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Grade 7 Mathematics Online Lessons on Measurement: Length
Convert the following to metres:
a) 37 Dm 25 dm
b) 928 hm 12 Dm
(3m 35s)
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1.
Fill in the gaps in the following: a) 4m = ______ dm b) 20 dm = ______ cm c) 4.6 Dm = ____ dm d) 7.8 hm = ____ m
2.
Convert the following to metres: a) 37 Dm 25 dm b) 928 hm 12 Dm
3.
Njatha walks 7 hm from home to school and back. How many metres does he cover in a day from home to school and back?
4.
Nekesa and Mwalili measured and compared their heights. Nekesa was 1.6 m tall. Mwalili was 10 cm taller than Nekesa. Work out Mwalili’s height in decimeters.
5.
A mason measured the length of a piece of metal and found that it was 3 hm 3 m 30 dm 250 cm. Determine the length of the piece of metal in: a) hectometres b) metres c) decimetres
6.
Work out: 32 hm 35 m 34 cm + 14 hm 12 m 76 cm
7.
Kerubo lives in Nyeri town. She travelled 80 hm 50 m to a certain farm to educate farmers on the best farming practices. She first travelled 75 hm 60 m to a shopping centre near the farm by bus. She then took a motorbike to the farm. What distance did she travel using a motorbike?
8.
A county tractor slashed grass along a certain road in two days. On the first day, the tractor slashed grass along 103 hm 7 Dm 1 m of the road. On the second day, it slashed grass along 200 hm 6 Dm 5 m of the road. What was the length of the road?
9.
Kuto is a pastoralist. He bought 90 hm 5 Dm 7 m 4 dm of barbed wire to fence his grazing field. He used 85 hm 9 Dm 6 m 7 dm of the barbed wire to fence. What length of the barbed wire remained?
10.
Work out: (multiplying distance)
11.
Work out: Divide distance
12.
Mwepesi cycles 8 hm 45 Dm 5 m every day to keep fit. What distance did he cycle in February, 2020?
13.
A box has a length of 5 m 6 dm 5 cm. Bogonko arranged 23 such boxes along a straight line. How far did the boxes extend?
14.
The distance from Mutua’s home to school is 25 hm 8 Dm 9 m. Every day, Mutua walks to and from school. One day, he forgot to carry his pens to school. He ran home to collect the pens then went back to school. What distance did he cover that day?
15.
Work out the perimeter of each of the following shapes.
16.
What is the perimeter of the figure below?
17.
Work out the length around the shapes below.
18.
The lid of a rectangular box is 40 cm long and 10 cm wide. The lid is bound along its edges with a tape. What is the length of the tape?
19.
An athlete runs seven laps every morning round a rectangular field. The field measures 50 m long and 25 m wide. What distance does he cover?
20.
A piece of wire forms a square whose side measures 20 cm. Akinyi straightens the wire and folds it again to form a 24 cm long rectangle. Work out the width of the rectangle.
21.
Calculate the circumference of circles with the following diameters. (Use #p =22/7#) a) 14 mm b) 6.3 cm
22.
Work out the circumference of circles with the following radii. (Use p = 3.14) a) 4.5 cm b) 9.5 cm
23.
Find the circumference of the following figure. (Use p = 3.14)
24.
What is the circumference of the shape below? (Use p = 3.14)
25.
What is the perimeter of the figure below? (Circumference)
26.
A kite is made in the shape shown below. Find the length of all the edges of the kite.
27.
A cow is tethered to a pole using a rope 8.4 m long. Calculate the circumference of the greatest circular area within which the cow can graze.
28.
The distance round a circular swimming pool is 39.25 m. A lifeguard noticed a swimmer drowning at the centre of the pool. How far does he need to swim to get to the centre of the pool?
29.
The diameter of the wheels of Wagio’s bicycle is 80 cm. a) Calculate the circumference of her bicycle wheel. b) One day, Wagio cycled her bicycle and made 200 revolutions. What distance did she cover?
30.
Jamal used 594 m of barbed wire to fence his circular garden using three strands of barbed wire. What is the radius of the garden? #(Use p =22/7)#
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