Apprenticeship & Workplace 11 Worksheet (Calculator Basics)

1. Matching exercise • place the number of the best symbol by the description given on the left (each symbol will only be used once) _____ a) Changes the sign from positive to negative 1. 2. AC _____ b) Used for the exponential part of scientific notation 3. Ans 4. _____ c) Used for inputting fractions 5. DEL 6. EXP _____ d) Raises a number to the power of 2 (squares the number) 7. INS 8. M+ _____ e) Allows you to insert a character in a mathematical sentence 9. OFF 10. _____ f) Allows you to find the percent one number is of another number 11. 12. _____ g) The left hand bracket 13. % 14. = _____ h) Turns the calculator off 15. ( 16. ) _____ i) Stores the number on the display screen in memory 17. ^ 18. _____ j) Exponent key (raises a number to any power that you want) 19. 20. _____ k) Inserts the value for (pi) 21. 22. (-) _____ l) Displays the answer to a mathematical sentence _____ m) Determines the cube root of a number _____ n) Clears all the numbers from the last calculation _____ o) Raises the number ten to a particular exponent _____ p) Changes a mixed number to an improper fraction _____ q) Recalls the answer to the last calculation _____ r) Determines the square root of a number _____ s) Deletes the last character entered on the display screen _____ t) The right hand bracket _____ u) Finds the nth root of a number _____ v) Raises a number to the power of 3 (cubes the number)

b ca

d c

2x3xp

3

x

p 10x

2. Use your scientific calculator to find the following answers. Write the answers in the space provided on the right (include all the numbers in the display screen).

a) 2a)_____________________ b) 2b)_____________________ c) 2c)_____________________ d) 2d)_____________________

e) 2e)_____________________

f) 2f)_____________________ g) 2g)_____________________ h) 2h)_____________________ i) 2i)_____________________ j) 2j)_____________________ k) 2k)_____________________ l) 2l)_____________________

m) 2m)____________________

n) 2n)_____________________

o) Simplify 2o)_____________________

p) 2p)_____________________

q) 2q)_____________________

r) 2r)_____________________

s) 2s)_____________________

t) 2t)_____________________

u) 2u)_____________________

v) 2v)_____________________

w) 2w)____________________ x) 2x)_____________________ y) 2y)_____________________

z) 2z)_____________________ aa) 2aa)____________________ bb) 2bb)____________________

cc) 2cc)____________________ dd) 2dd)____________________ ee) 2ee)____________________

23 4.5 53+ -( ) ( )56 12 2.5´ - ÷ -

12369 7532 74103´ ´( ) ( )75 794.5 10 2.3 10-´ ´ - ´

( ) 22 3 10+ ´

( )51.032 10 7´ ÷

3 5 6+ ´7 8 4 5´ - ´1 2 3 4 5 6+ - ´ ÷ +

( )100 2 3 4- + ´

( )2 3 4 5+ ´ +

( ) ( )7 2 8 5- ´ +

( )10 2 7 3 6é ù- + ´ +ë û2 135 4+

456378

1 12578 4572

+

1 0.52´

1 4 53 5 6

æ ö´ - -ç ÷è ø

1 1 1 12 3 4 5´ + ´

( )1 / 32

( )1 11/ 3 4+

( )43-43-2.35.6

( ) 1278 23 --( )5 6.72 3 +´

2 5+

( )3 35 27+ -7 1232 2 2 22 3 4 5+ + +312

Apprenticeship & Workplace 11 Worksheet (Decimals) 1. Rewrite vertically and add the following: a) 17.6 + 3.05 + 0.091 b) 10.03 + 4.678 c) 6.029 + 28 + 0.068 + 3.1 2. Rewrite vertically and subtract the following. a) 92.4973 – 6.02 b) Subtract 0.093 from 1.8 c) 103 – 8.45 3. Rewrite vertically and multiply the following. a) 25 x 0.25 b) 8.3 x 2.1 c) 12.54 x 3.5 4. Rewrite vertically and divide the following. a) 85 divided by 4 b) 96.3 divided by 3 c) 67.24 divided by 8

Apprenticeship & Workplace 11 Worksheet (Fractions) 1. Write each fraction in lowest terms. a) !"#"" b) $%&' c) #((! d) #')" 2. Write each mixed number as an improper fraction. a) 2 #) b) 6 )& 3. Write each improper fraction as a mixed number. a) #,$ b) (&' 4. Add or subtract. a) ,% +

!% = b) #)#& −

!#& =

c) #( +

$& = d) '! −

#$ =

e) 1 &! + 4(& = f) 6 )

#" − 2#&

5. Multiply or divide. a) '#" ×

&) = b) ,! ÷

#$(" =

c) &#( ×

#$ = d) 7 ÷ #

) = e) $## ×

,) = f) &#( ÷

)( =

Apprenticeship & Workplace 11 Worksheet (Ratios and Proportion) 1. Is the proportion true or false? Explain how you know.

a) !" =

"!$ b)

%!! =

!&&&

c) '() =

$%$ d)

)*!$* =

$*&*

e) !.$)." =

*."$.) f)

,,& =

,*.&

g) $!$* =

-, h)

"!& =

$(.!*

2. Solve each proportion. a) /*, =

%*0 b) $% =

0!&

c) $0 =

&%& d) 0) =

%%$"

e) *.%!* =!.$0 f) 0, =

!/

g) $"!& =

"*0 h) 0$* =

&$&-&

i) ,0 =

!&$" =

1$* j) ")%* =

%))0 = 1

,"

Apprenticeship & Workplace 11 Worksheet (Percent) 1. Write each of the following fractions as a percent.

a) !"# = "## = % b)

"% = "## = %

c) %& = "## = % d)

""'# = "## = %

e) '!&# = "## = % f)

('& = "## = %

2. Insert <, > or = to make each statement true. a) "!&# 35% b) "-'& 60% c) 0.62 ("&# 3. Complete the following table.

Decimal Fraction (Lowest Terms) Percent

65%

0.78

1325

0.03

90%

3950

4. Calculate the following. Round your answers to the nearest tenth when necessary.

a) What percent is 17 of 99? _________________

b) What number is 88% of 22? _________________

c) 44 is 30% of what number? _________________

d) What percent is 6 of 11? _________________

e) What number is 3% of 61? _________________

f) 16 is 50% of what number? _________________

g) What percent of 52 of 829? _________________

h) What number is 55% of 382? _________________

i) 3 is 90% of what number? _________________

j) What percent is 77 of 104? _________________

k) What number is 26 % of 600? _________________

l) 49 is 98% of what number? ________________

Apprenticeship & Workplace 11 Worksheet (Metric System – Introduction) 1. Write the abbreviation for each of the following. a) gram __________ h) decilitre __________ o) centilitre __________ b) litre __________ i) milligram __________ p) kilogram __________ c) metre __________ j) kilolitre __________ q) decimetre __________ d) kilometre __________ k) centimetre __________ r) millilitre __________ e) decalitre __________ l) decagram __________ s) hectogram __________ f) centigram __________ m) millimetre __________ t) decametre __________ g) hectometre __________ n) hectolitre __________ u) decigram __________ 2. Write the correct symbol for each of the following. a) 100 grams = 1 _______ g) 0.01 grams = 1 _______ m) 10 metres = 1 _______ b) 0.01 litres = 1 _______ h) 10 litres = 1 _______ n) 0.001 litres = 1 _______ c) 0.1 metres = 1 _______ i) 0.1 grams = 1 _______ o) 1000 metres = 1 _______ d) 1000 litres = 1 _______ j) 0.01 metres = 1 _______ p) 0.1 litres = 1 _______ e) 10 grams = 1 _______ k) 1000 grams = 1 _______ q) 0.001 grams = 1 _______ f) 0.001 metres = 1 _______ l) 100 litres = 1 _______ r) 100 metres = 1 _______ 3. Write the meaning for the following symbols (spelling counts!). a) dℓ __________________________________ j) daℓ ___________________________________ b) kg __________________________________ k) hg ____________________________________ c) cm _________________________________ l) dm ____________________________________ d) dg _________________________________ m) cg ___________________________________ e) hm _________________________________ n) mℓ ___________________________________ f) cℓ __________________________________ o) km ___________________________________ g) dag _________________________________ p) hℓ ____________________________________ h) kℓ __________________________________ q) dam __________________________________ i) mm _________________________________ r) mg ____________________________________

4. Complete the following table.

Quantity Name Abbreviation 0.001 m

1 kilometre hm 1 centimetre

10 m dm 1 hectometre

1000 m 0.01 m

1 decimetre mm dam

100 m 1 millimetre

0.1 m km cm 1 decametre

Apprenticeship & Workplace 11 Worksheet (Metric System – Conversions) 1. Make the following conversion of metric units. a) 1 m = __________ cm g) 1 g = __________ dg m) 1 g = __________ dag b) 1 g = __________ hg h) 1 ℓ = __________ daℓ n) 1 m = __________ dm c) 1 ℓ = __________ dℓ i) 1 m = __________ km o) 1 g = __________ cg d) 1 g = __________ kg j) 1 ℓ = __________ cℓ p) 1 ℓ = __________ kℓ e) 1 m = __________ dam k) 1 m = __________ mm q) 1 g = __________ mg f) 1 ℓ = __________ mℓ l) 1 ℓ = __________ hℓ r) 1 m = __________ hm 2. Use the following chart to help convert the following measurement into the indicated units.

k

h

da

m g ℓ

d

c

m

a) 0.1 hg = _______________________ kg p) 0.4 dag = ____________________________ hg b) 14 cm = _______________________ mm q) 60 mm = ____________________________ km c) 281 ℓ = ________________________ hℓ r) 53 km = _____________________________ cm d) 1463 kℓ = ______________________ ℓ s) 39 cℓ = ______________________________ dℓ e) 2.1 g = _________________________ dag t) 132 dg = ______________________________ g f) 10 m = _________________________ mm u) 430 mg = ____________________________ cg g) 98.6 hg = _______________________ dg v) 0.05 daℓ = ___________________________ dℓ h) 2991 dm = ______________________ dam w) 4.8 cm = ____________________________ m i) 367.13 ℓ = _______________________ kℓ x) 0.03 hg = ___________________________ mg j) 9768 mm = ______________________ dam y) 1.1 mℓ = ____________________________ ℓ k) 16 cg = _________________________ hg z) 152 dg = ____________________________ kg l) 4.16 kg = ________________________ dg aa) 48.73 daℓ = __________________________ ℓ m) 99 dam = _______________________ cm bb) 0.071 kg = __________________________ mg n) 0.031 hg = _______________________ g cc) 102 m = ____________________________ cm o) 11.2 dℓ = ________________________ mℓ dd) 55 hg = ____________________________ dag

3. Use the following chart to help with your conversions of distance units. a) 12 hm = __________________ m = _______________________ dm = __________________ mm b) 0.042 km = __________________ dam = __________________ cm = __________________ m c) 43.3 mm = __________________ dm = __________________ dam = __________________ hm d) 1300 cm = __________________ m = __________________ hm = __________________ mm e) 12.53 dam = __________________ km = __________________ dm = __________________ cm f) 1.53 m = __________________ km = __________________ cm = __________________ hm g) 312 dm = __________________ dam = __________________ m = __________________ mm h) 0.0096 dam = __________________ hm = __________________ m = __________________dm i) 3210 dm = __________________ km = __________________ cm = __________________ hm j) 16 000 mm = __________________ m = __________________ km = __________________ cm j) 3.37 km = __________________ dm = __________________ hm = __________________ mm k) 12.55 m = __________________ dm = __________________ dam = __________________ mm l) 0.058 hm = __________________ dam = __________________ cm = __________________ km m) 823 cm = __________________ km = __________________ dm = __________________ dam n) 11 230 cm = __________________ hm = __________________ dm = __________________ m o) 82.1 m = __________________ cm = __________________ hm = __________________ dm p) 2.97 dam = __________________ m = __________________ cm = __________________ km

Apprenticeship & Workplace 11 Worksheet (Imperial System) Convert the following imperial measurements. Leave answers in ONE decimal when necessary.

1. 1.7 miles = ____________________ feet 2. 812 inches = ____________________ yards 3. 38.7 yards = ____________________ feet 4. 1023 feet = ____________________ inches 5. 18.7 yards = ____________________ miles 6. 507 inches = ____________________ feet 7. 10 500 feet = ____________________ miles 8. 8000 miles = ____________________ inches 9. 54.7 feet = ____________________ yards 10. 11.2 yards = ____________________ inches 11. 4.5 miles = ____________________ yards 12. 8358 inches = ____________________ miles

OVER à

mile yard feet inches

1760×

12× 3×

12÷ 3÷ 1760÷

13. 14.7 yards = ____________________ feet 14. 4908 inches = ____________________ yards 15. 5.3 miles = ____________________ inches 16. 4200 feet = ____________________ yards 17. 4.32 miles = ____________________ feet 18. 105 000 inches = ___________________ miles 19. 47.9 feet = ____________________ inches 20. 3500 yards = ____________________ miles 21. 50 000 feet = ____________________ miles 22. 256 inches = ____________________ feet 23. 5000 yards = ____________________ inches 24. 19.7 miles = ____________________ yards

mile yard feet inches

1760×

12× 3×

12÷ 3÷ 1760÷

Apprenticeship & Workplace 11 Worksheet (Metric & Imperial Conversions) Use your conversion charts to help answer the questions. Leave ALL answers in two decimals. YOU MUST SHOW YOUR WORK! 1. 14 mi = ____________________ km 10. 12.8 yd = ____________________ dam 2. 21 m = ____________________ ft 11. 119 cm = ____________________ ft 3. 8.2 yd = ____________________ m 12. 850 mm = ____________________ in

mile yard feet inches

1760×

12× 3×

12÷ 3÷ 1760÷

1.609

1.609mile kilometre

×

÷⎯⎯⎯→←⎯⎯⎯

0.9144

0.9144yard metre×

÷⎯⎯⎯→←⎯⎯⎯

× 0.3048

÷ 0.3048foot metre⎯⎯⎯→←⎯⎯⎯

× 2.54

÷ 2.54inch centimetre⎯⎯⎯→←⎯⎯⎯

4. 94 cm = ____________________ in 13. 400 in = ____________________ dam 5. 12 m = ____________________ yd 14. 8 ft = ____________________ mm 6. 8.7 ft = ____________________ m 15. 1.3 km = ____________________ ft 7. 43 in = ____________________ cm 16. 1000 ft = ____________________ hm 8. 10 km = ____________________ mi 17. 712 cm = ____________________ yd 9. 70 mi = ____________________ hm 18. 0.5 mi = ____________________ dm