Question

1) Trying different methods for solving a problem and becoming in the long run efficient in solving real life problems is called what?
A) optimization
B) use of heuristics
C) representation
D) reasoning and proof
2) the difference between the smallest and the largest observations in a data is called what?
A) deviation
B) range
C) mode
D) median
3) rohan is 26 years younger to his father.the father is 20 years younger to Rohan's grandfather.if sum of the three is 84 years,what is the age of the father?
A) 24 years
B) 26 years
C) 30 years
D) 50 years
4) sneha can complete a work in 36 days.rashmi can complete the same work in 24 days.if both work together,then they will be able to complete the work approximately in how many days?
A) 30 days
B) 26 days
C) 14 days
D) 18 days
5) the curved surface area of a right circular cone of base radius 5 cm and vertical height 12 cm is?
A) 270 sq cm
B) 720 sq cm
C) 282 6/7 sq cm
D) 204 2/7 sq cm
6) rama left her home for her hostel on the morning of 11.11.2015 and came back home at the night of 12.12.2016.for how many days was she remain away from home?
A) 396 days
B) 398 days
C)397 days
D) 395 days
7) which is not a fundamental educational principle of assessment of mathematics learning?
A) the content principle
B) the learning principle
C) the equity principle
D) the problem solving principle
8) observe the following closed-ended item:
4+6=?
On the basis of this closed-ended item,the open-ended item will be:
A) find the sum of 4 and 6
B) what should be added to 4 to get 10?
C) write any two positive integers whose sum is 10
D) what is the sun of 4 and 6
9) when a child is not able to read a key word or a symbol in a written problem to the extent hat this prevent him/her from proceeding further along an appropriate problem solving-path,this kind of error is called
A) encoding error
B) reading error
C) comprehension error
D) transformation error
10) The sequence of mathematics learning is
A) concrete-abstract-contextual
B) abstract-contextual-concrete
C) concrete-abstract-contextual
D) contextual-concrete-abstract

Answer 1

Solution: 1) option B is correct i.e., use of heuristics.

Explanation:

heuristic, means "to discover", describes a rule or a method that comes from experience and helps you think through things, like the process of elimination, or the process of trial and error.

Trying different methods for solving a problem and becoming in the long run efficient in solving real life problems is called use of heuristics.

2) Answer: option B is correct i.e., range.

Explanation:

The range of a set of data is the difference between the largest and smallest values.

3) Answer: option C is correct i.e., 30 years.

Explanation:

Let age of rohan be x years.

age of Rohan's father is x+26 years.

age of rohan's grandfather is (x+26)+20 = x+46 years.

it is given that

$x+(x+26)+(x+46)=84$

$3x+72=84$

$3x=84-72$

$3x=12$

$x=4$

So age of rohan's father is $x+26=4+26=30$ years.

4)Solution: correct answer is 14.4 days.

Explanation:

In one day Sneha does = 1/36 work

in one day Rashmi does = 1/24 work

In one day together they do = $\frac{1}{24} +\frac{1}{36} =\frac{5}{72}$

In one day together they do 5/72 of the work.

number of days they will complete the work =1 × 72/5 = 14.4 days.

5)Solution: option D is correct i.e.,  $204\frac{2}{7}$ sq cm

Explanation:

Given: base radius of of right cone is 5 cm

           vertical height of cone is 12 cm

as shown in fig.

slant height of cone = $\sqrt{ (5^2+12^2)}$

                                          = 13 cm

so, curved surface area of cone = $\pi rl$

                                                      = $\pi \times 5\times 13$

                                                      = $\frac{1430}{7}$

                                                      = $204\frac{2}{7}$ sq cm

so, option D is correct i.e.,  $204\frac{2}{7}$ sq cm.

6) Solution: option C is correct i.e., 397 days.

Explanation: number of days in 1 year and 31 days are 365+31=396

But as we know that 2016 is a leap year so no. of days in a leap year are 365+1=366.

so tatal number of days from 11.11.2015 to 12.12.2016 are 366+31=397.

7) Solution:  option C i.e., equality principle  is not a fundamental educational principle of assessment of mathematics learning.

Explanation: the content principle , learning principle  and the problem solving principle are fundamental educational principle of assessment of mathematics learning. So, option C is correct.

8) Solution: option C is correct i.e., write any two positive integers whose sum is 10.

Explanation:

open-ended question or problem are those which has more than one correct answer.

9) Answer is option C i.e., this kind of error is called comprehension error.

10) correct option is A i.e., concrete-abstract-contextual.

The sequence of mathematics learning is  concrete-abstract-contextual.

Answer 2

Answer:

1) Trying different methods for solving a problem and becoming in the long run efficient in solving real life problems is called what?

A) optimization

B) use of heuristics

C) representation

D) reasoning and proof

2) the difference between the smallest and the largest observations in a data is called what?

A) deviation

B) range

C) mode

D) median

3) rohan is 26 years younger to his father.the father is 20 years younger to Rohan's grandfather.if sum of the three is 84 years,what is the age of the father?

A) 24 years

B) 26 years

C) 30 years

D) 50 years

4) sneha can complete a work in 36 days.rashmi can complete the same work in 24 days.if both work together,then they will be able to complete the work approximately in how many days?

A) 30 days

B) 26 days

C) 14 days

D) 18 days

5) the curved surface area of a right circular cone of base radius 5 cm and vertical height 12 cm is?

A) 270 sq cm

B) 720 sq cm

C) 282 6/7 sq cm

D) 204 2/7 sq cm

6) rama left her home for her hostel on the morning of 11.11.2015 and came back home at the night of 12.12.2016.for how many days was she remain away from home?

A) 396 days

B) 398 days

C)397 days

D) 395 days

7) which is not a fundamental educational principle of assessment of mathematics learning?

A) the content principle

B) the learning principle

C) the equity principle

D) the problem solving principle

8) observe the following closed-ended item:

4+6=?

On the basis of this closed-ended item,the open-ended item will be:

A) find the sum of 4 and 6

B) what should be added to 4 to get 10?

C) write any two positive integers whose sum is 10

D) what is the sun of 4 and 6

9) when a child is not able to read a key word or a symbol in a written problem to the extent hat this prevent him/her from proceeding further along an appropriate problem solving-path,this kind of error is called

A) encoding error

B) reading error

C) comprehension error

D) transformation error

10) The sequence of mathematics learning is

A) concrete-abstract-contextual

B) abstract-contextual-concrete

C) concrete-abstract-contextual

D) contextual-concrete-abstract