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Grade 7 Mathematics online lessons on squares and square roots
The square of a handkerchief is 400 cm2. What is the length of one side of the handkerchief?
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1.
Determine the squares of the following. a) 14 b) 305 c) 8#1/5#
2.
Work out: a) #(32)^2# b) #(5 1/5)^2#
3.
Rehema fenced her square ranch using five strands of barbed wire. The length of the barbed wire that she used was 2000 m. What is the area of the ranch?
4.
Saitoti is an architect. He designed a square playground for Mwololo Junior Secondary School. The length of one side of the playground was 240 m. What was the area of the playground that he designed?
5.
Arama shared a square slice of bread equally with Kawira. Kawira’s piece measured 3 cm by 6 cm. What is the area of the face of the slice of bread that Arama shared?
6.
Ranima grows cabbages in his square kitchen garden. The length of one side of the garden is 180 cm. He planted cabbages at 30 cm intervals. How many cabbages fit in the square garden?
7.
Determine the squares of the following decimal numbers: a) 0.8 b) 1.3 c) 0.07
8.
Work out the following: a) #0.09^2# b) #1.47^2#
9.
In her Home Science Project, Mugambi chose to make a square table cloth. The length of one side of the tablecloth was 1.25 m. What was the area of the table cloth that he made?
10.
To make a pin cushion, Zuhura folded a square piece of cloth into two equal parts. The folded cloth measured 8.2 cm by 4.1 cm. Work out the area of the piece of cloth that she folded.
11.
An artist required a 20.6 m long piece of wood to make a square gate frame. Work out the area of the frame the artist made?
12.
A square table for displaying paintings is decorated along the edges of its top with 20 pins fixed 2.1 cm apart. What is the area of the table top?
13.
Determine the square root of the following numbers. a) 16 b) 256
14.
Work out: a) #sqrt36# b) #sqrt625#
15.
The square of a handkerchief is 400 cm2. What is the length of one side of the handkerchief?
16.
Jamila arranged 441 tins of equal size on the floor of a square store. In how many rows and columns did she arrange the tins?
17.
Mariga planted 6 241 coffee seedlings in his square piece of land in an equal number of rows and columns. The space between the seedlings was equal. How many coffee seedlings did he plant on each row?
18.
Determine the square root of the following fractions. a) #1/9# b) #64/121#
19.
Work out: #sqrt(3 13/81)#
20.
A farmer transports tomatoes using square sided crates. The area of one side of the crate is #1 9/16 m^2#. What is the length of one side of the crate?
21.
Hamisi’s table has a square top. The area of the top is #4 21/25 m^2#. He bought a table cloth to cover the whole tabletop. What length of the tablecloth did he buy?
22.
Ombulu wanted to buy a square window glass to fix on a frame whose area was #2 7/9 m^2#. What length of glass would you advise him to buy?
23.
Determine the square root of each of the following. a) 0.36 b) 7.29
24.
Work out: #sqrt10.24#
25.
Jarso fenced a square plot using wire mesh. The area of the plot is 488.41 m2. What length of wire mesh did he use?
26.
Mutheu used five strands of wire to reinforce a concrete floor of her square house along its edges. The area of the floor of her house is 40.96 m2. Calculate the length of the wire that she used.
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