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Interval Problems

Question 1 of 12

The circumference of a circular garden is 30 m. A red flag is planted at fixed intervals of 3 m. A blue flag is planted between every 2 red flags. How many flags were planted altogether?

15 flags

20 flags

25 flags

30 flags

None of the above

Sorry. Please check the correct answer below.

30 $\div$ 3 = 10 intervals $\longrightarrow$ 10 red flags
10 $\times$ 1 – 10 blue flags
10 + 10 = 20 flags, were planted

View Correct Answer

20 flags

You are Right

30 $\div$ 3 = 10 intervals $\longrightarrow$ 10 red flags
10 $\times$ 1 – 10 blue flags
10 + 10 = 20 flags, were planted

Uncle Tony took four and a half minutes to cycle from the first lamppost to the 10$^{th}$ lamppost. Which lamppost would he have cycled pass after another 9 minutes?

26$^{th}$ lamppost

28$^{th}$ lamppost

30$^{th}$ lamppost

32$^{nd}$ lamppost

None of the above

Sorry. Please check the correct answer below.

1$^{st}$ to 10$^{th}$ lamppost $\longrightarrow$ 9 intervals
9 intervals $\longrightarrow$ 4.5 mins
1 interval $\longrightarrow$ 4.5 $\div$ 9 = 0.5 mins
1 min $\longrightarrow$ 1 $\times$ 2 = intervals
9 min $\longrightarrow$ 2 $\times$ 9 = 18 intervals
10 + 18 = 28$^{th}$ lamppost

Flags are planted along a bridge at 5-metre intervals, including both ends. Find the length of the bridge if 20 flags are planted in all.

93m

95m

97m

99m

None of the above

Sorry. Please check the correct answer below.

20 – 1 = 19 intervals
19 $\times$ 5 = 95m

View Correct Answer

95m

You are Right

20 – 1 = 19 intervals
19 $\times$ 5 = 95m

Maxine and Alia were running up a staircase, at constant speeds. When Alia was at the 7$^{th}$ floor, Maxine just arrived on the 4$^{rd}$ floor. On which floor will Maxine be when Alia reaches the 13$^{th}$ floor?

6$^{th}$ floor

7$^{th}$ floor

8$^{th}$ floor

9$^{th}$ floor

None of the above

Sorry. Please check the correct answer below.

1$^{st}$ to 7$^{th}$ floor $\longrightarrow$ 6 intervals
1$^{st}$ to 4$^{th}$ floor $\longrightarrow$ 3 intervals
Thus, Alia was twice as fast as Maxine.
1$^{st}$ to 13$^{th}$ floor $\longrightarrow$ 12 intervals
12 $\div$ 2 = 6 intervals
6 intervals $\longrightarrow$ 1$^{st}$ to 7$^{th}$ floor
Ans: 7$^{th}$ floor

View Correct Answer

7$^{th}$ floor

You are Right

A grandfather clock chimes 3 times in 4 seconds. How many seconds will it take to chime 10 times?

12 seconds

14 seconds

16 seconds

18 seconds

None of the above

Sorry. Please check the correct answer below.

3 times, 2 intervals.
1 interval $\longrightarrow$ 4 $\div$ 2 = 2 seconds
10 times, 9 intervals
9 intervals $\longrightarrow$ 2 $\times$ 9 = 18 seconds

View Correct Answer

18 seconds

You are Right

3 times, 2 intervals.
1 interval $\longrightarrow$ 4 $\div$ 2 = 2 seconds
10 times, 9 intervals
9 intervals $\longrightarrow$ 2 $\times$ 9 = 18 seconds

21 students queued in a row. The distance between every 2 students was 30 cm. How long is the queue in metres?

12m

None of the above

Sorry. Please check the correct answer below.

21 – 1 = 20 intervals
20 $\times$ 30 = 6m

View Correct Answer

You are Right

21 – 1 = 20 intervals
20 $\times$ 30 = 6m

Jackson’s school’s compound is in the shape of a rectangle with length 140 m and breadth 112m. An oak tree is planted at 7-metre intervals. There are 2 pinewood trees between every 2 oak trees. Were there more pinewood or oak trees and by how many more?

pinewood, 73 more

pinewood, 76 more

pinewood, 79 more

pinewood, 80 more

None of the above

Sorry. Please check the correct answer below.

$Answer Image$

View Correct Answer

pinewood, 76 more

You are Right

$Answer Image$

60 pots of flowers line a square pond at 4-metre intervals. Find the length of one side of the pond.

20m

40m

60m

80m

None of the above

Sorry. Please check the correct answer below.

$Answer Image$

View Correct Answer

60m

You are Right

$Answer Image$

Marcus was exercising at 15-minute intervals, during which he would run, swim and do push-ups. He did his first set of intervals at 6:30 pm and planned to do a total of 7 sets. What time would he be completing all 7 sets, if he took a break of 5 minutes between each set?

7:45pm

7:50pm

8:45pm

8:50pm

None of the above

Sorry. Please check the correct answer below.

15 + 5 = 20 minutes
20 $\times$ 6 = 135 minutes
= 2h 15 minutes
2h 15 minutes 1fter 6:30pm = 8:45pm

View Correct Answer

8:45pm

You are Right

15 + 5 = 20 minutes
20 $\times$ 6 = 135 minutes
= 2h 15 minutes
2h 15 minutes 1fter 6:30pm = 8:45pm

It took Uncle Jim 30 minutes to drive from the first exit to the 6$^{th}$ exit of an expressway. The exits of that expressway were spaced apart equally. Which exit would he have passed by after one hour?

11$^{th}$ exit

12$^{th}$ exit

13$^{th}$ exit

14$^{th}$ exit

None of the above

Sorry. Please check the correct answer below.

1$^{st}$ to 6$^{th}$ exit $\longrightarrow$ 5 intervals
5 intervals $\longrightarrow$ 30 mins
1 interval $\longrightarrow$ 30 $\div$ 5 – 6 mins
60 $\div$ 6 = 10 intervals
1 + 10 = 11$^{th}$ exit

View Correct Answer

11$^{th}$ exit

You are Right

1$^{st}$ to 6$^{th}$ exit $\longrightarrow$ 5 intervals
5 intervals $\longrightarrow$ 30 mins
1 interval $\longrightarrow$ 30 $\div$ 5 – 6 mins
60 $\div$ 6 = 10 intervals
1 + 10 = 11$^{th}$ exit

Charmaine used some pebbles to form a square. There is a total of 16 pebbles on each side of the square. How many pebbles did she use altogether?

58m

59m

60m

61m

None of the above

Sorry. Please check the correct answer below.

$Answer Image$

View Correct Answer

60m

You are Right

$Answer Image$

There is a total of 72 students in the school hall. They form up into 9 equal rows. The distance between every 2 soldiers is 25 cm. How long is each row in metres?

1.25m

1.5m

1.75m

2.00m

None of the above

Sorry. Please check the correct answer below.

72 $\div$ 9 = 8 soldiers
8 – 7 = 7 intervals
7 $\times$ 25 = 175 cm
1.75m

View Correct Answer

1.75m

You are Right

72 $\div$ 9 = 8 soldiers
8 – 7 = 7 intervals
7 $\times$ 25 = 175 cm
1.75m

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