Mathematics Diagnostic Tests

The Mathematics Diagnostic Tests by PLS Academy are designed to help students evaluate their preparation for entry tests, FSC exams, ECAT, NUST NET, and NTS exams. These tests cover key topics in algebra, calculus, trigonometry, geometry, and statistics, allowing students to identify strengths, weaknesses, and areas that require improvement. Detailed feedback after each test helps aspirants focus on weak concepts, enhance problem-solving skills, and plan targeted revision. Whether preparing for ECAT, NUST NET, NTS, or FSC Mathematics, these diagnostic tests enable students to track progress, strengthen skills, and optimize their preparation strategy to achieve top scores.

259

Created by PLS Academy

Mathematics Diagnostic Test

Topic: Mathematics Diagnostic Test

Quiz Contains: 20 MCQs

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1 / 20

If A(-1,h), B(3,2) and C(7,3) are collinear, then h =?

-1

None of these

2 / 20

47. If the discriminant is negative, then the roots are:

(a) Real & distinct

(b) Imaginary & distinct

(d) Irrational and distinct

3 / 20

if y=a^x then y_n is equal to (where a>0,xxER)

a^x.Ina

a^nx.lna

a^x(lna)^n

a^nx(lna)^n

4 / 20

For an identity cot⁴+ cot²0 = cosec+0 – cosec⁴0, is:

2π

π /2

Non of these

5 / 20

6 / 20

If h² and higher powers of ‘h’ are neglected then √1+2h/1-h

1-3/2h

1+3/2h

1-2/3h

1+2/3h

7 / 20

8 / 20

sin 15=?

√3 – 1 / 2√2

√3+1 / 2√2

√3 +1 / 2

√3 – 1 / 2

9 / 20

If cos x=-1 then solution set is

{pi}

{pi+npi}

{pi+2npi, n€Z}

None of these

10 / 20

360 students study at a school where 248 students study Turkish, 126 study Arabic, and 18 study neither. How many students study both Arabic and Turkish?

11 / 20

Derivation of x3 w.r.t x2 is:

3x^2

None of these

12 / 20

Sin^-1 (-x) =…….

– Sin-1x

Sin-¹ x

π – Sin-1 x

π – Sin x

13 / 20

In any triangle ABC, with usual notation, which one of them is not true

∆ = 1/2 ab sinγ

∆ =1/2 bc sinα

∆ =1/2 α sin β γ/sin α

∆2 =s (s a)(s b)(s c)

14 / 20

The probability that a leap year selected at random will contain 53 sundays, is:

3/7

1/7

2/7

15 / 20

16 / 20

If the line segment obtained by joining any two points of a region lies entirely within the region is called:

Concave

Convex

Both A and B

None

17 / 20

If (|r|<1) then, (S_n =)

(frac{a_1 (1 – r^n)}{1-r})

(frac{a_1 (r^n – 1)}{1-r})

(frac{a_1 (r^n – 1)}{r-1})

(frac{a_1 (1 – r^n)}{r-1})

18 / 20

What will be the volume of parallelepiped represented by the vectors u = 9i – 5j, v = 6i – 7j + k, w = i – k?

19 / 20

2 sin² [a/2]=

1+cos a

1- cos a

1+sin a

1- sin a

20 / 20

The conic ax²+2hxy+by+2gx+2fy+c=0 never represent a circle if:

a ≠ b. h ≠ 0

h ≠ 0

a=b

h = 0

Your score is

Pos.	Name	Score	Duration
1	Anonymous	100 %	48 seconds
2	Muhammad Awais	100 %	51 seconds
3	Saad Khan	100 %	54 seconds
4	Shaista	100 %	55 seconds
5	osaid	100 %	2 minutes 41 seconds
6	ibraheem	95 %	50 seconds
7	Dawood	95 %	52 seconds
8	NONE	95 %	52 seconds
9	abdullah umar	95 %	56 seconds
10	Saad	95 %	1 minutes 1 seconds
11	abdullah umar	95 %	1 minutes 12 seconds
12	Jawad	95 %	1 minutes 26 seconds
13	NONE\	90 %	51 seconds
14	NONE	90 %	56 seconds
15	Muhammad Awais	90 %	1 minutes 6 seconds
16	12345	90 %	1 minutes 11 seconds
17	Bilal	90 %	1 minutes 30 seconds
18	ibraheem	90 %	1 minutes 34 seconds
19	Taha	90 %	1 minutes 56 seconds
20	urwah	90 %	2 minutes 14 seconds
21	sddc	90 %	2 minutes 32 seconds
22	Ahmed Nafees	90 %	4 minutes 20 seconds
23	Maham	90 %	5 minutes 16 seconds
24	Dawood	85 %	1 minutes 10 seconds
25	Arib	85 %	1 minutes 20 seconds
26	Hello 2	85 %	1 minutes 23 seconds
27	sadi	85 %	1 minutes 47 seconds
28	nelson	85 %	1 minutes 56 seconds
29	Mudasir bangash	85 %	2 minutes 20 seconds
30	Saeed	85 %	2 minutes 46 seconds
31	dawood	80 %	1 minutes
32	RIDWAN	80 %	1 minutes 13 seconds
33	N	80 %	1 minutes 39 seconds
34	Talha	80 %	1 minutes 49 seconds
35	Najeeb Ahmed	80 %	1 minutes 52 seconds
36	Saif	75 %	57 seconds
37	urwah	75 %	1 minutes 31 seconds
38	Hi	75 %	1 minutes 37 seconds
39	Ahmad	75 %	1 minutes 38 seconds
40	NOONE	75 %	1 minutes 40 seconds
41	rida	75 %	1 minutes 47 seconds
42	Nimra	75 %	1 minutes 54 seconds
43	Ahmad faiz khan	75 %	2 minutes 21 seconds
44	Muhammmad yahya	75 %	2 minutes 26 seconds
45	ma	75 %	2 minutes 47 seconds
46	Muhammad Awais	75 %	3 minutes 5 seconds
47	Yasir	75 %	6 minutes 16 seconds
48	raomohib	75 %	31 minutes 2 seconds
49	uzair	75 %	34 minutes 30 seconds
50	Hhh	70 %	1 minutes 37 seconds
51	amna	70 %	1 minutes 41 seconds
52	Abdullah umar	70 %	1 minutes 58 seconds
53	Muhammad Essa Mahar	70 %	2 minutes 18 seconds
54	anand	70 %	3 minutes 5 seconds
55	mm alam	70 %	3 minutes 11 seconds
56	fjwkjsj	70 %	10 minutes 28 seconds
57	Muhammad Maaz khan	70 %	17 minutes 40 seconds
58	Jibrail	65 %	1 minutes 17 seconds
59	Noor	65 %	1 minutes 30 seconds
60	david	65 %	1 minutes 30 seconds
61	Muaz Rana	65 %	1 minutes 53 seconds
62	Adil	65 %	2 minutes 13 seconds
63	Hello	65 %	2 minutes 23 seconds
64	Tanoli Bilal	65 %	2 minutes 28 seconds
65	Abid ur Rahman	65 %	5 minutes 29 seconds
66	Ubaidullah	65 %	7 minutes 13 seconds
67	Azan	60 %	1 minutes 35 seconds
68	R	60 %	1 minutes 42 seconds
69	Sadia	60 %	2 minutes 21 seconds
70	Miqdam Haider	60 %	2 minutes 31 seconds
71	Azwa mudassar	60 %	4 minutes 59 seconds
72	Ibraheem	60 %	13 minutes 11 seconds
73	ggg	60 %	18 minutes 13 seconds
74	fatima	60 %	20 minutes 21 seconds
75	Asfg	60 %	22 minutes 59 seconds
76	op bolty	60 %	36 minutes 57 seconds
77	Nimra	60 %	50 minutes 28 seconds
78	Ayla Saeed	60 %	55 minutes 29 seconds
79	Ahmad Hassan	55 %	3 minutes 35 seconds
80	Ubaid	55 %	5 minutes 16 seconds
81	Mudasir Jamal	55 %	7 minutes 29 seconds
82	Soem	55 %	8 minutes 46 seconds
83	Muhammad Hamid	55 %	11 minutes 17 seconds
84	Taha	55 %	13 minutes 20 seconds
85	Mee	55 %	17 minutes 49 seconds
86	nemo	55 %	20 minutes 10 seconds
87	None	55 %	25 minutes 16 seconds
88	Maham	55 %	26 minutes 14 seconds
89	Uzair	55 %	28 minutes 36 seconds
90	Abdullah	55 %	41 minutes 29 seconds
91	nelson	55 %	3 hours 35 minutes 50 seconds
92	Noor	50 %	1 minutes 41 seconds
93	Hafsa	50 %	2 minutes 49 seconds
94	Zubaida	50 %	4 minutes 52 seconds
95	Ehsan shah	50 %	5 minutes 6 seconds
96	Safi	50 %	5 minutes 51 seconds
97	As	50 %	6 minutes 17 seconds
98	Sheraz	50 %	6 minutes 24 seconds
99	Iraj	50 %	7 minutes
100	rida	50 %	8 minutes 21 seconds
101	M Miqdam Haider	50 %	8 minutes 36 seconds
102	Mari	50 %	9 minutes 47 seconds
103	sadia	50 %	9 minutes 59 seconds
104	Najeeb Ahmed	50 %	10 minutes 36 seconds
105	Talha Bhatti	50 %	13 minutes 50 seconds
106	osaid	50 %	52 minutes 56 seconds
107	Dawood	45 %	27 seconds
108	GHULAM	45 %	1 minutes 58 seconds
109	Usama	45 %	2 minutes 5 seconds
110	iufudfud	45 %	2 minutes 9 seconds
111	Saif khan	45 %	2 minutes 56 seconds
112	Dileep	45 %	3 minutes 28 seconds
113	amna	45 %	3 minutes 47 seconds
114	..	45 %	4 minutes 20 seconds
115	Muaz Rana	45 %	6 minutes 14 seconds
116	Muhammmad yahya	45 %	6 minutes 22 seconds
117	Ahmad	45 %	7 minutes 34 seconds
118	Muhammad Ali	45 %	7 minutes 52 seconds
119	Jawad	45 %	8 minutes 33 seconds
120	NONE OF YOU CONCERN	45 %	8 minutes 36 seconds
121	hi	45 %	9 minutes 5 seconds
122	Haroon	45 %	14 minutes 19 seconds
123	Raj rathi	45 %	17 minutes 17 seconds
124	anand	45 %	17 minutes 35 seconds
125	Hafeezullah	45 %	21 minutes 49 seconds
126	Adnanh	45 %	59 minutes 58 seconds
127	Hamza Jadoon	45 %	1 hours 2 minutes 30 seconds
128	Fawad Jillani	40 %	3 minutes 5 seconds
129	Haha	40 %	3 minutes 59 seconds
130	Huzaifa ali	40 %	4 minutes 28 seconds
131	Ahmad Ali	40 %	7 minutes 3 seconds
132	MUHAMMAD NOMAN WAJID	40 %	7 minutes 21 seconds
133	Maaz	40 %	7 minutes 52 seconds
134	ma	40 %	8 minutes 32 seconds
135	Kashif Iqbal	40 %	11 minutes 16 seconds
136	Fatima Ajmal	40 %	13 minutes 17 seconds
137	Najeeb Ahmed	40 %	13 minutes 40 seconds
138	jawad ahmed	40 %	13 minutes 50 seconds
139	TOUQEER ABBAS	40 %	14 minutes 22 seconds
140	.	40 %	15 minutes 19 seconds
141	rida	40 %	15 minutes 51 seconds
142	fawad	40 %	17 minutes 53 seconds
143	Saeed ullah shah	40 %	19 minutes 42 seconds
144	HIBA	35 %	37 seconds
145	Muhammad Momin Sajjad	35 %	1 minutes 50 seconds
146	Sadam Hussain	35 %	2 minutes 14 seconds
147	Amir	35 %	2 minutes 24 seconds
148	Jibrail	35 %	3 minutes 59 seconds
149	Haseeb	35 %	4 minutes 12 seconds
150	madiha	35 %	4 minutes 28 seconds
151	arhum	35 %	4 minutes 28 seconds
152	arya	35 %	6 minutes 1 seconds
153	Muhammad Awais	35 %	6 minutes 2 seconds
154	maaz	35 %	6 minutes 19 seconds
155	m	35 %	6 minutes 49 seconds
156	Furqan Ahmed	35 %	6 minutes 55 seconds
157	Muhammad saad ur rehman	35 %	7 minutes 15 seconds
158	Dawood	35 %	7 minutes 24 seconds
159	Nn	35 %	7 minutes 29 seconds
160	Azwa Mudassar	35 %	9 minutes 36 seconds
161	Wajiha	35 %	10 minutes 19 seconds
162	Ahmed Nafees	35 %	12 minutes 24 seconds
163	Fatima	35 %	12 minutes 38 seconds
164	sunila	35 %	13 minutes 13 seconds
165	Ayesha	35 %	13 minutes 53 seconds
166	Moiz	35 %	14 minutes 59 seconds
167	za	35 %	15 minutes 15 seconds
168	sded	35 %	16 minutes 7 seconds
169	Usman Malik	35 %	17 minutes 9 seconds
170	A.	35 %	17 minutes 33 seconds
171	YaSiR	35 %	24 minutes 13 seconds
172	Talha	35 %	25 minutes 12 seconds
173	eman	30 %	1 minutes 15 seconds
174	tashfeen	30 %	1 minutes 37 seconds
175	M Miqdam Haider	30 %	2 minutes 34 seconds
176	Abdullah umar	30 %	2 minutes 37 seconds
177	Muhammad Abu Zar	30 %	2 minutes 44 seconds
178	Rukhsh	30 %	2 minutes 46 seconds
179	Abdullah	30 %	2 minutes 52 seconds
180	Aniya	30 %	3 minutes 8 seconds
181	Ss	30 %	4 minutes 4 seconds
182	GHULAM JILANI	30 %	4 minutes 17 seconds
183	fiza	30 %	4 minutes 43 seconds
184	Rameez	30 %	4 minutes 44 seconds
185	Sohaib Hafeez	30 %	5 minutes 4 seconds
186	ahmar	30 %	5 minutes 34 seconds
187	Ubaid	30 %	5 minutes 54 seconds
188	Asma	30 %	6 minutes 15 seconds
189	Who cares	30 %	6 minutes 46 seconds
190	Arib	30 %	7 minutes 17 seconds
191	muhammad sohaib	30 %	8 minutes 10 seconds
192	Ahmad faiz khan	30 %	8 minutes 11 seconds
193	nemo	30 %	12 minutes 51 seconds
194	Faiq Waleed	30 %	12 minutes 52 seconds
195	Ismail Ismail	30 %	14 minutes 56 seconds
196	y	30 %	16 minutes 32 seconds
197	Zeeshanjaat	30 %	18 minutes 43 seconds
198	ume ayesha	30 %	22 minutes 30 seconds
199	Ggfgh	30 %	23 minutes 33 seconds
200	PLSBOOST	25 %	33 seconds
201	M.FAIZAN SAFDAR	25 %	2 minutes 4 seconds
202	anaya noor	25 %	2 minutes 21 seconds
203	H	25 %	2 minutes 38 seconds
204	Dawood	25 %	2 minutes 43 seconds
205	Kashif	25 %	3 minutes 13 seconds
206	my	25 %	4 minutes 15 seconds
207	Iqra	25 %	4 minutes 25 seconds
208	hassan	25 %	4 minutes 30 seconds
209	Muhammad Taha Khalid	25 %	4 minutes 40 seconds
210	Saad Khan	25 %	5 minutes 13 seconds
211	Bial	25 %	5 minutes 24 seconds
212	urwah	25 %	5 minutes 31 seconds
213	Abdullah	25 %	5 minutes 38 seconds
214	Muhammad Moeen	25 %	6 minutes 33 seconds
215	Mari	25 %	6 minutes 54 seconds
216	malika	25 %	7 minutes 25 seconds
217	Sadia	25 %	9 minutes 19 seconds
218	Adil	25 %	10 minutes 5 seconds
219	adnan ashiq	25 %	10 minutes 7 seconds
220	ridwan	25 %	13 minutes 23 seconds
221	T	25 %	18 minutes 27 seconds
222	sadaf	25 %	27 minutes 34 seconds
223	groots	25 %	29 minutes 39 seconds
224	maliksubhan	20 %	1 minutes 30 seconds
225	R	20 %	2 minutes 23 seconds
226	Ayesha	20 %	2 minutes 44 seconds
227	Muhammad Ali	20 %	3 minutes
228	Hasnain	20 %	3 minutes 2 seconds
229	Muhammad Musa Shahid	20 %	3 minutes 34 seconds
230	Noor	20 %	4 minutes 3 seconds
231	Bilal	20 %	5 minutes 7 seconds
232	Hamza	20 %	6 minutes 19 seconds
233	kk	20 %	7 minutes 5 seconds
234	Mahad	20 %	8 minutes 5 seconds
235	Muhammad Essa Mahar	20 %	8 minutes 49 seconds
236	Wilayat Ali	20 %	9 minutes 53 seconds
237	Ubaidullah	20 %	10 minutes 58 seconds
238	Daniyal	20 %	26 minutes 24 seconds
239	anaya noor	15 %	1 minutes 19 seconds
240	Annu	15 %	2 minutes 35 seconds
241	Elsa	15 %	2 minutes 57 seconds
242	R	15 %	2 minutes 58 seconds
243	Bilal	15 %	3 minutes 44 seconds
244	Abdullah abbas	15 %	4 minutes 7 seconds
245	Safi ullah	15 %	5 minutes 22 seconds
246	Abid ur Rahman	15 %	8 minutes 34 seconds
247	Fehria Zainab	15 %	13 minutes 11 seconds
248	Talha	10 %	2 minutes 21 seconds
249	Fatima Navaid	5 %	47 seconds
250	MUHAMMAD ABDULLAH	5 %	51 seconds
251	Amina	5 %	2 minutes 2 seconds
252	anaya noor	5 %	3 minutes
253	Name	5 %	8 minutes 3 seconds
254	abdullah umar	0 %	19 seconds
255	ISRAR ALI	0 %	25 seconds
256	azan ali shah	0 %	27 seconds
257	Mahamfaryad	0 %	54 seconds
258	Alisha noor	0 %	1 minutes 9 seconds
259	Umer	0 %	1 minutes 29 seconds

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Mathematics Diagnostic Tests

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