Question

mat2l

1. identify, in millimetres, the location of each arrow.

a)
b)
c)
d)
image of a ruler with arrows at various points

1. convert each answer from #7 to centimetres.

a)
b)
c)
d)

1. circle the more likely measure for each distance.

a) the width of the door \t100 cm \t10 m
b) the length of a calculator \t12 mm \t12 cm
c) the thickness of a quarter \t1 mm \t1 cm
d) the length of your binder \t9 in \t9 ft
e) the height of the wall \t240 in. \t10 ft
f) the length of your foot \t11 ft \t1 ft

1. write the following ratios in lowest terms.
2. 2:8 = \tfilled with 1:4
3. 3:9 = \tfilled with 1:3
4. 20:25 = \tfilled with 12:5
5. 12:15 =
6. 7:21 =
7. 22:77 =
8. \\(\frac{4}{12}\\) =
9. \\(\frac{5}{30}\\) =
10. \\(\frac{3}{9}\\) =
11. \\(\frac{6}{24}\\) =
12. \\(\frac{16}{40}\\) =
13. \\(\frac{10}{90}\\) =

Explanation:

Step1: Read ruler in mm (Q7)

Each cm = 10 mm, small ticks = 1 mm.
a) $0.8 \times 10 = 8$ mm
b) $3.0 \times 10 = 30$ mm
c) $4.9 \times 10 = 49$ mm
d) $7.1 \times 10 = 71$ mm

Step2: Convert mm to cm (Q8)

Use $1\ \text{cm} = 10\ \text{mm}$, divide by 10.
a) $\frac{8}{10} = 0.8$ cm
b) $\frac{30}{10} = 3.0$ cm
c) $\frac{49}{10} = 4.9$ cm
d) $\frac{71}{10} = 7.1$ cm

Step3: Select realistic measures (Q9)

Choose practical everyday lengths.
a) 100 cm; b) 12 cm; c) 1 mm; d) 9 in; e) 240 in; f) 1 ft

Step4: Simplify ratios (Q10)

Divide by greatest common factor (GCF).

1. $\text{GCF}(2,8)=2$, $\frac{2}{2}:\frac{8}{2}=1:4$
2. $\text{GCF}(3,9)=3$, $\frac{3}{3}:\frac{9}{3}=1:3$
3. $\text{GCF}(20,25)=5$, $\frac{20}{5}:\frac{25}{5}=4:5$
4. $\text{GCF}(12,15)=3$, $\frac{12}{3}:\frac{15}{3}=4:5$
5. $\text{GCF}(7,21)=7$, $\frac{7}{7}:\frac{21}{7}=1:3$
6. $\text{GCF}(22,77)=11$, $\frac{22}{11}:\frac{77}{11}=2:7$
7. $\text{GCF}(4,12)=4$, $\frac{4/4}{12/4}=\frac{1}{3}$
8. $\text{GCF}(5,30)=5$, $\frac{5/5}{30/5}=\frac{1}{6}$
9. $\text{GCF}(3,9)=3$, $\frac{3/3}{9/3}=\frac{1}{3}$
10. $\text{GCF}(6,24)=6$, $\frac{6/6}{24/6}=\frac{1}{4}$
11. $\text{GCF}(16,40)=8$, $\frac{16/8}{40/8}=\frac{2}{5}$
12. $\text{GCF}(10,90)=10$, $\frac{10/10}{90/10}=\frac{1}{9}$

Answer:

Question 7

a) 8 mm
b) 30 mm
c) 49 mm
d) 71 mm

Question 8

a) 0.8 cm
b) 3.0 cm
c) 4.9 cm
d) 7.1 cm

Question 9

a) 100 cm
b) 12 cm
c) 1 mm
d) 9 in
e) 240 in
f) 1 ft

Question 10

1. $1:4$
2. $1:3$
3. $4:5$
4. $4:5$
5. $1:3$
6. $2:7$
7. $\frac{1}{3}$
8. $\frac{1}{6}$
9. $\frac{1}{3}$
10. $\frac{1}{4}$
11. $\frac{2}{5}$
12. $\frac{1}{9}$