pmr model test paper 1 set 1

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PMR Model Test Paper 1 SET 1 1 . 2 . 3 . 4 . 5 . The value of p in the equation is A. 10 C. 1000 B. 100 D. 10000 The figure shows four rectangles drawn on identical square grids. Among A, B, C and D, the smallest fraction of the rectangle which is shaded is 47, m, n, 61 are prime numbers arranged in ascending order. The value of m + n = A. 98 C. 108 B. 100 D. 112 Find the least common multiple of 4, 6 and 15 ? A. 60 C. 120 B. 90 D. 240 7 . 8 . 9 . Peter was shopping at the ground floor of a shopping complex. Then he used the lift to move up 12 floors to the eatery. He then moved 8 floors down from the eatery to see a friend and then moved 5 floors up to buy a pair of shoes. Which of the following , A, B, C or D is correct ? A PQR is the diameter of a circle and SQT is a straight line The value of x is A. 35 C. 45 B. 40 D. 50 In the diagram ABC is a straight line and AE=DE. The value of p + q is A. 100 C. 110 B. 105 D. 120

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Page 1: PMR Model Test Paper 1 Set 1

PMR Model Test Paper 1 SET 11.

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The value of p in the equation

is

A. 10 C. 1000 B. 100 D. 10000

The figure shows four rectangles drawn on identical square grids.

Among A, B, C and D, the smallest fraction of the rectangle which is shaded is

47, m, n, 61 are prime numbers arranged in ascending order. The value of m + n =A. 98 C. 108 B. 100 D. 112

Find the least common multiple of 4, 6 and 15 ?A. 60 C. 120B. 90 D. 240

Given that (x – 4) is the highest common factor of 36 dan 42, the value of x isA. 6 C. 12B. 10 D. 14

Given that the mean of a set of number 4,3,x,4,2,3,y is 6. The value of x + y isA. 26 C. 15B. 19 D. 10

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Peter was shopping at the ground floor of a shopping complex. Then he used the lift to move up 12 floors to the eatery. He then moved 8 floors down from the eatery to see a friend and then moved 5 floors up to buy a pair of shoes. Which of the following , A, B, C or D is correct ?

A

PQR is the diameter of a circle and SQT is a straight line The value of x isA. 35 C. 45B. 40 D. 50

In the diagram ABC is a straight line and AE=DE. The value of p + q isA. 100 C. 110 B. 105 D. 120

Page 2: PMR Model Test Paper 1 Set 1

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The diagram shows three squares drawn on identical square grids. Which of the following figures has more than one axis of symmetry ?A. II only C . II and III onlyB. I and II only D. I, II and I

In the diagram,LMN is a straight line. Given that ∟LJK = ∟JKL. The value of y isA. 20 C. 70B. 60 D. 80 In the diagram, EFG and HFI are straight lines. The value of p isA. 90 C. 120B. 110 D. 130

A. 90 C. 120B. 110 D. 130

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In the diagram, PQR and SQT are straight lines. The value of x isA. 40 C. 80B. 60 D. 100

A metal cuboid of sides 7 cm is melted to form a right prism as shown. The cross-section of the prism is a right-angled triangle. The height , t , of the prism, in cm ,isA. 24.5 C. 28.5B. 26 D. 30

In the diagram, PTQ is a semicircle with O as its centre. PQRS is a rectangle. Between A, B, C and D, which is the point of intersection of the two loci 3 cm from PQ and 6 cm from the point O ? B

Page 3: PMR Model Test Paper 1 Set 1

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The diagram shows a Cartesian.. If the mid-point of the lines MN and PQ is the same, the coordinates of the point Q isA. ( 1, 5 ) C. ( -3, 2)B. ( 0, 2 ) D. ( 0, 4 )

The median of the data 3, 4, 7, 3, 8 isA. 3 C. 5B. 4 D. 6

The pictograph shows the number of computers sold in a period of 3 months. Which of the following statements is true ?

January

February

March

A. The number of computers sold in January is 20.B. The lowest number of computers sold in a month is 3. C. The monthly sale in March exceeds the monthly sale in January by 5 computersD. The total number of computers sold for the 3 months is 14.

The frequency table shows the scores obtained in a competition.

Scores 0 1 2 3 4Frequency 1 0 x 8 3

If the mode of the data is 2, the possible value of x isA. 2 C. 7B. 3 D. 9

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FeeAdultsChildren

RM 5.00RM 2.50

The table shows the entry fees for each adult or child at a Book Fair. On a particular day, x adults and y children visited the Fair. If the total collection on that day is RM400, find an equation representing x and y variables.A. 2x + y = 160 B. 50x + 25y = 400C. 50x + 250y = 4000D. 20x + 25y = 1600

Given that x = -3 and y = 4, then 3x(y - 5x) =A. -140 C. -279B. -210 D. -282

In a quiz competition, a participant is required to answer 15 questions. 8 marks are awarded for each correct answer and 4 marks are deducted for each wrong answer. Ali answered 11 questions correctly, whereas Bakar managed to answer 9 questions correctly. Calculate the difference between the marks obtained by Ali and Bakar.A. 21 C. 48B. 24 D. 72

A Mathematics assessment begins at 8.30 a.m.The time allocated for the assessment is 1 hour 45 minutes. Asmah sat for the assessment and finished 25 minutes earlier. The time she finished the assessment isA. 9.25 a.m C. 9.50 a.mB. 9.45 a.m D. 10.00 a.m

Scores 0-25

26-50

51-75

76-100

Number of students 6 18 24 12

The frequency table shows the scores obtained in a test. Students who score from 76 – 100 marks are given excellent grade. The percentage of students who obtain excellent grade isA. 20% C. 30%B. 25% D. 35%

represents 5 computers

Page 4: PMR Model Test Paper 1 Set 1

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Shoes Price (RM) Discount(%)P 85.50 10Q 125.50 30R 175.00 50S 250.00 70

The table shows the price and discounts given for four types of shoes. The cheapest type of shoes after the discount isA. P C. RB. Q D. S

PQRS and RTUV are two squares with TU=6 cm and RQ=8 cm. Calculate the perimeter of the whole figure, in cmA. 42 C. 58B. 52 D. 60

Given that 3x – 2y =4 and 3x + y =7, the value of y = A. 6 C. 3B. 5 D. 1

The figure shows a triangle touching the circle at points L, M and N. The area of the shaded

portion, in cm , is. (Take π = )

A. 18 C. 38.5B. 21.5 D. 60

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In the figure, O is the centre of a circle. OURS is a rectangle and OUV is a straight line. The length OS = 16 cm is perpendicular to the chord RST. Given That RT = 24 cm, calculate the length UV, in cmA. 2 C. 8B. 6 D. 12

B(p, 5) is a mid-point of the points A(-4, -8) and C(6, 18). The value of p isA. 1 C. 5B. 2 D. 10

The number of marbles of Ahmad, Ben and Colin is in the ratio 2 : 5 : 8 . If Colin has 56 marbles, calculate the total number of marbles of the three boys.A. 75 C. 95B. 80 D. 105

The distance from town P to town R is 520 km. Silva drove a taxi and began his journey at 9.30 a.m. from town P to town R. If he arrived at town R at 4.00 p.m.on the same day, calculate the average speed of the journey, in km/h. A. 75 C. 80B. 78.5 D. 82.5

The table shows the rental rate charged by a car company for two models of Proton cars.

Model of carRental rate Wira WajaBasic rateRental(per km)

RM 8030 sen

RM 10038 sen

The rental rate charged is the total of the basic rate and the rate per km. Peter and Rashid travelled 800 km by a Wira and a Waja car respectively. Calculate the difference in the rental of the two models ?A. RM72 C. RM125B. RM84 D. RM320

Page 5: PMR Model Test Paper 1 Set 1

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Solve the linear inequality of5-x < 4x + 15 A. x > 2 C. x < -3B. x > -2 D. x < 3

The point ( 4, 7 ) satisfies the graph of functionA. y = 2x - 7 C. y = x + 4B. y = x - 9 D. y = 3x

Which of the following represents the graph of function y = 4x + 8 ? D

PQRS is a rhombus and PST is a triangle. If the area of triangle PST is 15 cm , calculate the area, in cm , of the whole figure.A. 10 C. 35B. 24 D. 48

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The diagram shows a right pyramid. PQRS is a rectangle with PR = 13 cm and QR = 5 cm. Given that VO = 16 cm . The volume of the pyramid, in cm , isA. 160 C. 300B. 240 D. 320

Wong draws the map of a trunk road by using a scale of 1 : 100000. If the actual distance of the trunk road is 3 km, calculate , in cm, the scale drawing of the map used.A. 0.3 C. 3B. 0.5 D. 5

Susan has a roll of ribbon of length 5.6 m. She used the ribbon to wrap 6 presents, each with the same length. Given that the remaining length of the ribbon not used is 110 cm. The length of the ribbon used to wrap each present, in cm, isA. 65 C. 70B. 68 D. 75

Page 6: PMR Model Test Paper 1 Set 1