Authentic Blended Learning (Maths)

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Objectives:
=========
1) To check & confirm understanding of milestone concepts
2) To effectively surface area of weakness for pinpointed coaching
3) To accelerate learning

(Teachers or Parents may help to explain but do not answer for the student for the reasons as stated in the above objectives.)

This is an extract from our 'Aladdin' & 'Dr Strange' set of quizzes, 5 questions each on whole numbers and fractions.

Email *

Section 1 : Whole Numbers

1) What is the value of 32 + 50 ÷ 2 - (7 + 12)? *

There are multiple answers for this question, select all relevant answers.

1 point

32 + 25 - 19

82 ÷ 7

82 ÷ 2 - 19

Required

2) There was an equal number of boys and girls at a carnival, each boy received 2 balloons while each girl received 3 balloons. A total of 900 balloons were given to all the children. How many boys were at the carnival?" *

What is the keyword(s) & what method would you use to solve this question?

2 points

Keyword(s):900 balloons, Method: Grouping

Keyword(s):900 balloons, Method: Modeling

Keyword(s): Equal Number, Method: Grouping, follow by ÷

Keyword(s): Equal Number, Method: Supposition

3) 3 apples and 4 mangoes cost $8.40. 1 apple and 2 mangoes cost $3.80. Find the cost of 1 mango. *

What is the method use to solve the following question .

1 point

Supposition

A+B method

Grouping

Modelling

4) Teacher Felix gave his pupils some sweets. If he gave 9 sweets to each pupil, he would have 6 sweets left. If he gave 11 sweets to each pupil, he would need another 4 sweets. *

What is the method use to solve the following question .

1 point

Supposition

Grouping

Lamp post question

Guess and check question

5) Dawn, John and Peter have $435 altogether. Dawn has $235. John has 3 times as much money as Peter. How much money does Peter have? *

What is the method use & solve the question .

1 point

Modelling , $50

Grouping , $150

Telling a story , $50

More or less , $150

Section 2: Fractions

6) Nicole buys 8/10 kg of lamb steak. She cooks 1/5 kg of lamb steak each day. How many days can the lamb steak last? *

1 point

7) Arrange the following fractions 2/5 , 3/11 , 2/3 and 1/5 in ascending order. Select the correct answer and the most efficient way to solve. *

0 points

1/5 , 2/5 , 2/3 , 3/11 using common denominator approach

1/5 , 3/11 , 2/5 , 2/3 using common numerator approach

1/5 , 2/5 , 2/3 , 3/11 using common numerator approach

1/5 , 3/11 , 2/5 , 2/3 using common denominator approach

8) 3/4 of the members of the school bands were girls. 3/4 of the girls wore spectacles. What fraction of the school band members wore spectacles assuming none of the boys wore spectacles? *

Select all relevant answers.

1 point

Fraction of boys that don't wear spectacles = 1/4

3/4 of girls wore spectacles mean 3/4 of 3u = 3/4 x 3/4 (since question ask for fraction) = 9/16 of school band wore spectacles

Out of 4u of school band members, 3u are girls.

3/4 of girls wore spectacles = 3/4 school band wore spectacles since no boys wore spectacles

Required

9) 2/5 of Susan's saving is equal to 3/7 of Alan's saving. Given that Alan has $120 less than Susan, how much money does Susan saved? *

Select all relevant answers.

1 point

2/5 = 3/7 make the numerators the same since they refer to same amount, 6/15 = 6/14

Susan's 17/35, Alan's 15/35, 17-15 = 2u = 120 so 1u = 60

Susan's saving = 35u = 35 x 60 = $2100

15 - 14 = 1u = 120, Susan's saving = 15u = 15 x 120 = $1800

Always make the denominator the same to + / - fractions so can use this approach find Susan's saved amount.

Required

10) 90 adults took part in a baking competition. 1/2 of the men and 1/4 of the women are shortlisted for next stage. The number of contestants shortlisted for the next stage is 25. How many men took part in the competition? *

What method would you use to solve this question & solve the question in 3 steps

1 point

Use common numerator method. Ans: 80

Use double fractions/branching method. Ans: 30

Use A+B method since both fractions 1/2 and 1/4 are part of different whole. Ans: 10

Use modelling to solve. Ans: 60

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