Below are the 2004 Grade 4 MTAP Elimination questions with solutions/answers (numbers 26 – 50). You can read items 1 – 25 here. Although these are old questions, you can still use them as reviewer since the coverage of the quiz has not changed. I have written the solution to relatively hard problems, but I leave the easy ones to the coach and the student.

Note that even though reasonable care was given to the accuracy of the solutions, the solver is only human. Please use the comment box if you see any errors.

26.) 6 2/3 is equal to how many thirds?

27.) Change 8 7/12 to an improper fraction.

28.) Change 128/11 to a mixed number.

29.Which is greater, 11/13 or 16/19 ?

30.) Reduce 54/72 to lowest terms.

31.) Nita bought $4 \frac{2}{3}$ m of blue cloth and $5 \frac{3}{4}$m of white cloth. How many meters of cloth did Nita buy?
Answer: $10 \frac{5}{12}$

32.) Nita used $3 \frac{1}{3}$ m of white cloth to make blouses. How much white cloth remained?
Answer: $10 \frac{5}{12} - 3 \frac{4}{12} = 7 \frac{1}{12}$

33.) In a school, there are 230 Grade 4 students. If 3/5 of the Grade 4 students are girls, how many Grade 4 boys are there?

34.) There are 12 red balls, 9 blue balls and 14 white balls in a box. What is the ratio of the red balls to all the balls?

35.) Mother bought 4 mangoes for ₱38. At the same rate, how much will a dozen and a half of the mangoes cost?

36.) If 4 : 5 = 32 : n, what is n?

37.) Sally got 95, 92, 96, 94, 95 and 90 on six math tests. What was her average
score on the six tests?

38.) For an hour of a particular TV show, 6 commercials, each averaging 0.3 minute are shown five times during the hour. During an hour of the show, how much time is given to commercials?
Answer: 6 commercials 0.3 minutes/commercial × 5 = 9 minutes

39.) Mr. Manuel owns a rectangular lot that is 32 m long and 22 m wide. How many meters of fencing material does he need for it?
Answer: 2 × 32 + 4 × 22 = 108

40.) A path 12 m long and 1.5 m wide is to be paved. If a bag of cement covers 4 m2, how many bags of cement must be bought?
Solution: The area of the path is 12 × 1.5 = 18 sq. m. Dividing 18 by 4, we get 4.5

41.) A square garden has a perimeter of 56 m. What is its area?

42.) A tank is 12 dm long, 8 dm wide and 10 dm deep. If $1 dm^3$ = 1 liter, how many liters of water does the tank contain when full?

43.) What is the perimeter of the figure?

Answer: 15m + 48m + 32m + 20m + 17m + 28m = 160m

44.) There are 44 students in a class. One stormy day 25% of them were absent.
How many were present?

45.) Rose made a circle graph of how she spends one day. If she studies 3 hours a day, how many degrees will represent study?

Solution: There are 24 hours a day and Rose studies 3/24. A circle has 360 degrees, so
$\frac{3}{24} \times 360 = 135$

46.) How many numbers from 40 to 70 contain the digit 5?
Answer: 12 (that includes 45, 50-59, and 65)

47.) There are 975 students in a school. If 2/5 of them take a school bus, 25 less than 1/5 of them come by private car and the rest take public transportation, how many take public transportation?

Solution

There are 2/5 × 975 = 390 students who take the school bus.
There are 1/5 × 975 – 25 = 195 – 25 = 170 who have private cars.
So, There are 975 – 390 – 170 = 415 students who take public transportation.

48.) Aida made 12 more sampaguita garlands than Anna. Together, they made 160 garlands. How many did Aida make?

Solution: We subtract 12 from the total number of garlands and the would have made equal number of garlands. So, 160 – 12 = 148 and 148/2 = 74.

49.) Nita has ₱78.50; Rosa has twenty pesos less than twice as much. How much money do the two girls have together?

Solution

Rosa has 2 × 78.50 – 20 = 157 – 20 = 147
Combining their money we have 147 + 78.50 = 225.50