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Mixed exercises
{{exercise_number}}. Match the items (a-l) and their units of length (A-L).
a) height of a door
b) width of a bench
c) diameter of a baseball
d) width of a door
e) length of a marathon
f) length of a locomotive
g) length of a running track
h) length of a car
i) length of a bee stinger
j) length of a matchstick
k) length of a triathlon
l) height of Mount Everest
A: \latex{ 2 } \latex{ m }
B: \latex{ 5 } \latex{ dm }
C: \latex{ 17 } \latex{ cm }
D: \latex{ 95 } \latex{ cm }
E: \latex{ 42,195 } \latex{ m }
F: \latex{ 23 } \latex{ m }
G: \latex{ 400 } \latex{ m }
H: \latex{ 45 } \latex{ mm }
I: \latex{ 3 } \latex{ mm }
J: \latex{ 5 } \latex{ m }
K: \latex{ 8,848 } \latex{ m }
L: \latex{ 3,800 } \latex{ m }
{{exercise_number}}. The width of a room is \latex{ 3 } \latex{ m } \latex{ 60 } \latex{ cm }. Can you fit a \latex{ 120 } \latex{ cm } wide cupboard, a \latex{ 90 } \latex{ cm } wide shelf and a \latex{ 1 } \latex{ m } \latex{ 40 } \latex{ cm } wide desk against a single wall? Plan the arrangement by drawing it.
{{exercise_number}}. The length of a marathon is \latex{ 42,195 } \latex{ metres }.
a) Round up the distance to the nearest whole \latex{ kilometre }.
b) Approximately how many laps around an average track (\latex{ 400 } \latex{ m }) is the same distance as a marathon?
c) If a person walks at a speed of \latex{ 5 } \latex{ km } \latex{ per } \latex{ hour }, how much time does it take to walk a marathon (assuming the same speed for the whole distance)?
d) How many times longer is a marathon in comparison to the distance from your home to your school?
b) Approximately how many laps around an average track (\latex{ 400 } \latex{ m }) is the same distance as a marathon?
c) If a person walks at a speed of \latex{ 5 } \latex{ km } \latex{ per } \latex{ hour }, how much time does it take to walk a marathon (assuming the same speed for the whole distance)?
d) How many times longer is a marathon in comparison to the distance from your home to your school?
{{exercise_number}}. Put the following quantities in ascending order.
\latex{ 80,700 } \latex{ dkg }
\latex{ 80 } \latex{ kg } \latex{ 7 } \latex{ dkg }
\latex{ 8 } \latex{ t }
\latex{ 807 } \latex{ kg }
\latex{ 70 } \latex{ kg } \latex{ 8 } \latex{ dkg }
\latex{ 70,000 } \latex{ g }
{{exercise_number}}. Dora was born on the \latex{ 92 }\latex{ nd } \latex{ day } of a \latex{ leap } \latex{ year }. When she was \latex{ 60 } \latex{ months } old, she weighed \latex{ 15,000 } \latex{ grams } and was \latex{ 6 } \latex{ decimetres } \latex{ and } \latex{ 540 } \latex{ millimetres } tall. She started school at the age of \latex{ 88 } \latex{ months. } It takes her and her brother \latex{ 1,200 } \latex{ seconds } to walk to school, which is \latex{ 8,200 } \latex{ decimetres } from their home. Tell the same story using the same quantities but different units.
{{exercise_number}}. Fill in the missing units and values.
a) \latex{ 57 } \latex{ cm = } ......... \latex{ mm }
b) \latex{ 8,500 } \latex{ g = } ........ \latex{ kg }
c) \latex{ 2 } \latex{ hours } \latex{ = } ......... \latex{ s }
d) ......... \latex{ m } \latex{ = 2,900 } \latex{ cm }
e) ......... \latex{ t } \latex{ = 65,000 } \latex{ kg }
f) ......... \latex{ hour } \latex{ = 1 } \latex{ week }
g) \latex{ 72,000 } ......... \latex{ = 72 } \latex{ km }
h) \latex{ 14,000 } \latex{ g } \latex{ = 14 } .........
i) \latex{ 45 } \latex{ minutes } \latex{ = 2,700 } ....
{{exercise_number}}. If the number of \latex{ days } that have passed since the \latex{ 6 }th of December is the same as the number of \latex{ days } remaining until Christmas, what \latex{ day } is it today?
{{exercise_number}}. Imagine a clock that shows the correct time at \latex{ 0:00 } on New Year's Day. But then it lags behind and gets \latex{ 15 } \latex{ minutes } late more each \latex{ day. } When will it show the correct time again?
{{exercise_number}}. Which number is the same distance from both numbers on the number line?
a) \latex{ 22 } and \latex{ 38 }
b) \latex{ 498 } and \latex{ 934 }
c) \latex{ 1,863 } and \latex{ 3,459 }
{{exercise_number}}. Anna, Bonnie and Clare have weighed themselves and come to the following conclusions: Anne and Bonnie weigh \latex{ 81 } \latex{ kg } together, Bonnie and Claire weigh \latex{ 89 } \latex{ kg } together, and Anne and Claire weigh \latex{ 84 } \latex{ kg } together. How many \latex{ kilos } does Bonnie weigh?
{{exercise_number}}. Vanda has weighed her four guinea pigs in pairs. Doe and Buck weighed \latex{ 1,100 } \latex{ grams }, Buck and Porky weighed \latex{ 1,030 } \latex{ grams }, and Porky and Trotter weighed \latex{ 1,080 } \latex{ grams }. Can she tell from her previous measurements how much Doe and Trotter weigh together? Support your answer.
{{exercise_number}}.What weights can we measure if we have a two-armed balance and one of each of the following weights: \latex{ 1g}, \latex{ 2g }, \latex{ 4g }, \latex{ 8g } and \latex{ 16g }?
{{exercise_number}}. Kate, Zoe, Matt and Rob are classmates. At the end of their fourth year, they all got different grades in maths, but they all passed (\latex{ 2, 3, 4 } and \latex{ 5 } are the pass grades). What grades did each of them get if all their statements are true?
- Kate: Rob got a \latex{ 5 }, Matt did not get a \latex{ 4 }.
- Zoe: Matt did not get a \latex{ 3 }.
- Rob: Kate did not get a \latex{ 3 }.
{{exercise_number}}. Agatha, Bea and Cecilia came first, second and third in a sports competition. After the race, they told their friend the following: "Agatha was not first. Bea was not second. Cecilia was neither first nor third". You then realise that only one of the three statements was true. What was the real ranking of the girls in the race?
{{exercise_number}}. How many errors are there in the following story?
Greg’s ruler rang at \latex{ 6 } \latex{ centimetres } in the morning. He looked at his watch and saw that he needed to dress warmly since the air temperature was only \latex{ 5 } \latex{ kilograms }. He drank \latex{ 3 } \latex{ minutes } of hot chocolate, then packed his bag. It seemed very heavy, so he measured it with a thermometer and found it to be \latex{ 12 } \latex{ metres }.
{{exercise_number}}. The bar charts below show the results of the same maths test in three different classes. Which class got the best test results?
\latex{ 5 }
\latex{ 15 }
(No.)
\latex{ 10 }
A
\latex{ 5 }
\latex{ 15 }
\latex{ 15 }
(No.)
(grade)
\latex{ 10 }
\latex{ 10 }
Class \latex{ 5/ }c
Class \latex{ 5/ }a
Class \latex{ 5/ }b
(No.)
(grade)
(grade)
\latex{ 5 }
F
D
C
B
A
F
D
C
B
A
F
D
C
B
{{exercise_number}}. What units are hidden in the following words?
a) REMET
b) MRAG
c) RAKDEGMA
d) MERCITEED
e) MORGKALI
f) DENOCS
g) TERICEMENT
h) MIKORETEL
