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.

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Created by PLS Academy

Mathematics Diagnostic Test

Topic: Mathematics Diagnostic Test

Quiz Contains: 20 MCQs

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1 / 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)

2 / 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

3 / 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})

4 / 20

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

-1

None of these

5 / 20

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

3/7

1/7

2/7

6 / 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?

7 / 20

sin 15=?

√3 – 1 / 2√2

√3+1 / 2√2

√3 +1 / 2

√3 – 1 / 2

8 / 20

Sin^-1 (-x) =…….

– Sin-1x

Sin-¹ x

π – Sin-1 x

π – Sin x

9 / 20

10 / 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

11 / 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

12 / 20

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

13 / 20

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

2π

π /2

Non of these

14 / 20

If cos x=-1 then solution set is

{pi}

{pi+npi}

{pi+2npi, n€Z}

None of these

15 / 20

2 sin² [a/2]=

1+cos a

1- cos a

1+sin a

1- sin a

16 / 20

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

(a) Real & distinct

(b) Imaginary & distinct

(d) Irrational and distinct

17 / 20

Derivation of x3 w.r.t x2 is:

3x^2

None of these

18 / 20

19 / 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

20 / 20

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	Danyal	100 %	1 minutes 16 seconds
6	osaid	100 %	2 minutes 41 seconds
7	ibraheem	95 %	50 seconds
8	Dawood	95 %	52 seconds
9	NONE	95 %	52 seconds
10	abdullah umar	95 %	56 seconds
11	Saad	95 %	1 minutes 1 seconds
12	Yahya Asad	95 %	1 minutes 12 seconds
13	abdullah umar	95 %	1 minutes 12 seconds
14	Jawad	95 %	1 minutes 26 seconds
15	NONE\	90 %	51 seconds
16	NONE	90 %	56 seconds
17	Muhammad Awais	90 %	1 minutes 6 seconds
18	12345	90 %	1 minutes 11 seconds
19	sms	90 %	1 minutes 16 seconds
20	Saad saeed	90 %	1 minutes 22 seconds
21	Bilal	90 %	1 minutes 30 seconds
22	ibraheem	90 %	1 minutes 34 seconds
23	Taha	90 %	1 minutes 56 seconds
24	urwah	90 %	2 minutes 14 seconds
25	sddc	90 %	2 minutes 32 seconds
26	Ahmed Nafees	90 %	4 minutes 20 seconds
27	Maham	90 %	5 minutes 16 seconds
28	Wardan Ahmed	85 %	40 seconds
29	Dawood	85 %	1 minutes 10 seconds
30	Arib	85 %	1 minutes 20 seconds
31	Hello 2	85 %	1 minutes 23 seconds
32	sadi	85 %	1 minutes 47 seconds
33	nelson	85 %	1 minutes 56 seconds
34	DKrfkf	85 %	2 minutes 17 seconds
35	Mudasir bangash	85 %	2 minutes 20 seconds
36	Saeed	85 %	2 minutes 46 seconds
37	Wardan Ahmed	80 %	40 seconds
38	dawood	80 %	1 minutes
39	Gggg	80 %	1 minutes 4 seconds
40	RIDWAN	80 %	1 minutes 13 seconds
41	N	80 %	1 minutes 39 seconds
42	Talha	80 %	1 minutes 49 seconds
43	Najeeb Ahmed	80 %	1 minutes 52 seconds
44	Shifa Arif	80 %	1 minutes 57 seconds
45	Wardan Ahmed	75 %	38 seconds
46	Wardan Ahmed	75 %	40 seconds
47	Wardan Ahmed	75 %	40 seconds
48	Wardan Ahmed	75 %	41 seconds
49	Saif	75 %	57 seconds
50	urwah	75 %	1 minutes 31 seconds
51	Hi	75 %	1 minutes 37 seconds
52	Ahmad	75 %	1 minutes 38 seconds
53	NOONE	75 %	1 minutes 40 seconds
54	rida	75 %	1 minutes 47 seconds
55	Nimra	75 %	1 minutes 54 seconds
56	Ahmad faiz khan	75 %	2 minutes 21 seconds
57	Muhammmad yahya	75 %	2 minutes 26 seconds
58	ma	75 %	2 minutes 47 seconds
59	JawD	75 %	2 minutes 54 seconds
60	Muhammad Awais	75 %	3 minutes 5 seconds
61	Harram	75 %	5 minutes 39 seconds
62	Yasir	75 %	6 minutes 16 seconds
63	raomohib	75 %	31 minutes 2 seconds
64	uzair	75 %	34 minutes 30 seconds
65	Hhhh	70 %	1 minutes 8 seconds
66	Hhh	70 %	1 minutes 37 seconds
67	amna	70 %	1 minutes 41 seconds
68	Haseeb	70 %	1 minutes 50 seconds
69	Abdullah umar	70 %	1 minutes 58 seconds
70	Muhammad Essa Mahar	70 %	2 minutes 18 seconds
71	anand	70 %	3 minutes 5 seconds
72	mm alam	70 %	3 minutes 11 seconds
73	.	70 %	4 minutes 28 seconds
74	fjwkjsj	70 %	10 minutes 28 seconds
75	Muhammad Maaz khan	70 %	17 minutes 40 seconds
76	Danyal	70 %	18 minutes 19 seconds
77	Wardan Ahmed	65 %	39 seconds
78	Ali	65 %	55 seconds
79	Jibrail	65 %	1 minutes 17 seconds
80	Noor	65 %	1 minutes 30 seconds
81	david	65 %	1 minutes 30 seconds
82	Muaz Rana	65 %	1 minutes 53 seconds
83	Adil	65 %	2 minutes 13 seconds
84	Hello	65 %	2 minutes 23 seconds
85	Tanoli Bilal	65 %	2 minutes 28 seconds
86	Abid ur Rahman	65 %	5 minutes 29 seconds
87	Ubaidullah	65 %	7 minutes 13 seconds
88	Wardan Ahmed	60 %	37 seconds
89	Azan	60 %	1 minutes 35 seconds
90	R	60 %	1 minutes 42 seconds
91	Haseeb	60 %	2 minutes 13 seconds
92	Sadia	60 %	2 minutes 21 seconds
93	Miqdam Haider	60 %	2 minutes 31 seconds
94	Azwa mudassar	60 %	4 minutes 59 seconds
95	Zainab	60 %	12 minutes 58 seconds
96	Ibraheem	60 %	13 minutes 11 seconds
97	ggg	60 %	18 minutes 13 seconds
98	fatima	60 %	20 minutes 21 seconds
99	Asfg	60 %	22 minutes 59 seconds
100	op bolty	60 %	36 minutes 57 seconds
101	Nimra	60 %	50 minutes 28 seconds
102	Ayla Saeed	60 %	55 minutes 29 seconds
103	satii	60 %	3 hours 32 minutes 6 seconds
104	Wardan Ahmed	55 %	38 seconds
105	Wardan Ahmed	55 %	39 seconds
106	Ahmad Hassan	55 %	3 minutes 35 seconds
107	Ubaid	55 %	5 minutes 16 seconds
108	Mudasir Jamal	55 %	7 minutes 29 seconds
109	Meerab Jawwad	55 %	8 minutes 9 seconds
110	Soem	55 %	8 minutes 46 seconds
111	Muhammad Hamid	55 %	11 minutes 17 seconds
112	Taha	55 %	13 minutes 20 seconds
113	Mee	55 %	17 minutes 49 seconds
114	MANAHIL03171461578	55 %	19 minutes 40 seconds
115	nemo	55 %	20 minutes 10 seconds
116	None	55 %	25 minutes 16 seconds
117	Maham	55 %	26 minutes 14 seconds
118	Uzair	55 %	28 minutes 36 seconds
119	Kisa	55 %	29 minutes 44 seconds
120	Abdullah	55 %	41 minutes 29 seconds
121	nelson	55 %	3 hours 35 minutes 50 seconds
122	Ali	50 %	1 minutes 13 seconds
123	Noor	50 %	1 minutes 41 seconds
124	Hafsa	50 %	2 minutes 49 seconds
125	Fghhh	50 %	2 minutes 54 seconds
126	Zubaida	50 %	4 minutes 52 seconds
127	Ehsan shah	50 %	5 minutes 6 seconds
128	Safi	50 %	5 minutes 51 seconds
129	sms	50 %	6 minutes 4 seconds
130	As	50 %	6 minutes 17 seconds
131	Sheraz	50 %	6 minutes 24 seconds
132	Iraj	50 %	7 minutes
133	rida	50 %	8 minutes 21 seconds
134	M Miqdam Haider	50 %	8 minutes 36 seconds
135	Mari	50 %	9 minutes 47 seconds
136	sadia	50 %	9 minutes 59 seconds
137	Najeeb Ahmed	50 %	10 minutes 36 seconds
138	Talha Bhatti	50 %	13 minutes 50 seconds
139	osaid	50 %	52 minutes 56 seconds
140	Dawood	45 %	27 seconds
141	Wardan Ahmed	45 %	37 seconds
142	GHULAM	45 %	1 minutes 58 seconds
143	Usama	45 %	2 minutes 5 seconds
144	iufudfud	45 %	2 minutes 9 seconds
145	Ggggg	45 %	2 minutes 27 seconds
146	Hhhh	45 %	2 minutes 35 seconds
147	Saif khan	45 %	2 minutes 56 seconds
148	Dileep	45 %	3 minutes 28 seconds
149	amna	45 %	3 minutes 47 seconds
150	..	45 %	4 minutes 20 seconds
151	peaky blinder	45 %	5 minutes 8 seconds
152	Siwiw	45 %	5 minutes 11 seconds
153	Muaz Rana	45 %	6 minutes 14 seconds
154	Muhammmad yahya	45 %	6 minutes 22 seconds
155	Ahmad	45 %	7 minutes 34 seconds
156	Muhammad Ali	45 %	7 minutes 52 seconds
157	Jawad	45 %	8 minutes 33 seconds
158	NONE OF YOU CONCERN	45 %	8 minutes 36 seconds
159	hi	45 %	9 minutes 5 seconds
160	Yahya Asad	45 %	12 minutes 31 seconds
161	rr	45 %	12 minutes 44 seconds
162	Haroon	45 %	14 minutes 19 seconds
163	Raj rathi	45 %	17 minutes 17 seconds
164	anand	45 %	17 minutes 35 seconds
165	Hafeezullah	45 %	21 minutes 49 seconds
166	Adnanh	45 %	59 minutes 58 seconds
167	Hamza Jadoon	45 %	1 hours 2 minutes 30 seconds
168	Wardan Ahmed	40 %	2 minutes 15 seconds
169	Muzammal	40 %	2 minutes 58 seconds
170	Fawad Jillani	40 %	3 minutes 5 seconds
171	Seemab	40 %	3 minutes 48 seconds
172	Haha	40 %	3 minutes 59 seconds
173	Huzaifa ali	40 %	4 minutes 28 seconds
174	sms	40 %	6 minutes 53 seconds
175	Ahmad Ali	40 %	7 minutes 3 seconds
176	jj	40 %	7 minutes 18 seconds
177	MUHAMMAD NOMAN WAJID	40 %	7 minutes 21 seconds
178	Abdul Moeed	40 %	7 minutes 34 seconds
179	Maaz	40 %	7 minutes 52 seconds
180	ma	40 %	8 minutes 32 seconds
181	harram	40 %	9 minutes 58 seconds
182	Kashif Iqbal	40 %	11 minutes 16 seconds
183	anon	40 %	11 minutes 23 seconds
184	Fatima Ajmal	40 %	13 minutes 17 seconds
185	Najeeb Ahmed	40 %	13 minutes 40 seconds
186	jawad ahmed	40 %	13 minutes 50 seconds
187	TOUQEER ABBAS	40 %	14 minutes 22 seconds
188	.	40 %	15 minutes 19 seconds
189	Shifa Arif	40 %	15 minutes 30 seconds
190	rida	40 %	15 minutes 51 seconds
191	fawad	40 %	17 minutes 53 seconds
192	Saeed ullah shah	40 %	19 minutes 42 seconds
193	HIBA	35 %	37 seconds
194	Wardan Ahmed	35 %	44 seconds
195	Wardan Ahmed	35 %	48 seconds
196	Hamna	35 %	1 minutes 8 seconds
197	Qasim	35 %	1 minutes 31 seconds
198	Muhammad Momin Sajjad	35 %	1 minutes 50 seconds
199	Fizza	35 %	2 minutes 11 seconds
200	Sadam Hussain	35 %	2 minutes 14 seconds
201	Amir	35 %	2 minutes 24 seconds
202	Ali	35 %	3 minutes 6 seconds
203	Jibrail	35 %	3 minutes 59 seconds
204	ALI MEHDI	35 %	4 minutes 1 seconds
205	Haseeb	35 %	4 minutes 12 seconds
206	madiha	35 %	4 minutes 28 seconds
207	arhum	35 %	4 minutes 28 seconds
208	arya	35 %	6 minutes 1 seconds
209	Muhammad Awais	35 %	6 minutes 2 seconds
210	maaz	35 %	6 minutes 19 seconds
211	Muhammad Ahmad	35 %	6 minutes 34 seconds
212	m	35 %	6 minutes 49 seconds
213	Furqan Ahmed	35 %	6 minutes 55 seconds
214	Muhammad saad ur rehman	35 %	7 minutes 15 seconds
215	Dawood	35 %	7 minutes 24 seconds
216	Nn	35 %	7 minutes 29 seconds
217	rayan bilal	35 %	8 minutes 50 seconds
218	Azwa Mudassar	35 %	9 minutes 36 seconds
219	Wajiha	35 %	10 minutes 19 seconds
220	Ahmed Nafees	35 %	12 minutes 24 seconds
221	Fatima	35 %	12 minutes 38 seconds
222	Amber Mirza	35 %	13 minutes 8 seconds
223	sunila	35 %	13 minutes 13 seconds
224	Ayesha	35 %	13 minutes 53 seconds
225	Moiz	35 %	14 minutes 59 seconds
226	za	35 %	15 minutes 15 seconds
227	sded	35 %	16 minutes 7 seconds
228	Usman Malik	35 %	17 minutes 9 seconds
229	A.	35 %	17 minutes 33 seconds
230	YaSiR	35 %	24 minutes 13 seconds
231	Talha	35 %	25 minutes 12 seconds
232	eman	30 %	1 minutes 15 seconds
233	tashfeen	30 %	1 minutes 37 seconds
234	M Miqdam Haider	30 %	2 minutes 34 seconds
235	Abdullah umar	30 %	2 minutes 37 seconds
236	Muhammad Abu Zar	30 %	2 minutes 44 seconds
237	Rukhsh	30 %	2 minutes 46 seconds
238	Abdullah	30 %	2 minutes 52 seconds
239	Aniya	30 %	3 minutes 8 seconds
240	Ss	30 %	4 minutes 4 seconds
241	GHULAM JILANI	30 %	4 minutes 17 seconds
242	fiza	30 %	4 minutes 43 seconds
243	Rameez	30 %	4 minutes 44 seconds
244	Sohaib Hafeez	30 %	5 minutes 4 seconds
245	ahmar	30 %	5 minutes 34 seconds
246	Ubaid	30 %	5 minutes 54 seconds
247	Haseeb	30 %	6 minutes 4 seconds
248	Asma	30 %	6 minutes 15 seconds
249	Ayesha	30 %	6 minutes 23 seconds
250	Who cares	30 %	6 minutes 46 seconds
251	Syed Farrukh Shah	30 %	7 minutes 12 seconds
252	Arib	30 %	7 minutes 17 seconds
253	muhammad sohaib	30 %	8 minutes 10 seconds
254	Ahmad faiz khan	30 %	8 minutes 11 seconds
255	nemo	30 %	12 minutes 51 seconds
256	Faiq Waleed	30 %	12 minutes 52 seconds
257	Ismail Ismail	30 %	14 minutes 56 seconds
258	y	30 %	16 minutes 32 seconds
259	Muhammad musa	30 %	17 minutes 13 seconds
260	Zeeshanjaat	30 %	18 minutes 43 seconds
261	ume ayesha	30 %	22 minutes 30 seconds
262	Ggfgh	30 %	23 minutes 33 seconds
263	PLSBOOST	25 %	33 seconds
264	M.FAIZAN SAFDAR	25 %	2 minutes 4 seconds
265	M, Jahanzaib Khan	25 %	2 minutes 12 seconds
266	anaya noor	25 %	2 minutes 21 seconds
267	ehsan	25 %	2 minutes 36 seconds
268	H	25 %	2 minutes 38 seconds
269	Dawood	25 %	2 minutes 43 seconds
270	Kashif	25 %	3 minutes 13 seconds
271	H	25 %	3 minutes 29 seconds
272	my	25 %	4 minutes 15 seconds
273	Iqra	25 %	4 minutes 25 seconds
274	hassan	25 %	4 minutes 30 seconds
275	Muhammad Taha Khalid	25 %	4 minutes 40 seconds
276	Saad Khan	25 %	5 minutes 13 seconds
277	Bial	25 %	5 minutes 24 seconds
278	urwah	25 %	5 minutes 31 seconds
279	.	25 %	5 minutes 37 seconds
280	Abdullah	25 %	5 minutes 38 seconds
281	Muhammad Moeen	25 %	6 minutes 33 seconds
282	Mari	25 %	6 minutes 54 seconds
283	Muneeb	25 %	7 minutes 9 seconds
284	malika	25 %	7 minutes 25 seconds
285	Sadia	25 %	9 minutes 19 seconds
286	Adil	25 %	10 minutes 5 seconds
287	adnan ashiq	25 %	10 minutes 7 seconds
288	ridwan	25 %	13 minutes 23 seconds
289	T	25 %	18 minutes 27 seconds
290	sadaf	25 %	27 minutes 34 seconds
291	groots	25 %	29 minutes 39 seconds
292	Aydha	20 %	1 minutes 18 seconds
293	maliksubhan	20 %	1 minutes 30 seconds
294	R	20 %	2 minutes 23 seconds
295	Noor ul Huda	20 %	2 minutes 40 seconds
296	Ayesha	20 %	2 minutes 44 seconds
297	Muhammad Ali	20 %	3 minutes
298	Hasnain	20 %	3 minutes 2 seconds
299	Meerab Jawwad	20 %	3 minutes 9 seconds
300	Muhammad Musa Shahid	20 %	3 minutes 34 seconds
301	Noor	20 %	4 minutes 3 seconds
302	Zmsox	20 %	4 minutes 53 seconds
303	Bilal	20 %	5 minutes 7 seconds
304	Hamza	20 %	6 minutes 19 seconds
305	kk	20 %	7 minutes 5 seconds
306	Mahad	20 %	8 minutes 5 seconds
307	Muhammad Essa Mahar	20 %	8 minutes 49 seconds
308	Sheharyar Khan	20 %	9 minutes 10 seconds
309	Wilayat Ali	20 %	9 minutes 53 seconds
310	Ubaidullah	20 %	10 minutes 58 seconds
311	Daniyal	20 %	26 minutes 24 seconds
312	anaya noor	15 %	1 minutes 19 seconds
313	Annu	15 %	2 minutes 35 seconds
314	Elsa	15 %	2 minutes 57 seconds
315	R	15 %	2 minutes 58 seconds
316	Bilal	15 %	3 minutes 44 seconds
317	Abdullah abbas	15 %	4 minutes 7 seconds
318	Safi ullah	15 %	5 minutes 22 seconds
319	Sateedan	15 %	7 minutes 9 seconds
320	Abid ur Rahman	15 %	8 minutes 34 seconds
321	Fehria Zainab	15 %	13 minutes 11 seconds
322	Talha	10 %	2 minutes 21 seconds
323	Fatima Navaid	5 %	47 seconds
324	MUHAMMAD ABDULLAH	5 %	51 seconds
325	Amina	5 %	2 minutes 2 seconds
326	anaya noor	5 %	3 minutes
327	Name	5 %	8 minutes 3 seconds
328	abdullah umar	0 %	19 seconds
329	ISRAR ALI	0 %	25 seconds
330	azan ali shah	0 %	27 seconds
331	ali	0 %	52 seconds
332	Mahamfaryad	0 %	54 seconds
333	Alisha noor	0 %	1 minutes 9 seconds
334	Umer	0 %	1 minutes 29 seconds

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