of T with respect to (R)?Justify

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-Locate Y such that [OY]=2.5cm

What is the position of Y with respect to (R)?Justify

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(R)

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14.

-Construct segment [AB]= 10cm

-Construct the circle (C1) of center A and radius 6cm. The circle cuts [AB]

in R.

-Construct the circle (C2) of center B and radius 7cm. The circle cuts [AB]

in S.

-What is the position of R with respect to (C1)?Justify

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-What is the position of S with respect to (C2)?Justify

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-The two circles intersect at X and Y. What is the position of X and Y with

respect to (C1) and (Cs)? Justify.

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15.

-Construct Circle (O) of radius 5cm.

-Locate point A at 6cm away from O.

-Draw line (L1) that passes through A and cuts (O) at B and C.

-Construct line (L2) perpendicular to the radius at B.

-What is the relative position of A with respect to the circle? Justify

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-What is the relative position of line (L2) with respect to the circle? Justify.

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18.

a-Construct segment [AB] of length 3cm, a circle (c) of center O and

diameter [AB], and a point K such that [OK]=5cm.

b-Calculate the radius of (c) then construct it.

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c-What is the position of K with respect to (C).

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d-Place the point I, midpoint of [OB] and construct the line (D)

perpendicular to [AB] at I. What is the position of (D) with respect to (C).

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e-Construct the straight line (D1) perpendicular to [OA] at O. What is the

position of (D1) with respect to (C).

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f-Prove that (D) is parallel to (D1).

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19.

-Place respectively the points E, A, O, and B such that [EA]=3cm,

[AB]=4cm, and O is the midpoint of [AB].

-Calculate [AO], [EO], and [EB]

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21.Locate on line (AB) the point N collinear to points S and D.

A

B

S

D

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22.Consider the following Circle (C).

a) Construct Line (D1) tangent to (C)

At M.

b) Construct Line (D2) tangent to (C)

At N.

c) Locate point D, diametrically opposite

to point C.

d) Verify that (D1) // (D2) .

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23.

(D1) and (D2) are two parallel lines.

a)Locate point A on (D1).

b)Construct line (D3) passing through point A and perpendicular to (D1).

c)What is the relative position of line (D3) with respect to (D2)? Justify.

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C

M N

O

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24.Construct the following.

a) Draw a segment [XY] of measure 10 cm.

b) Locate point K the midpoint of [XY].

c) Draw the circle (C1) of center X and of radius 3 cm. (C1) cuts [XY] in A.

What is the measure of [AY]? Show your work.

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d) Draw the circle (C2) of center Y and of radius 2 cm. (C2) cuts [XY] in B.

What is the measure of [Bk]? Show your work.

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e) What is the measure of [AB]? Show your work.

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25. Find the LCM of a and b. Show your work or your justify.

a=12, b=30

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a=5, b=17

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a=15, b=90

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a=18, b=19

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26. Answer by true or false. Correct the false statements.

28 is a divisor of 4.______

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35 is a multiple of 5.______

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To determine the factors of a natural number, I multiply this number by

only 0,1,2,3.______

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Zero is a multiple of all natural numbers

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The secant touches the circle at only one point

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Relatively prime numbers have their L.C.M. =1

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Good Luck!