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Excess and Shortage

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Interval Problems

Question 1 of 13

If 5 students stay in a room of a youth hostel, 14 students will not have a room. If 7 students stay in a room, there will be 4 vacant rooms.
(a) How many rooms does the youth hostel have?
(b) How many students are staying at the youth hostel?

(a) 19
(b) 117

(a) 21
(b) 119

(a) 23
(b) 121

(a) 25
(b) 123

None of the above

Sorry. Please check the correct answer below.

Excess = 14 students
Shortage = 4 vacant students
= 4 $\times$ 7 students
= 28 students
Difference = 7- 5 = 2
Number of units $(rooms)$ = $\frac{(14 + 28)}{2}$
= $\frac{42}{2}$ = 21
(a) There are 21 hostel rooms.
21 – 4 = 17
17 $\times$ 7 = 119
(b) There are 119 students staying at the youth hostel.

View Correct Answer

(a) 21
(b) 119

You are Right

Michael walks to school every morning. If he walks at a speed of 60 metres per minute, she will be late for 5 minutes. If he speeds up to 75 metres per minute, he will reach the school 2 minutes before the bell rings. How far is the school from his house?

2000m

2100m

2200m

2300m

None of the above

Sorry. Please check the correct answer below.

View Correct Answer

2100m

You are Right

5min $\times$ 60m = 300m
2m $\times$ 75m = 150m
300 + 150 = 450
75 – 60 = 15
450 $\div$ 15 $\div$ 30
30min $\times$ 60 = 1800m
800m + 300m = 2100m
or
30min $\times$ 25 = 2250m
2250 – 150m = 2100m

Mary wants to give her stickers to her friends. If she gives each of them 10 stickers, she will be short of 30 stickers. If she gives each of them 8 stickers, she will be short of 6 stickers. How many friends did she have?

10 friends

12 friends

14 friends

16 friends

None of the above

Sorry. Please check the correct answer below.

$Answer Image$

View Correct Answer

12 friends

You are Right

$Answer Image$

After subtracting 104 from 6 times of a number A, the difference is 64 more than 4 times the value of that number A. Find the value of A.

None of the above

Sorry. Please check the correct answer below.

104 + 64 = 168
6 – 4 = 2
168 $\div$ 2 = 84
A = 84

View Correct Answer

You are Right

104 + 64 = 168
6 – 4 = 2
168 $\div$ 2 = 84
A = 84

A basket of apples is to be given out. If everyone gets 3 apples, there is an excess of 16 apples. If everyone gets 5 apples, the giver is shortage of 4 apples.
(a) How many people are sharing the apples?
(b) How many apples are in the basket?

7 people sharing the apples, 40 apples in the basket

8 people sharing the apples, 42 apples in the basket

9 people sharing the apples, 44 apples in the basket

10 people sharing the apples, 46 apples in the basket

None of the above

Sorry. Please check the correct answer below.

$Answer Image$

View Correct Answer

10 people sharing the apples, 46 apples in the basket

You are Right

$Answer Image$

Coach Shawn gave a bag of Mamee to the pupils in his class. If he gave 4 packets to each pupil, he would have 14 packets left. If he gave 5 packets to each pupil, he would need another 11 packets of Mamee. How many pupils did Coach Shawn have in his class?

None of the above

Sorry. Please check the correct answer below.

14 + 11 = 25
5 – 4 = 1
25 $\div$ 1 = 25

View Correct Answer

You are Right

14 + 11 = 25
5 – 4 = 1
25 $\div$ 1 = 25

Mabel has some seeds and flower pots. If she plants 13 seeds in each pot, she is short of 39 seeds. If she plants 9 seeds in each pot, she is short of 3 seeds.
(a) How many pots does Mabel have?
(b) How many seeds does she have altogether?

(a) 7 pots
(b) 76 seeds

(a) 9 pots
(b) 78 seeds

(a) 11 pots
(b) 80 seeds

(a) 13 pots
(b) 82 seeds

None of the above

Sorry. Please check the correct answer below.

39 – 3 = 36
13 – 9 = 4
36 $\div$ 4 = 9
(a) She has 9 pots
(b) 13 $\times$ 9 = 117
117 – 39 = 78
She has 78 seeds

View Correct Answer

(a) 9 pots
(b) 78 seeds

You are Right

39 – 3 = 36
13 – 9 = 4
36 $\div$ 4 = 9
(a) She has 9 pots
(b) 13 $\times$ 9 = 117
117 – 39 = 78
She has 78 seeds

Ronald had some money to buy some plastics files. If he bought 12 files, he would need \$8 more. If he bought 9 files, he would be left with \$5. How much money did Ronald have?

\$30

\$40

\$50

\$60

None of the above

Sorry. Please check the correct answer below.

\$8 + \$4 = \$12
12 – 9 = 3 files
\$12 $\div$ 3 = \$4
\$4 $\times$ 9 = \$36
\$36 + \$4 = \$40

View Correct Answer

\$40

You are Right

\$8 + \$4 = \$12
12 – 9 = 3 files
\$12 $\div$ 3 = \$4
\$4 $\times$ 9 = \$36
\$36 + \$4 = \$40

Josh had some 10¢ coins. He puts them into a stack of 19 coins each and found that one stack is short of 8 coins. When he arranged the coins so that there were 18 coins in each stack, he found he was left with three extra coins. Find the total value of all his coins.

\$19.05

\$19.10

\$20.05

\$20.10

None of the above

Sorry. Please check the correct answer below.

8 + 3 = 11
19 – 18 = 1
11 ÷ 1 = 11
There were 11 stacks of coins.
11 $\times$ 19 = 209
209 – 8 = 201 coins
201 $\times$ 104 = 2010 = \$20.10

View Correct Answer

\$20.10

You are Right

8 + 3 = 11
19 – 18 = 1
11 ÷ 1 = 11
There were 11 stacks of coins.
11 $\times$ 19 = 209
209 – 8 = 201 coins
201 $\times$ 104 = 2010 = \$20.10

A teacher has a bag of sweets. If each student is given 3 sweets, the remaining number of sweets is 30. If each student is given 4 sweets, the remaining number of sweets is 4 sweets.
(a) How many students are there?
(b) How many sweets does the teacher have?

22 students, 104 sweets

24 students, 106 sweets

26 students, 108 sweets

28 students, 110 sweets

None of the above

Sorry. Please check the correct answer below.

$Answer Image$

View Correct Answer

26 students, 108 sweets

You are Right

$Answer Image$

The students from Greenridge Primary School are going for a field trip. If each bus takes 35 students, 15 students will not get to board the bus. If each bus takes 5 more students, there will be one empty bus.
(a) How many buses does the school need to hire?
(b) How many students are going for the field trip?

(a) 4
(b) 250

(a) 6
(b) 300

(a) 8
(b) 350

(a) 10
(b) 400

None of the above

Sorry. Please check the correct answer below.

40 + 15 = 55
40 – 35 = 5
55 $\div$ 5 = 11
11 $\times$ 35 = 385
385 + 15 = 400
There were 400 pupils going on a field trip
(b) The school needs to hire 10 buses

View Correct Answer

(a) 10
(b) 400

You are Right

40 + 15 = 55
40 – 35 = 5
55 $\div$ 5 = 11
11 $\times$ 35 = 385
385 + 15 = 400
There were 400 pupils going on a field trip
(b) The school needs to hire 10 buses

Mrs Lim was preparing some red packets. If she put \$30 into each red packet, she would have extra \$20. If she put \$40 into each red packet, there will be a shortage of \$30. How many red packets was Mrs Lim preparing?

None of the above

Sorry. Please check the correct answer below.

\$20 + \$30 = \$50
\$40 – \$30 = \$10
\$50 $\div$ \$10 = 5
Mrs Lim was preparing 5 red packets.

View Correct Answer

You are Right

\$20 + \$30 = \$50
\$40 – \$30 = \$10
\$50 $\div$ \$10 = 5
Mrs Lim was preparing 5 red packets.

If each gift box in a store is sold at $80, the owner will make a profit of \$2700. If each gift box is sold at \$60 instead, he will make a profit of \$900.
(a) How many gift boxes are there?
(b) What is the cost price of each gift box?

(a) 70
(b) \$40

(a) 80
(b) \$45

(a) 90
(b) \$50

(a) 100
(b) \$55

None of the above

Sorry. Please check the correct answer below.

\$2700 - \$900 = \$1800
\$80 - \$60 = \$20
\$1800 $\div$ \$20 = 90
There are 90 gift boxes
(b) \$900 $\div$ 90 = \$10
\$60 – 10 = \$50
The cost of each gift box is \$50

View Correct Answer

(a) 90
(b) \$50

You are Right

\$2700 - \$900 = \$1800
\$80 - \$60 = \$20
\$1800 $\div$ \$20 = 90
There are 90 gift boxes
(b) \$900 $\div$ 90 = \$10
\$60 – 10 = \$50
The cost of each gift box is \$50

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