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Simple Speed Question: Determine the speed distance and time

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Mental Sum Practice 1

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Patterns P4

Interval Problems

Question 1 of 12

How many triangles are in the 1$^{st}$ 200 shapes?

$Question Image of How many triangles are in the 1$^{st}$ 200 shapes?.$

62 triangles

64 triangles

66 triangles

68 triangles

None of the above

Sorry. Please check the correct answer below.

Pattern repeats every 6 shapes.
In each group of 6 shapes, there are 2 triangles.
200 $\div$ 6 = 33 R2
33 $\times$ 2 = 66 triangles

View Correct Answer

66 triangles

You are Right

Pattern repeats every 6 shapes.
In each group of 6 shapes, there are 2 triangles.
200 $\div$ 6 = 33 R2
33 $\times$ 2 = 66 triangles

Every year around the Christmas period, Shaun and his church friends always go around carolling, at 7pm to 10pm each weekday night. If the group spends an hour for each house, inclusive of travelling time, and they started on Wednesday at 7pm, which day and at what time would they complete carolling for a street which contains 13 houses?

Tuesday @ 6pm

Tuesday @ 8pm

Wednesday @ 6pm

Wednesday @ 8pm

None of the above

Sorry. Please check the correct answer below.

View Correct Answer

Tuesday @ 8pm

You are Right

$Answer Image$

In the following sequence,
1,4,2,8,5,7,1,4,2,8,5,7,$\dots$
(a) What number is in the 50th position?
(b) What is the sum of the first 63 numbers?

(a) 1
(b) 271

(a) 2
(b) 273

(a) 3
(b) 275

(a) 4
(b) 277

None of the above

Sorry. Please check the correct answer below.

$Answer Image$

View Correct Answer

(a) 4
(b) 277

You are Right

$Answer Image$

In a particular year, 20$^{th}$ of March was on a Friday. On which day of the week was 12$^{th}$ of June the same year?

Thesday

Wednesday

Thirsday

Friday

None of the above

Sorry. Please check the correct answer below.

$Answer Image$

View Correct Answer

Friday

You are Right

$Answer Image$

What is the 87$^{th}$ shape in the following pattern?

$Question Image$

Box

Hart

Square

Circle

None of the above

Sorry. Please check the correct answer below.

Pattern repeats every 6 shapes. 87 $\div$ 6 = 14 R3
Thus, 87$^{th}$ shape is the square

View Correct Answer

Square

You are Right

Pattern repeats every 6 shapes. 87 $\div$ 6 = 14 R3
Thus, 87$^{th}$ shape is the square

Find the sum of the first 48 numbers in
13579135791357913579$\cdots$

234

236

238

240

None of the above

Sorry. Please check the correct answer below.

Pattern repeats every 5 numbers.
Sum of these 5 numbers =1+3+5+7+9=25
48 $\div$ 5 = 9R3
Sum of first 48 numbers = 9 $\times$ 25 + 1 + 3 + 5 = 234

View Correct Answer

234

You are Right

Pattern repeats every 5 numbers.
Sum of these 5 numbers =1+3+5+7+9=25
48 $\div$ 5 = 9R3
Sum of first 48 numbers = 9 $\times$ 25 + 1 + 3 + 5 = 234

In a particular year, 20$^{th}$ of March was on a Friday. On which day of the week was 12$^{th}$ of June the same year?

Thesday

Wednesday

Thirsday

Friday

None of the above

Sorry. Please check the correct answer below.

$Answer Image$

View Correct Answer

Friday

You are Right

$Answer Image$

Find the sum of the first 33 numbers in
25472825472825472825$\cdots$

151

152

153

154

None of the above

Sorry. Please check the correct answer below.

Pattern repeats every 6 shapes.
33 $\div$ 6 = 5 R3
Sum of first 33 digits = 5 $\times$ $(2 + 5 + 4 + 7 + 2 + 8)$ + 2 + 5 + 4
= 5 $\times$ 28 + 11 = 151

View Correct Answer

151

You are Right

Pattern repeats every 6 shapes.
33 $\div$ 6 = 5 R3
Sum of first 33 digits = 5 $\times$ $(2 + 5 + 4 + 7 + 2 + 8)$ + 2 + 5 + 4
= 5 $\times$ 28 + 11 = 151

1$^{st}$ of May 2008 was a Thursday. On which day of the week was 4$^{th}$ of July that year?

Friday

Saturday

Sunday

Monday

None of the above

Sorry. Please check the correct answer below.

$Answer Image$

View Correct Answer

Friday

You are Right

$Answer Image$

1st of April 2019 was a Monday. On which day of the week was 26th of April that year?

Thursday

Friday

Saturday

Sunday

None of the above

Sorry. Please check the correct answer below.

1$^{st}$ April to 26$^{th}$ April $\longrightarrow$ 25 days
25 $\div$ 7=3 R4 $\longrightarrow$ 3 weeks 4 days
3 weeks after Monday $\longrightarrow$ Monday
4 days after Monday $\longrightarrow$ Friday

View Correct Answer

Friday

You are Right

In which row and column is the number 200?

$Question Image$

Row 31 Column A

Row 33 Column A

Row 31 Column B

Row 33 Column B

None of the above

Sorry. Please check the correct answer below.

200 $\div$ 6 = 33 R2
Thus, 200 is in the 33$^{rd}$ row and in column B.

View Correct Answer

Row 33 Column B

You are Right

200 $\div$ 6 = 33 R2
Thus, 200 is in the 33$^{rd}$ row and in column B.

8 children passed a ball between each other in sequence. If they started at Child 1, which child has the ball after the 90 passes?

$Question Image$

Child 1

Child 2

Child 3

Child 4

None of the above

Sorry. Please check the correct answer below.

90 $\div$ 8 = 11 R2
2 children after ‘1’ $\longrightarrow$ child numbered ‘3’

View Correct Answer

Child 3

You are Right

90 $\div$ 8 = 11 R2
2 children after ‘1’ $\longrightarrow$ child numbered ‘3’

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