Problem 1 :
What is the remainder when 125 is divided by 7 ?
(A) 2 (B) 3 (C) 4 (D) 6
Problem 2 :
Students in cherry wood school are getting into groups for a field trip. There are 312 students in the school and they are told to get into groups of eight. How many groups will there be ?
(A) 26 (B) 39 (C) 42 (D) 64
Problem 3 :
What is 3.25×105 in standard form ?
(A) 3.2500000 (B) 325001000
(C) 32500 (D) 325000
Problem 4 :
What is 2.1×103 in standard form ?
(A) 2100 (B) 2.1000 (C) 210000 (D) 210000
Problem 5 :
What is 3400519 rounded to the nearest hundred ?
(A) 3400000 (B) 3400520
(C) 3400500 (D) 3000000
Problem 6 :
Complete the sentence. These two shapes are ?
(A) Identical (B) Congruent
(C) Similar (D) Parallelogram
Problem 7 :
What is the name of the line drawn in the circle ?
(A) Radius (B) Chord (C) Center (D) Diameter
Problem 8 :
How many vertices are there in a square based pyramid ?
(A) 4 (B) 5 (C) 6 (D) 8
Problem 9 :
How many sides in a heptagon ?
(A) 4 (B) 5 (C) 6 (D) 7
Problem 10 :
300 mm = m ?
(A) 30 (B) 0.3 (C) 3000 (D) 3
Problem 11 :
The fourth-grade classes at a school made flowers to decorate the cafeteria. There are 5 fourth-grade classes at this school.
How many flowers did each fourth-grade class make?
A) 75 B) 15 C) 240 D) 17
Problem 12 :
Angle SRT has a measure of 35°. Angle TRV has a measure of 65°.
What is the measure in degrees of angle SRV?
A) 30° B) 110° C) 90° D) 100°
Problem 13 :
Point J is shown on the number line.
Which number does point J represent?
A) 8.02 B) 8.2 C) 7.12 D) 7.13
Problem 14 :
A store sells bags of potato chips.
Which statement is true?
A) More than 1/2 of the bags are plain chips.
B) There are no bags of plain chips.
C) Exactly 1/2 of the bags are plain chips.
D) Less than 1/2 of the bags are plain chips.
Problem 15 :
A rectangle has a perimeter of 40 centimeters and an area of 64 square centimeters. Which model could represent this rectangle?
(1) Solution :
The solution below uses the Long division with remainder method,
Start by setting the divisor 7 on the left side,
and the dividend 125 on the right side.
So, 125 is divided by 7 ,
Quotient = 17
Remainder = 6
Therefore, the remainder is 6.
(2) Solution :
Given,
Total number of students = 312
Every group consist of 8 students.
To find number of groups,
Number of groups = Total students/Number of students in each group
= 312/8
= 39
So, the required number of groups is 39.
(3) Solution :
Given,
= 3.25×105
Since we have positive exponent, we will move the decimal 5 digits to the right side.
= 325000.
So, the answer is 325000.
(4) Solution :
Given,
= 2.1×103
Since we have positive exponent, we will move the decimal 3 digits to the right side.
= 2100
So, the answer is 2100.
(5) Solution :
In the given number 3400519, the hundreds place is 5.
The next digit of 5 is 1 which is less than 5. So, We may round it as 5.
So, the answer is 3400500
(6) Solution :
By observing the picture, the corresponding sides are in the same ratio. So they are similar shapes.
(7) Solution :
The distance between the center and point on the the circle is known as radius.
The line that connects any two points on the circle is known as chord.
If the line that connects two points on the circle and pass through the center is known as diameter.
So, the required line is chord.
(8) Solution :
There are 5 vertices in a square-based pyramid.
(9) Solution :
Heptagon is a polygon. There are 7 sides in a heptagon.
(10) Solution :
We know that, 1m = 1000 mm
= 300/1000
= 3/10
= 0.3m
So, 300mm = 0.3m
(11) Solution :
Total number of sheets used = 300
Number of flower to make each flower = 4
Number of flowers made = 300/4
= 75
Number of fourth grade in the school = 5
each grade can make = 75/5
= 15
So, option B is correct.
(12) Solution :
∠SRV = ∠SRT + ∠TRV
= 35 + 65
= 100°
(13) Solution :
In between two consecutive numbers, we see 10 equal parts.
1/10 = 0.1
So, the answer is 8 + 0.2
= 8.02
Option A is correct.
(14) Solution :
A store sells bags of potato chips.
Number of bags of barbecue-flavored chips = 1/3
= 0.3 (total number of bags)
Number of bags of barbecue-flavored chips = 3/5
= 0.6 (total number of bags)
Rest of the bags = 0.1(total number of bags)
Let us assume total number of bags = 50
Then comparing
0.3(50), 0.6(50) and 0.1(50)
Option D is correct.
Option A :
Perimeter of rectangle = 2(32 + 2)
= 2(34)
= 68 cm
Area of rectangle = 32 x 2
= 64 cm2
Option B :
Perimeter of rectangle = 2(16 + 4)
= 2(20)
= 40 cm
Area of rectangle = 16 x 4
= 64 cm2
So, option B is correct.
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