SUB: MATHEMATICS
Ratio, Proportion and Measurement
Name : …………………...…..… Roll no. : ……… Grade 6……….Date :………..
Section A:
Choose the correct option from the following
1)If 500 g of fruit is needed to make a fruit crumble for four people, then 250 g would be enough for just two people.
A) True
B) False
2)In a group of 10 diners in a restaurant, 5 are vegetarians. As a proportion of the whole group, half are vegetarians.
A) True
B) False
3)What does the abbreviation km stand for?
A)kilogram
B)kilo mile
C)kilometer
D)kiloliter
4)A shopkeeper has increased his orders for The Times newspaper (from 20 copies to 60 copies) and The Guardian (from 25 copies to 75 copies). In what proportion has he increased his order?
A) × 3
B) × 4
C) × 5
5)Which of these statements is incorrect?
A) 1 000 mm = 1 m
B) 100 mm = 1 cm
C) 100 cm = 1 m
D) 1 000 m = 1 km
6)A cake recipe calls for 3 cups of flour and ½ teaspoon of baking powder. What proportions of flour and baking powder will I need to make half the quantity?
A) 6 cups flour and 1 tsp. baking powder
B) 1½ cups flour and ¼ tsp. baking powder
C) ¼ cup flour and 1½ tsp. baking powder
7)What is the length of this bolt in mm?
A) 15 mm
B) 5 mm
C) 20 mm
D) 15 cm
8)A machine makes 12 articles in an hour. How many articles can it make in 6 hours?
A) 72
B) 36
C) 144
9)If a class has 10 girls and 15 boys what is the proportion of girls to boys?
A) 3 girls to 2 boys
B) 2 girls to 3 boys
C) 5 girls to 6 boys
10)What is 0.75km in meters?
A) 75 m
B) 750 m
C) 7500 m
D) 7.5
11)Jo used a map with a scale of 1 cm to 10 km to plan her trip. The first stage was 13 cm and the next was 17cm. So she travelled:
A) 3 km
B) 30 km
C) 300 km
D) None of them
12)The distance between two towns is 35km. On a map this distance measures 7cm. The map scale is------
A) 7cm = 1km
B) 1 km = 5 cm
C) 1 cm = 5 km
D) 5km = 7cm
13)Four lengths of material measure 2.08 meters, 20.8 meters, 2.8 meters and 8.02 meters. Which is the shortest length of material?
A)2.08 m
B)20.8 m
C)2.8 m
D)8.02m
Section B:1)
How much liquid is there? ------How much more is needed to fill the container? ------
/ What is the weight? ------
What is the weight? ------
/ What is the weight? ------
2) Convert each of the following metric measurements.
1) 365 kg = ------g / 3) 42 cm = ------m / 5) 350 ml =------liters2) 5 m =------mm / 4) 900 m =------km / 6) 4.25 cm = ------mm
3) Simplify following
1)25: 30 =2) 12: 21 = 3) 45: 54 =
4) Find missing values using proportion.
1)2:5=4:
2)3:4= : 12
3) :3 = 5 : 15
4)6: = 18: 21
Section 3:
1)While driving, Mac sees a sign that says 123 kilometers to a diner. How many meters is it to the diner?
2)A group of preschoolers has 5 boys and 34 girls. What is the ratio of girls to all children?
3)The ratio of girls to boys in the 6th grade is 6 to 7. How many girls are there if there are 364 total students?
4)If 4 T-shirts cost $15, how much will 12 T-shirts cost?
5)Harry is two kilometers away from Gary. If Gary had travelled seven hundred meters towards Harry, how many meters more does Harry need to travel to get to Gary?
6)Lois wants to send a box of oranges to a friend by mail. The box of oranges cannot exceed a mass of 10 kg. If each orange has a mass of 200g, what is the maximum number she can send?
7)Jill bought items costing $3.45, $1.99, $6.59, and $12.98. She used a coupon worth $2.50. If Jill had $50.00 when she went into the store, how much did she have when she left?
HOT:
1)A doctor orders 0.5 grams of medication. The label on the bottle reads 125 mg/tablet. How many tablets will you give?
2)Mark drove for 1/2 of the trip, and Justin drove for 1/4 of the trip. Gina and Kaitlyn divided the rest of the driving evenly between them. If the entire trip was 128 kilometers, how many kilometers did Kaitlyn drive?